Comparison of Fuzzy AHP and AHP in Multicriteria Inventory Classiﬁcation While Planning Green Infrastructure for Resilient Stream Ecosystems

: As climate change-induced weather variability increases, various green infrastructure plans, such as stream ecosystems, have been studied to overcome ecological and environmental problems arising from extreme weather events; however, our understanding of them and their resilience to extreme weather events is considerably limited. This study proposes a multicriteria inventory classiﬁcation while planning green infrastructure for resilient stream ecosystems under extreme weather events. Literature reviews, expert surveys, and reliability / validity analyses were used to enlist indicators for this classiﬁcation. The analytic hierarchy process (AHP) and fuzzy analytic hierarchy process (fuzzy AHP) were used to compute the weights and ranks of indicators for identifying critical indices while planning green infrastructure. The AHP and fuzzy AHP analysis suggested that meteorological phenomena and disasters, hydraulic characteristic of streams, land use / geographic characteristics, and experience / damage restoration were important factors. High weights were attributed to aquatic ecology, potentially vulnerable areas, population, topography, and heat waves. The weights and ranks attributed by AHP and fuzzy AHP varied slightly, but the indicator groups with high and low weights were the same; hence, primary indicators to be considered while planning green infrastructure for resilient stream ecosystems could be suggested. These results could be used as a preliminary analysis in establishing countermeasures against climate change or in distributing budgets for green infrastructure plans.


Introduction
Stream ecosystems are particularly vulnerable to climate change because they are directly affected by extreme weather events caused by climate change and spatiotemporal variability [1]. Extreme weather events, such as drought, flooding, and heat waves lead to fluctuations in water temperature and flow rates in stream ecosystems, resulting in physical, chemical, and biological disturbances in the stream ecosystems [2][3][4]. Furthermore, extreme weather events affect environmental systems that include stream ecosystems; consequently, the entire environmental system become less resilient [5].
To reduce the damages and disturbances in an environmental system including streams, the concept of resilience needs to be considered. First introduced by Holling [6], in terms of climate change

Literature Review
Streams are a critical aspect of green infrastructure, which not only maintain biodiversity but also provide social and economic benefits [34,35]. However, several climate change induced extreme weather events, including heat waves, droughts, floods, and typhoons, threaten the resilience of stream ecosystems. Previous studies on green infrastructure planning have been conducted to improve the resilience of stream ecosystems in response to climate change. For example, Environmental Protection Agency (EPA) and Yaoze Liu [36,37] presented low-impact development to improve urban water circulation and reduce the effects of floods and storm water, while Han et al. [38] suggested facilities such as rooftop greening and artificial wetlands to control runoff. Beckingham [18] suggested providing ecological services, dampening storm water flows, and reducing pollutants through storm water ponds built using the green infrastructure best management practice method. Chao Mei [39] conducted an integrated assessment based on a storm water management model and life cycle cost analysis to mitigate flooding in urbanized watersheds and identified the most effective green infrastructure strategy. However, studies on green infrastructure planning for stream ecosystems have mainly focused on disaster prevention and hydrologic systems; hence, research concerning water environments and aquatic ecology were found to be relatively scarce [40].
Studies have also been conducted to develop vulnerability assessment indicators to improve resilience to extreme weather events caused by climate change. In the marine sector, indicators were selected to evaluate vulnerability in the fisheries sector [23], resilience in marine regions [41][42][43], and the effects of climate change on marine organisms [44]. In the agricultural sector, indicators were selected to evaluate the vulnerability to agricultural production infrastructure and productivity [45,46], vulnerability to rice pests [47], and resilience of African agriculture to climate change [48]. In addition, an index was developed based on spatial information to evaluate the vulnerability of forest ecosystems to climate change [49,50], while in the urban sector, the vulnerability to heat waves and urban thermal environments was assessed, and an improvement policy was proposed [24,51,52]. Studies on the effects of climate change on water management have focused on biological elements [53][54][55], disaster prevention [19,56], and water resources [57][58][59]. However, research on the effects of climate change on the water quality and aquatic ecosystems of streams is still in a nascent stage [21,60]. With climate change induced extreme weather phenomena, resilience indicators for stream ecosystems which suggested for evaluating vulnerability to climate change are related to social system and ecological system directly and indirectly [21,22,[60][61][62][63][64][65][66]. The indicators that help evaluate the frequency and intensity of meteorological disasters, social indicators such as population, and those that play a role in mitigating disasters have been suggested [61][62][63][64]. Kim et al. and Kim et al. [21,58] researched the vulnerability of water management and presented indicators for areas directly affected by disasters, and for physical property and human damage caused by disasters. Park et al. and Koh and Kim [22,59] suggested indicators to evaluate the level of stable supply of water resources and access to clean water, and to evaluate economic resources and administrative capabilities when responding to disasters. Han et al. and Myung et al. [65,66] suggested indicators related to social infrastructure that play a pivotal role in maintaining and recovering urban functions during meteorological disasters. Although Ministry of Environment (MOE) and Ryu et al. [67,68] is not a study related to evaluating vulnerability, it is referred to when selecting an indicator because it represents the structure, hydraulic characteristics, and ecological health of streams, and presents social, economic, and environmental indicators that affect streams.
In order to develop a resilient stream ecosystem in response to climate change, previous studies were identified to understand the type of green infrastructure plans required for improving the resilience of stream ecosystems, and to select indicators to evaluate their vulnerability and resilience. Although studies to address climate change have been conducted in various fields, green infrastructure planning and vulnerability assessments have mainly focused on physical factors and disaster prevention. Hence, understanding the ecological, social, and environmental aspects of stream ecosystems was a fundamental step. Therefore, by establishing evaluation indicators through a literature review, we aimed to establish a multicriteria inventory classification for consideration while planning green infrastructure for resilient stream ecosystems based on a social-ecological system that helps encompass the complexity of stream ecosystems.

AHP
This study proposes the use of AHP and fuzzy AHP to determine the weights of indicators in a multicriteria inventory classification. The AHP was devised by Saaty [69] to make the best choice through weights and ranks, considering various alternatives and complex criteria ( Table 1). The AHP helps simplify criteria by clarifying the overall goal and organizing complex criteria into a hierarchical structure, such as criteria, sub-criteria, etc. [70]. In addition, the relative weights of the alternatives of each criterion and their overall ranks can be easily identified through a pairwise comparison [71]. The AHP is widely used in various fields requiring decision-making processes and also for weighting of vulnerability assessments of climate change [23,24,72]. Table 1. Comparison scale for AHP [69].

Scale
Definition Explanation The first step of the AHP involves establishing a hierarchical structure of decision-making problems. A comprehensive goal is established at the top level; thereafter, a connection is made between the top and bottom elements, i.e., the interrelated decision elements to achieve the overall goal. The second step involves a pairwise comparison of the decision elements. To obtain the weight of the decision element, we can ask how much i is preferred for element j compared to each element in the hierarchy consisting of n elements using a nine-point scale. The nine-point scale is as proposed by Saaty [69] based on Miller's experimental results, wherein the human short-term information processing ability is determined as 7 ± 2 and is most often employed when the AHP method is applied [73]. a ij = 1 means i and j are equally important, a ij = 7 means i is very strongly more important than j, and a ij = k signifies that a ji = 1/k. The result of comparing elements i and j can be obtained with the comparison matrix A = (a ij ); i, j = 1,2, ···, n.

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The third step involves deleting inconsistent values by verifying consistency. The consistency index (CI) and consistency ratio (CR) are used to verify whether respondents consistently respond to pairwise comparison questions. For example, if the respondents answer that i is more important than j, and j is mor important than k, then for i and k, the respondents should answer that i is more important than k. The more consistent the responses, the smaller is the CI; and if the CR is ≤0.1, it is determined to be consistent. Criteria with CR < 0.1 and < 0.2 are considered reasonable and acceptable, respectively [71]. Here, the CR was set below 0.2 considering that the AHP hierarchical structure consisted of two layers; hence, there are numerous pairwise comparison elements. The CI and CR can be obtained by Equations (2) and (3), where λ max is the principal eigenvalue, and RI is a random index.
Finally, the vectors of weights are calculated by Saaty's eigenvector. After comparison matrices are composed, the eigenvector is normalized by Equation (4). Then, the weights are calculated by Equation (5).

Fuzzy AHP
The AHP method has many positive aspects; however, it has a limitation. It is difficult for respondents to clearly determine their preferences as a single value, and the standard of the accepted value could differ depending on the respondent, even if the same value is obtained [74,75]. A methodology was required to compensate for the ambiguity and uncertainty of the response due to the linguistic limitations of the AHP, and a fuzzy AHP emerged [75,76]. Fuzzy AHP, developed by Laarhoven and Pedrycz [77], is an addition of the existing fuzzy theory to the AHP method to compensate for the disadvantages of AHP. The fuzzy AHP is expressed as an interval using a triangular fuzzy scale rather than a specific value using a nine-point scale to reflect the uncertainty of the selection of respondents [78]. The execution of the fuzzy AHP is outlined here. First, as in the AHP, a hierarchical structure is established and a pairwise comparison is performed; Table 2 shows the scale used for the pairwise comparison [78,79]. Second, through Equations (6)-(9), the value of the fuzzy synthetic extent S i = (l i , m i , u i ) for the i th object can be calculated as follows: Third, the degree of possibility between two fuzzy synthetic extent values is compared. The degree of probability that S j = (l j , m j , u j ) ≥ S i = (l i , m i , u i ) is obtained as follows: Fourth, the degree of possibility for a convex fuzzy number to be greater than "k" convex fuzzy numbers can be calculated as follows: Finally, it is assumed that d(i) = min V(S i >= S k ). Then, the weight vector is given by

Methodology Framework
This study aimed to propose a multicriteria inventory classification method on green infrastructure planning for resilient stream ecosystem in response to extreme weather events. In addition, this study examined the relative weights and priorities of classified indicator groups. From previous studies, we extracted 116 potential indicators assessing vulnerability and resilience of stream ecosystems for establishing green infrastructure in response to extreme climate events. To focus on establishing the indicators for a multicriteria inventory classification and calculating their weights for a resilient stream ecosystem, the methodology was systematic/structured. Here, the methodology framework was formulated in three primary stages ( Figure 1).
Stage 1: Establishment of the multicriteria inventory classification, which included: (a) gathering potential evaluation indicators from prior studies; (b) classifying the evaluation indicators based on various criteria; and (c) confirming the reliability and validity of the evaluation indicators through a pilot test for the main survey.
A reliability and factor analysis was used for the pilot test, and irrelevant indicators were deleted to refine the classification of the evaluation indicators [80,81]. The respondents consisted of 22 researchers with a master's degree or higher in aquatic ecosystem, resilience, and landscape studies. They were asked questions about the importance of each evaluation indicator, which were scored based on the most used Likert five-point scale. Multiple on-line surveys were performed for the multiple expert groups, including government agencies, engineers, and college educators, during the period of 1 January-31 March in 2020.
Stage 2: Weights and ranks were assigned to the indicators being considered in the multicriteria inventory classification, which included the following: (a) establishing a hierarchical structure and (b) analyzing pairwise comparisons using AHP and fuzzy AHP. addition, this study examined the relative weights and priorities of classified indicator groups. From previous studies, we extracted 116 potential indicators assessing vulnerability and resilience of stream ecosystems for establishing green infrastructure in response to extreme climate events. To focus on establishing the indicators for a multicriteria inventory classification and calculating their weights for a resilient stream ecosystem, the methodology was systematic/structured. Here, the methodology framework was formulated in three primary stages ( Figure 1). A reliability and factor analysis was used for the pilot test, and irrelevant indicators were deleted to refine the classification of the evaluation indicators [80,81]. The respondents consisted of 22 researchers with a master's degree or higher in aquatic ecosystem, resilience, and landscape studies.
They were asked questions about the importance of each evaluation indicator, which were scored based on the most used Likert five-point scale. Multiple on-line surveys were performed for the multiple expert groups, including government agencies, engineers, and college educators, during the period of 1 January-31 March in 2020. The indicators for a resilient stream ecosystem were confirmed through stage 1, and the main survey was conducted to obtain their weights and ranks in the multicriteria inventory classification. The main survey was divided into socio-economic and physio-environmental categories, with 110 and 83 respondents, respectively, who each held a master's degree or higher in aquatic ecosystem, resilience, water ecology, and landscape studies. The respondents were selected using the purposive or judgment sampling method to intentionally select a sample suitable for the research subject, and the snowball sampling method was used to expand the number of samples based on the recommendation of the respondents [82].
Stage 3: The results of the AHP and fuzzy AHP were compared; this included a comparison of the differences in ranking.

Gathering Potential Evaluation Indicators from Prior Studies
Previous studies for gathering evaluation indicators were reviewed using Google Scholar, Web of Science, Scopus and Korea Citation Index (KCI). Keywords included in the literature review were "resilience," "vulnerability," "stream ecosystem," "green infrastructure," and "climate change." Searches were carried out for studies published between 2000 and 2019. In total, 105 research papers and reports were reviewed to enlist indicators for evaluating vulnerability or resilience to climate change, improvement plans considering climate change effects, and for categorizing vulnerable areas. Research that was unrelated to the resilience of stream ecosystems was excluded. Thus, 410 indicators were derived, and 116 potential indicators were selected by excluding indicators having duplicate meanings and those irrelevant to stream ecosystems.

Classifying Evaluation Indicators Based on "Classification Criteria"
Based on the social-ecological systems concerning green infrastructure, the indicators for a resilient stream ecosystem were also divided into socio-economic and physio-environmental categories, and the criteria for the classification of these categories were set as shown by Table 3. The evaluation indicators were organized based on the "evaluation indicator classification criteria," and were classified into physio-environmental and socio-economic categories. Additionally, "evaluation indicator classification criteria" and the evaluation indicators classified accordingly were grouped into division, subdivision, and evaluation indicators to help identify a stream ecosystem and to establish a hierarchical structure for a pairwise comparison. The physio-environmental sector was divided into water quality, topography, biological factors, hydraulic characteristics of streams, meteorological phenomena, and meteorological disasters, while the socio-economic sector was divided into population, land use/geographic characteristics, economy/system, infrastructure, and experience/damage restoration. The results of the multicriteria inventory classification, composed of the indicators classified based on various criteria and a detailed outcome of factor and reliability analyses, are showed in Appendices A and B. Tables 4 and 5 show the summarized results of factor and reliability analyses.  The pilot test was conducted based on the multicriteria inventory classification to confirm the reliability and validity of the evaluation indicators and to establish their importance. In the pilot test, 21 of the 22 participants responded, and there were 0-3 missing responses for each indicators, depending on its type. The Cronbach's a values for both the physio-environmental and socio-economic sectors indicated that the indicators were reliable (Tables 4 and 5). The number of evaluation indicators was reduced by excluding those having communalities < 0.4 and low factor loading values through the factor analysis. In addition, indicators with considerably low importance or those that could not be clearly measured were also excluded; thereafter, 85 evaluation indicators were shortlisted.

Establishing a Hierarchical Structure
For the main survey, an AHP hierarchical structure was established through the division and subdivision of the evaluation indicators that were reliable and valid. As shown in Figure 2, the top layer of the hierarchical structure highlighted the primary objectives of the study, the first tier had the divisions as judgment criteria, and the second tier had the subdivisions as an alternative. A pairwise comparison of 11 divisions of the judgment criteria hierarchy and 25 subdivisions of the alternative hierarchy was performed based on the AHP hierarchical structure. We received responses from 83 and 110 experts in the physio-environmental and socio-economic sectors, respectively. Respondents with a CR ≥ 0.2 were excluded from the analysis. Consequently, 74, 56, 60, 59, 98, 87, and 76 respondents for the first tier, hydraulic characteristics, meteorological phenomena, meteorological disasters, land use/geographic characteristics and economy/system, infrastructure, and experience/damage restoration, respectively, were found to have a CR value ≤ 0.2, and weights were derived using only their responses.
alternative hierarchy was performed based on the AHP hierarchical structure. We received responses from 83 and 110 experts in the physio-environmental and socio-economic sectors, respectively. Respondents with a CR ≥ 0.2 were excluded from the analysis. Consequently, 74,56,60,59,98,87, and 76 respondents for the first tier, hydraulic characteristics, meteorological phenomena, meteorological disasters, land use/geographic characteristics and economy/system, infrastructure, and experience/damage restoration, respectively, were found to have a CR value ≤ 0.2, and weights were derived using only their responses.

Analyzing Pairwise Comparison Results through AHP and Fuzzy AHP
AHP analysis: Table 6 shows the weights and rankings obtained through the AHP. The outcome for the first tier showed that meteorological disasters, land use/geographic characteristics, hydraulic characteristics of streams, and experience/damage restoration could be considered important factors that affect the resilience of a stream ecosystem to cope with extreme weather phenomena, as they ranked high, having weights > 0.1 points. Additionally, meteorological phenomena, biological factor, and infrastructure were found to have high relative importance, as compared to economy/system, population, and topography.

Analyzing Pairwise Comparison Results through AHP and Fuzzy AHP
AHP analysis: Table 6 shows the weights and rankings obtained through the AHP. The outcome for the first tier showed that meteorological disasters, land use/geographic characteristics, hydraulic characteristics of streams, and experience/damage restoration could be considered important factors that affect the resilience of a stream ecosystem to cope with extreme weather phenomena, as they ranked high, having weights > 0.1 points. Additionally, meteorological phenomena, biological factor, and infrastructure were found to have high relative importance, as compared to economy/system, population, and topography. Considering the global weights, aquatic ecology demonstrated the highest importance, followed by potentially vulnerable areas, population, topography, heat waves, and floods, which demonstrated high importance in that order; land use, heavy rain, and runoff demonstrated an upper-middle rank. Policy capacity, hydraulic characteristics, and restoration capacity were ranked together, while vulnerable areas, water quality assessment, water supply facilities, and wastewater were ranked in the middle. Extent of damage, precipitation, economy, and groundwater demonstrated a similar low importance, followed by road/industry and industrial facilities; evacuation demonstrated the lowest importance.
Fuzzy AHP analysis: Table 7 shows the weights and ranking of indicators obtained through the fuzzy AHP. Meteorological disasters, hydraulic characteristics of streams, and land use/geographic characteristics ranked the highest in the first tier and were considered important factors affecting the goal of the hierarchical structure. Meteorological phenomena, experience/damage restoration, biological factors, and infrastructure ranked in the middle; however, water quality, population, topography, and economy/system had low weights.
Considering global weights, aquatic ecology was the most important, followed by population, topography, and potentially vulnerable areas. Heat waves, water quality assessment, runoff, policy capacity, land use, and hydraulic characteristics demonstrated an upper-middle rank, while floods, heavy rain, wastewater, restoration capacity, water supply facilities, and vulnerable areas ranked in the middle. Economy, typhoons, precipitation, road/industry, extent of damage, droughts, groundwater, and evacuation ranked lower, while industrial infrastructure had the lowest weight.

Comparison between the AHP and Fuzzy AHP Results
The AHP and fuzzy AHP methods were used to analyze the relative importance of the indicators in the proposed multicriteria inventory classification to make stream ecosystems more resilient. On comparing the outcomes of the two weighting analysis methods for the first tier, the ranks were not significantly different, except for those of the meteorological disasters, biological factors, and infrastructure. The ranks of hydraulic characteristics of streams, land use/geographic characteristics, meteorological phenomena, and experience/damage restoration changed using the fuzzy AHP. Economy/system had the lowest weight; consequently, the ranking of water quality, population, and topography rose by one step. Considering the weights, those of the top ranking indicators using the AHP (meteorological disasters, land use/geographic characteristics, hydraulic characteristics of streams and experience/damage restoration), were slightly lower than in the fuzzy AHP, whereas those of the other divisions were higher. The ranks of indicators in the second tier using the AHP and fuzzy AHP were the same, except for those of meteorological phenomena and infrastructure. Using the fuzzy AHP, typhoons under meteorological phenomena ranked higher than precipitation, while evacuation under infrastructure ranked higher than industrial facilities. Overall, all the rankings were different, except for those of aquatic ecology, heat waves, water supply facilities, and precipitation.
Using the AHP and fuzzy AHP, the weights and ranks of indicators slightly varied, but the indicator groups with high and low weights remained the same. In the first tier, the groups that demonstrated high weights included meteorological disasters, land use/geographic characteristics, hydraulic characteristics of streams, experience/damage restoration, meteorological phenomena, biological factors, and infrastructure, while the groups that demonstrated low weights included water quality and population, followed by topography. In addition, in the overall result, the groups demonstrating high weights included aquatic ecology, potentially vulnerable areas, population, topography, and heat waves, while the group demonstrating low weights included typhoons, precipitation, road/industry, extent of damage, droughts, groundwater, evacuation, and industrial facilities.

Discussion
To improve the resilience of stream ecosystems, a multicriteria inventory classification was proposed considering green infrastructure, and weights and ranks of indicators were derived using the AHP and fuzzy AHP. The differences in the outcomes through the AHP and fuzzy AHP could have arisen because of the variations in the analysis of the decisions of respondents. The AHP expressed the opinions of respondents as single numbers, which significantly affected the overall result, whereas fuzzy AHP displayed the opinions of respondents as triangular fuzzy numbers, taking into account the ambiguity of languages and uncertainties arising through human judgment [28,31,78]. Although the ranks and weights of indicators using the AHP and fuzzy AHP varied due to the above reasons, the high-weighted and low-weighted indicator groups remained the same for the first tier and the final overall result. Considering the same group, it is possible to know the indicators that could be first considered when planning green infrastructure to enhance the resilience of stream ecosystems in response to climate change.
Meteorological disasters, hydraulic characteristics of streams, land use/geographic characteristics, meteorological phenomena, and experience/damage restoration showed high weights in both the AHP and fuzzy AHP results for the first tier. In particular, meteorological disasters ranked first in both the methods. Meteorological disasters appear to have been attributed higher weights than other evaluation indicators in previous studies that developed climate change vulnerability assessments; they are indicators that expose social-ecological systems to disturbances, suggesting that they greatly influence the resilience of stream ecosystems [2,19,21,65,84]. The high ranking of land use/geographic characteristics could be attributed to the fact that land use affects stream ecologies and water quality [15], while the geographic characteristics of potentially vulnerable areas directly affects the scale of damage due to disasters [85]; moreover, high weights were attributed to these factors in previous studies [22,84]. Extreme meteorological phenomena cause fluctuations in the hydraulic characteristics of streams [86], in turn causing secondary damage, such as affecting the ecological function of streams [87]. A high weight seems to have been attributed to the hydraulic characteristics of streams because of the effect of basin management and maintenance plans of streams [88]. Considering the division for experience/damage restoration, it was found that the factors related to restoration could be considered important because the weight of the relevant division was high, as an indicator added in regard to resilience, unlike in previous studies. Other divisions (infrastructure, water quality, population, and economy/system) that were relatively low-weighted were indirectly influenced by the high-weighted ones; prior studies demonstrated that the evaluation indicators belonging to these divisions were attributed low weights [19,21,84,89].
Considering global weights, aquatic ecology, potentially vulnerable areas, population, and topography ranked high; aquatic ecology ranked the highest in both the AHP and fuzzy AHP results. The aquatic ecology subdivision includes the evaluation indicators of aquatic health index and lateral/vertical continuity of streams. The aquatic health index has been investigated and evaluated by the Ministry of Environment, considering the trophic diatom index (TDI), benthic macroinvertebrates (BMI), fish assessment index (FAI), habitat and riparian index (HRI), radar vegetation index (RVI), and water quality in streams across Korea for over 10 years. These aquatic health indices continue to be important as they help identify the changing trends in aquatic ecosystems [68]. The lateral/vertical continuity of streams contributes to the movement of energy and materials in a linear stream ecosystem; it is an important factor for the long-term survival of fish and other aquatic life by connecting various habitats [90]. Therefore, it is considered that the aquatic health index and lateral/vertical continuity of a stream indicates the biological and structural characteristics of the stream ecosystem, respectively, which are considered to have high weights.
Population and topography showed the lowest ranking in the first tier; however, they ranked high as global weights. This is because the global weight was calculated with the weight of the second tier set to one, as there was no comparable subdivision for either population or topography in the pairwise comparison of the second tier due to the limitation of the hierarchical structure for the pairwise comparisons. Therefore, in future studies, when planning green infrastructure for resilient stream ecosystems by selecting an actual study site, it is necessary to verify the effects of the weight of the selected evaluation indicators on the overall results and to continue supplementing the weights with the actual applied results.

Conclusions
In this study, a multicriteria inventory classification was established to help plan green infrastructure for resilient stream ecosystems to cope with extreme weather phenomena caused by climate change. First, based on the evaluation indicator classification criteria, the evaluation indicators of previous studies that helped conduct assessments of vulnerability toward climate change and the indices that affect stream ecosystems were classified. The classified evaluation indicators were confirmed through reliability and validity tests. Finally, the multicriteria inventory classification was presented considering the physio-environmental and socio-economic sectors. In addition, based on this suggested classification, a survey was conducted with experts to derive the weights and ranks of the various indicators. By analyzing the weights and ranks of the indicators considered in the multicriteria inventory classification, the indicators that could be first considered when planning green infrastructure of a stream ecosystem were grouped.
The comparison between the weights and ranks of the indicators derived using the AHP and fuzzy AHP showed slight variations in their weights and rankings in the first tier. Meteorological disasters, land use/geographic characteristics, hydraulic characteristics of streams, experience/damage restoration, meteorological phenomena, biological factors, and infrastructure received high weights, while water quality, population, economy/system, and topography received relatively low weights. There was also a difference in the indicator weights in the second tier, but their ranks were the same except for those of typhoons and precipitation under the weather phenomena and for evacuation and industrial facilities under infrastructure. In the final overall result, aquatic ecology, population, topography, potentially vulnerable areas, and heat waves received high weights, while typhoons, precipitation, road/industry, extent of damage, droughts, groundwater, evacuation, and industrial facilities received low weights. Although the weights and ranks of indicators varied using the AHP and fuzzy AHP, indicator groups with high and low weights were the same; it was also possible to identify indicators of the social-ecological system that could be mainly considered when planning green infrastructure for resilient stream ecosystems.
By helping derive weights and ranks of indicators, the study could be valuable in suggesting data that could be referred to when establishing countermeasures and distributing budgets for ensuring the resilience of stream ecosystems against climate change. Moreover, unlike existing studies which deal with vulnerability assessments and resilience in the face of extreme weather phenomena, this study benefits from the distinction of combining vulnerability assessment and green infrastructure planning so as to improve the resilience of stream ecosystems. However, a limitation exists in determining the weights and ranks of indicators in the presented multicriteria inventory classification. This is because the weights of indicators in the first tier were used as they were for the indicators having only one subdivision in the second tier, when global weights were assigned; consequently, in the final overall result, the subdivisions that ranked lower then ranked high. Therefore, it is necessary to help clarify the weights and ranks of indicators considered in this classification through additional research on weights. In future research, based on the multicriteria inventory classification suggested here, it is necessary to evaluate the resilience of an actual stream ecosystem and to select regions with weak resilience to help analyze spatiotemporal changes in a stream ecosystem due to extreme weather phenomena. In addition, if the selected vulnerable area is categorized and a response strategy for each category is established through a relationship analysis between the factors of the multicriteria inventory classification, and if a practical method to improve resilience is established by comprehensively analyzing the response strategies for each basin, scale unit, and meteorological phenomena, the resilience of stream ecosystems could be further improved.   Table A1. Multicriteria inventory classification of evaluation indicators considering the physio-environmental sector and the outcome of the factor and reliability analyses.  Ratio of wetland area to the total area 0.769 0.707 [68] Ratio of bare land area to the total area 0.901 0.820 [68] Ratio of area under water to the total area 0.601 0.459 [25,68] Potentially vulnerable areas Ratio of occupancy area of the stream site to the total area 0.532 0.603 [13,21,72,103] Ratio of area below the hundred-year flood-level to the total area 0.690 0.724 [84] Lowland area under 10 m 0.715 0.697 [21,93,99] Distance to the stream and residential areas 0.910 0.881 [64,100,104] Proximity to the inundated area 0.891 0.795 [83] Percentage of inundated area 0.758 0.616 [58,65,67,100,105] Economy/System Economy