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Keywords = improved Interval Analytic Hierarchy Process (IAHP)

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39 pages, 28776 KB  
Article
An Assessment Method for Ability Increment of Scientific Researchers Based on Interval Evaluation and Cloud Model Theory
by Hong Yang, Si Chen, Zhengrong Wu and Wenzhe Ding
Mathematics 2026, 14(5), 823; https://doi.org/10.3390/math14050823 - 28 Feb 2026
Viewed by 456
Abstract
The evaluation of the ability increment of scientific researchers is the most direct method to test the effect of scientific research training. Considering the variety and high professionalism of scientific research positions, and in order to reduce the difficulty of expert evaluation and [...] Read more.
The evaluation of the ability increment of scientific researchers is the most direct method to test the effect of scientific research training. Considering the variety and high professionalism of scientific research positions, and in order to reduce the difficulty of expert evaluation and improve the operability and reliability of the evaluation methods, this paper presents an evaluation method that combines interval evaluation and cloud model theory based on the characteristics of ability increment in scientific researchers. Firstly, the interval weights of each evaluation index are determined based on the interval analytic hierarchy process (IAHP) method without depending on evaluation data. Secondly, the interval weights are converted into value weights based on the constant deviation ratio criterion to avoid cross-hierarchical uncertainty in the evaluation results due to the direct involvement of interval weights in subsequent evaluation. To reversely convert the interval evaluation results of indexes into a cloud model, the probability density function applicable to the interval indexes is analyzed, and the conversion formula from interval-valued evaluation indexes to a cloud model is directly provided based on probability theory. On this basis, this paper describes in detail the method for reversely analyzing the effectiveness of index evaluation based on the characteristics of the cloud model, thus achieving an effective combination of interval evaluation and the cloud model. Finally, effective evaluation of ability increment indexes of scientific researchers at all levels is accomplished by adopting a comprehensive cloud model and a gray cloud clustering method. The effectiveness of the proposed method in this paper is validated through simulation examples. Full article
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19 pages, 3993 KB  
Article
Coordinated Planning Method for Distribution Network Lines Considering Geographical Constraints and Load Distribution
by Linhuan Luo, Qilin Zhou, Wei Pan, Zhian He, Minghao Liu, Longfa Yang and Xiangang Peng
Processes 2026, 14(1), 47; https://doi.org/10.3390/pr14010047 - 22 Dec 2025
Viewed by 705
Abstract
This paper proposes a coordinated planning method for distribution network lines considering geographical constraints and load distribution, aiming to improve the economy and engineering feasibility of distribution network planning. First, a hierarchical system of geographical constraints based on the Interval Analytic Hierarchy Process [...] Read more.
This paper proposes a coordinated planning method for distribution network lines considering geographical constraints and load distribution, aiming to improve the economy and engineering feasibility of distribution network planning. First, a hierarchical system of geographical constraints based on the Interval Analytic Hierarchy Process (IAHP) is established to systematically quantify the influence weights of spatial factors such as terrain undulation, ecological protection zones, and construction obstacles. Second, the density peak clustering algorithm and load complementarity coefficient are introduced to generate equivalent load nodes, and a spatially continuous load density grid model is constructed to accurately characterize the distribution and complementary characteristics of the load. Third, an improved A-star algorithm is adopted, which integrates a heuristic function guided by geographical weights and load density to dynamically avoid high-cost areas and approach high-load areas. Additionally, Bézier curves are used to optimize the path, reducing crossings and obstacle interference, thus enhancing the implementability of line layout. Verification via a real distribution network case study in a certain area of Guangdong Province shows that the proposed method outperforms traditional planning strategies. It significantly improves the economy, safety, and engineering feasibility of the path, providing effective decision support for distribution network line planning in complex environments. Full article
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26 pages, 7481 KB  
Article
A Comprehensive Evaluation of Resilience in Abandoned Open-Pit Mine Slopes Based on a Two-Dimensional Cloud Model with Combination Weighting
by Liangxing Jin, Pingting Liu, Wenbing Yao and Junjie Wei
Mathematics 2024, 12(8), 1213; https://doi.org/10.3390/math12081213 - 17 Apr 2024
Cited by 9 | Viewed by 2565
Abstract
The stability of abandoned open-pit mine slopes and their ecological environment are threatened owing to their fragile, complicated, and uncertain characteristics. This study establishes a novel evaluation indicator system for enhancing mine design and environmental protection insight. The weights in the system are [...] Read more.
The stability of abandoned open-pit mine slopes and their ecological environment are threatened owing to their fragile, complicated, and uncertain characteristics. This study establishes a novel evaluation indicator system for enhancing mine design and environmental protection insight. The weights in the system are assigned using a combined method, which consists of the game theory, the interval analytic hierarchy process (IAHP), and the entropy weight method (EWM). The IAHP is optimized by the improved radial movement optimal (IRMO) algorithm and the simulated annealing (SA) algorithm to ensure calculation stability and efficiency. Meanwhile, a two-dimensional cloud model (TDCM) is developed to obtain the slope resilience level and visualize the result. This comprehensive evaluation method is applied to three abandoned mine slopes in the Yellow River Basin, and the results demonstrate that the method can provide crucial insights for rational mine slope stabilization and ecological restoration. Full article
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19 pages, 2811 KB  
Article
Evaluation and Application of Surrounding Rock Stability Based on an Improved Fuzzy Comprehensive Evaluation Method
by Xianhui Mao, Ankui Hu, Rui Zhao, Fei Wang and Mengkun Wu
Mathematics 2023, 11(14), 3095; https://doi.org/10.3390/math11143095 - 13 Jul 2023
Cited by 13 | Viewed by 2121
Abstract
Ensuring the stability of surrounding rock is crucial for the safety of underground engineering projects. In this study, an improved fuzzy comprehensive evaluation method is proposed to accurately predict the stability of surrounding rock. Five key factors, namely, rock quality designation, uniaxial compressive [...] Read more.
Ensuring the stability of surrounding rock is crucial for the safety of underground engineering projects. In this study, an improved fuzzy comprehensive evaluation method is proposed to accurately predict the stability of surrounding rock. Five key factors, namely, rock quality designation, uniaxial compressive strength, integrality coefficient of the rock mass, strength coefficient of the structural surface, and groundwater seepage, are selected as evaluation indicators, and a five-grade evaluation system is established. An improved analytic hierarchy process (IAHP) is proposed to enhance the accuracy of the evaluation. Using interval numbers rather than real numbers in constructing an interval judgment matrix can better account for the subjective fuzziness and uncertainty of expert judgment. Subjective and objective weights are obtained through IAHP and coefficient of variation, and the comprehensive weight is calculated on the basis of game theory principles. In addition, trapezoidal and triangular membership functions are employed to determine the membership degree, and an improved fuzzy comprehensive evaluation model is constructed. The model is then used to determine the stability of the surrounding rock based on the improved criterion. It is applied to six samples from an actual underground project in China to validate its effectiveness. Results show that the proposed model accurately and effectively predicts the stability of surrounding rock, which aligns with the findings from field investigations. The proposed method provides a valuable reference for evaluating surrounding rock stability and controlling construction risks. Full article
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24 pages, 1172 KB  
Article
An Interval AHP Technique for Classroom Teaching Quality Evaluation
by Ya Qin, Siti Rahayu Mohd. Hashim and Jumat Sulaiman
Educ. Sci. 2022, 12(11), 736; https://doi.org/10.3390/educsci12110736 - 24 Oct 2022
Cited by 10 | Viewed by 3983
Abstract
Classroom teaching evaluation is one of the most important ways to improve the teaching quality of mathematics education in higher education, and it is also a group decision making problems. Meanwhile, there is some uncertain information in the process of evaluation. In order [...] Read more.
Classroom teaching evaluation is one of the most important ways to improve the teaching quality of mathematics education in higher education, and it is also a group decision making problems. Meanwhile, there is some uncertain information in the process of evaluation. In order to deal with this uncertainty in classroom teaching quality evaluation and obtain a reliable and accurate evaluation result, an interval analytic hierarchy process (I-AHP) is employed. To begin with, the modern evaluation tool named RTOP is adapted to make it more consistent with the characteristics of the discipline. In addition, the evaluation approach is built by using the I-AHP method, and some details of weights of the criteria and assessors are developed, respectively. Thirdly, a case study has been made to verify the feasibility of the assessment approach for classroom teaching quality evaluation on mathematics. Finally, a comprehensive evaluation of classroom quality under an interval number environment is conducted, and some results analyses and comparisons are also discussed to show that the proposed approach is sound and has a stronger ability to deal with uncertainty. Full article
(This article belongs to the Special Issue Assessment and Evaluation in Higher Education—Series 2)
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15 pages, 2785 KB  
Article
A Security Risk Assessment Method Based on Improved FTA-IAHP for Train Position System
by Yang Yang, Guangwu Chen and Di Wang
Electronics 2022, 11(18), 2863; https://doi.org/10.3390/electronics11182863 - 10 Sep 2022
Cited by 14 | Viewed by 2680
Abstract
The positioning system based on satellite navigation can meet the requirements of CTCS-4 train control, improve the transportation efficiency, reduce the operation and maintenance costs, which is the trend of train positioning system in the future, and the security risk assessment is of [...] Read more.
The positioning system based on satellite navigation can meet the requirements of CTCS-4 train control, improve the transportation efficiency, reduce the operation and maintenance costs, which is the trend of train positioning system in the future, and the security risk assessment is of great significance to the future application of this system. In this paper, combined with the self-developed train positioning system based on satellite navigation, and an improved fault tree-interval analytic hierarchy process (FTA-IAHP) method for evaluating the safety risk of train positioning system is proposed. Firstly, a security risk assessment model based on FTA-IAHP is established by combining FTA and IAHP. Secondly, two judgment matrices are constructed by using the basic events and structural importance based on FTA, and the IAHP model based on expert scoring, the difference between FTA and IAHP is adjusted by combining the weighting factor. The new method of trial of weighting can determine the degree of each factor in the system fault. This method has great significance to the safety design and protection of the new train positioning system based on satellite navigation. Full article
(This article belongs to the Special Issue Recent Advances in Intelligent Transportation Systems)
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22 pages, 6492 KB  
Article
Comprehensive Evaluation for Real-Time Compaction Quality Using i-AHP and i-GAM: Case Study of Earth-Rock Dam
by Minghui Liu, Xiaoling Wang, Jiajun Wang, Bo Cui, Boqi Deng and Mengnan Shi
Appl. Sci. 2019, 9(8), 1543; https://doi.org/10.3390/app9081543 - 13 Apr 2019
Cited by 8 | Viewed by 3676
Abstract
The real-time compaction quality evaluation of earth-rock dam plays a pivotal role in ensuring dam safety. However, the current real-time compaction quality evaluation only takes the physical properties of compacted dam materials into account, which fails to characterize whether their mechanical property meets [...] Read more.
The real-time compaction quality evaluation of earth-rock dam plays a pivotal role in ensuring dam safety. However, the current real-time compaction quality evaluation only takes the physical properties of compacted dam materials into account, which fails to characterize whether their mechanical property meets the requirements of deformation and destruction, and no quantitative heterogeneity of real-time compaction quality is studied. This paper presents a comprehensive evaluation method to address these problems. First, based on on-site tests, real-time physical and mechanical indices are obtained. Next, the analytic hierarchy process, extended by the interval model (i-AHP) method, is introduced for real-time compaction quality evaluation considering both these indices, and the hybrid compaction index (HCI) is firstly proposed based on the i-AHP method. Finally, an improved geostatistical analysis method (i-GAM) is developed to quantify the real-time compaction quality heterogeneity. A case study of an earth-rock dam project in southwest China demonstrates the effectiveness and advantages of the proposed method. Full article
(This article belongs to the Section Civil Engineering)
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18 pages, 492 KB  
Article
Comprehensive Benefit Evaluation of the Power Distribution Network Planning Project Based on Improved IAHP and Multi-Level Extension Assessment Method
by Qunli Wu and Chenyang Peng
Sustainability 2016, 8(8), 796; https://doi.org/10.3390/su8080796 - 13 Aug 2016
Cited by 27 | Viewed by 5459
Abstract
Reasonable distribution network planning is an essential prerequisite of the economics and security of the future power grid. The comprehensive benefit evaluation of a distribution network planning project can make significant contributions towards guiding decisions during the planning scheme, the optimization of the [...] Read more.
Reasonable distribution network planning is an essential prerequisite of the economics and security of the future power grid. The comprehensive benefit evaluation of a distribution network planning project can make significant contributions towards guiding decisions during the planning scheme, the optimization of the distribution network structure, and the rational use of resources. In this paper, in light of the characteristics of the power distribution network, the comprehensive benefit evaluation index system is constructed considering the influencing factors of technical benefit, economic benefit, and social benefit. To eliminate the influence of subjective factors on the evaluation effects and the uncertainty of the influencing factors effectively, the improved interval analytic hierarchy process is employed to calculate the index weights more simply. Moreover, based on the traditional single-factor extension evaluation, this study proposes a multi-level extension assessment model to evaluate the comprehensive benefit of the power distribution network planning project. The model can not only identify the key factors that affect the evaluation effect of the power distribution network planning project, but also can predict the overall development trend of the project. Finally, using a specific urban distribution network planning project as an example, the findings indicate that the comprehensive benefit grade of this power distribution network planning project is “better” due to the benefit grade variable eigenvalue j * [ 3.33 , 3.418 ] [ 3 , 4 ] , and illustrates that the model is credible and practical to achieve the comprehensive benefit evaluation of the power distribution network planning project. Full article
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