Priority of a Hesitant Fuzzy Linguistic Preference Relation with a Normal Distribution in Meteorological Disaster Risk Assessment
Abstract
:1. Introduction
2. Preliminaries
2.1. Definitions of FPR, IFPR, and Their Weight-Deriving Methods
2.2. HFLPR and Its Weight-Deriving Method
2.2.1. Linguistic Term Sets
2.2.2. The Representation Value of a 2-Tuple Linguistic
2.2.3. The Transformation Relation between Fuzzy Numbers and a 2-Tuple Linguistic
2.3. HFLPR and Its Envelope
2.4. Relationship between an HFLPR and an IFPR
3. IFPR with Distribution Characteristics
3.1. Relationship between Interval Distribution and Normal Distribution
3.2. IFPR with Normal Distribution
3.3. Ranking Model of an IFPR with a Normal Distribution
3.3.1. Chance-Restricted Ranking Model of an IFPR
3.3.2. Chance-Restricted Ranking Model Based on Goal Programming for an IFPR
4. Procedure of Ranking Model for an HFLPR with a Normal Distribution
5. Examples and Applications
6. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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/ | 0.9973 | 0.9015 | 0.8023 | 0.7017 | 0.6026 |
0.0823 | 0.0830 | 0.0829 | 0.0831 | 0.0832 | |
0.5823 | 0.5830 | 0.5829 | 0.5831 | 0.5832 | |
0.0427 | 0.0420 | 0.0421 | 0.0419 | 0.0418 | |
0.2927 | 0.2920 | 0.2921 | 0.2919 | 0.2918 | |
1.3292 | 1.0188 | 0.9270 | 0.8604 | 0.8040 |
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Wang, L.; Gong, Z. Priority of a Hesitant Fuzzy Linguistic Preference Relation with a Normal Distribution in Meteorological Disaster Risk Assessment. Int. J. Environ. Res. Public Health 2017, 14, 1203. https://doi.org/10.3390/ijerph14101203
Wang L, Gong Z. Priority of a Hesitant Fuzzy Linguistic Preference Relation with a Normal Distribution in Meteorological Disaster Risk Assessment. International Journal of Environmental Research and Public Health. 2017; 14(10):1203. https://doi.org/10.3390/ijerph14101203
Chicago/Turabian StyleWang, Lihong, and Zaiwu Gong. 2017. "Priority of a Hesitant Fuzzy Linguistic Preference Relation with a Normal Distribution in Meteorological Disaster Risk Assessment" International Journal of Environmental Research and Public Health 14, no. 10: 1203. https://doi.org/10.3390/ijerph14101203