Hesitant Fuzzy Linguistic Preference Utility Set and Its Application in Selection of Fire Rescue Plans

Abstract

Hesitant fuzzy linguistic term set provides an effective tool to represent uncertain decision information. However, the semantics corresponding to the linguistic terms in it cannot accurately reflect the decision-makers’ subjective cognition. In general, different decision-makers’ sensitivities towards the semantics are different. Such sensitivities can be represented by the cumulative prospect theory value function. Inspired by this, we propose a linguistic scale function to transform the semantics corresponding to linguistic terms into the linguistic preference values. Furthermore, we propose the hesitant fuzzy linguistic preference utility set, based on which, the decision-makers can flexibly express their distinct semantics and obtain the decision results that are consistent with their cognition. For calculations and comparisons over the hesitant fuzzy linguistic preference utility sets, we introduce some distance measures and comparison laws. Afterwards, to apply the hesitant fuzzy linguistic preference utility sets in emergency management, we develop a method to obtain objective weights of attributes and then propose a hesitant fuzzy linguistic preference utility-TOPSIS method to select the best fire rescue plan. Finally, the validity of the proposed method is verified by some comparisons of the method with other two representative methods including the hesitant fuzzy linguistic-TOPSIS method and the hesitant fuzzy linguistic-VIKOR method.

Application of the Fuzzy CODAS Method Based on Fuzzy Envelopes for Hesitant Fuzzy Linguistic Term Sets: A Case Study on a Personnel Selection Problem

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Special Issue “Decision Models in Green Growth and Sustainable Development”

“…Using decision-making method, Chen et al [ 56 ] investigated that cap-and-trade and take-back regulations have a positive impact on environment. Liao et al [ 57 ] combined hesitant fuzzy linguistic preference relations with utility functions, and put forward effective GDM models for emergency management. For the dynamic uncertain system of urban water demand, Li et al [ 58 ] explored a robust economic control decision method with a variety of variables.…”

Edas Method for Multiple Criteria Group Decision Making With Picture Fuzzy Information and Its Application to Green Suppliers Selections

“…In previous work, lots of MCDM models such as the VIKOR method (H. C. Liu, L. Liu, & Wu, 2013;Yang, Pang, Shi, & Wang, 2018;Zhou, Wang, & Zhang, 2018), the ELECTRE method (N. Chen & Xu, 2015; J. J. Peng, Wang, & Wu, 2017;Zhang, Wang, & Chen, 2016), the TOPSIS method (Liao, Si, Xu, & Fujita, 2018;Wan, Li, & Dong, 2018;Zeng & Xiao, 2018), the PROMETHEE method (S. Hajlaoui & N. Halouani, 2013;Liao & Xu, 2014;Muirhead, 1902;Sennaroglu, Yilmazer, Tuzkaya, & Tuzkaya, 2018;Y. N. Wu, Wang, Hu, Ke, & Li, 2018), the GRA method, the MULTIMOORA method (Aydin, 2018;Liu, You, Lu, & Shan, 2014;Zhao, You, & Liu, 2017) and the TODIM method (Huang & Wei, 2018;Ji, Zhang, & Wang, 2018;Qin, Liang, Li, Chen, & Yu, 2017;Ren, Xu, Wang, & Ieee, 2017;G.…”