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

Huchang Liao, Guangsen Si, Zeshui Xu and Hamido Fujita
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Huchang Liao: Business School, Sichuan University, Chengdu 610064, China
Guangsen Si: Business School, Sichuan University, Chengdu 610064, China
Zeshui Xu: Business School, Sichuan University, Chengdu 610064, China
Hamido Fujita: Faculty of Software and Information Science, Iwate Prefectural University, Iwate 020-0193, Japan

IJERPH, 2018, vol. 15, issue 4, 1-18

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.

Keywords: hesitant fuzzy linguistic term set; the prospect theory; linguistic scale function; hesitant fuzzy linguistic preference utility set; hesitant fuzzy linguistic preference utility-TOPSIS method (search for similar items in EconPapers)
JEL-codes: I I1 I3 Q Q5 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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