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

Huchang Liao,Hamido Fujita,Zeshui Xu,Guangsen Si

doi:10.3390/ijerph15040664

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.

Highlights

IntroductionA range of decision methods were proposed within different contexts [1,2,3,4]
To address emergency events, a range of decision methods were proposed within different contexts [1,2,3,4]
The decision results obtained by using the hesitant fuzzy linguistic term set (HFLTS) do not conform to the DMs’ cognition. To address this issue, according to the proposed linguistic scale function shown as Equation (5), we propose the hesitant fuzzy linguistic preference utility set (HFLPUS) to flexibly represent the semantics of linguistic terms in the HFLTS

Summary

Introduction

A range of decision methods were proposed within different contexts [1,2,3,4]. The methods in the above literature made some contributions to address emergency events, few studies considered the decision-makers’ (DMs’) risk preference attitudes in the decision process. Rodríguez et al [5] proposed the concept of hesitant fuzzy linguistic term set (HFLTS), which provides a flexible tool for the DMs to elicit uncertain information. With the mathematical definition of HFLTS given by Liao et al [6], a lot of multiple attribute decision making (MADM) methods have been proposed under hesitant fuzzy linguistic environment [7,8,9]

Methods

Results

Conclusion