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Title: Note on entropies of hesitant fuzzy linguistic term sets and their applications
Authors: Wei, Cuiping
Rodriguez, Rosa M.
Li, Peng
Abstract: Hesitant fuzzy linguistic term set (HFLTS) is very useful in depicting the situations where people are hesitant to provide their opinions or assessments. In a HFLTS, it should be con- sidered two types of uncertainty, fuzziness and hesitation. This paper is aimed to inves- tigate the problem of how apply different uncertainty facets in different decision making settings. First, a new construction method of a fuzzy entropy for HFLTSs is proposed and it is compared with other methods already introduced in the literatures. Afterwards, these entropy formulas are used to propose two algorithms for deriving the criteria weights and experts weights. Different from the existing applications, it is stressed that in the process of deriving the criteria weights, only the hesitancy of the HFLTS should be considered, while in the process of deriving the experts weights with hesitant fuzzy preference rela- tion information, both the fuzziness and hesitancy of the evaluation information should be involved.
Keywords: Group decision making
Hesitant fuzzy linguistic term set
Issue Date: Feb-2020
metadata.dc.description.sponsorship: National Natural Science Foundation of China ( 71371107 , 71702087 ) y Spanish Ministry of Economy and Competitiveness, Postdoctoral fellow Ramón y Cajal (RYC-2017-21978).
Publisher: Elsevier
Citation: C. Wei, R.M. Rodríguez, P. Li, Note on entropies of hesitant fuzzy linguistic term sets and their applications. Information Sciences, vol. 512, pp. 352-368, 2020. 10.1016/j.ins.2019.06.018
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