Hesitant Fuzzy Worth: An innovative ranking methodology for hesitant fuzzy subsets

Abstract

We introduce a novel methodology for ranking hesitant fuzzy sets. It builds on a recent, theoretically sound contribution in Social Choice. In order to justify the applicability of such analysis, we develop two real implementations: (i) new metarankings of world academic institutions that build on real data from three reputed agencies, and (ii) a new procedure for improving teaching performance assessments which we illustrate with real data collected by ourselves. These applications provide new grounds for the theoretical model by hesitant fuzzy sets.

Fuzzy soft set based decision making: a novel alternative approach

“…For example, in combination with scores it can be used to provide a ranking of hesitant fuzzy sets over finite sets, which permits useful applications like prioritizing projects. A first attempt with an application to metarankings of world universities appears in Alcantud et al [24].…”

A Modification on the Hesitant Fuzzy Set Lexicographical Ranking Method

“…It permits the membership degree of an element to a set to be several possible values between 0 and 1 [3]. Since its appearance, it has attracted a lot of research attention, and a large amount of literature has been published on hesitant fuzzy set theory and applications [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Up to now, some researchers have proposed the HFE ranking methods [3,5,7,[20][21][22][23].…”

A segment-based approach to the analysis of project evaluation problems by hesitant fuzzy sets

“…Within the extended field of Hesitant Fuzzy Sets, which allows for cases with several degrees of membership, there are many application papers that contribute to Multicriteria Decision Making Theory 1,22,44,48,52,51,54 . Multiexpert multicriteria decision making under this requirement has been explored by Xia et al 45 .…”