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Hesitant Fuzzy Worth: An innovative ranking methodology for hesitant fuzzy subsets
Affiliation:1. BORDA Research Unit and Multidisciplinary Institute of Enterprise (IME), Universidad de Salamanca, 37007 Salamanca, Spain;2. Department of Economics and Business, Universidad de Almería, 04120 Almería, Spain;1. Department of Mathematics, Hazara University, Mansehra, Pakistan;2. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan;3. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia;1. CAS Key Laboratory of Technology in Geo-spatial Information Processing and Application Systems, University of Science and Technology of China, Hefei, China;2. USTC-Birmingham Joint Research Institute in Intelligent Computation and Its Applications (UBRI), University of Science and Technology of China, Hefei, China
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.
Keywords:Multi-attribute decision making  Hesitant fuzzy element  Hesitant fuzzy set  Ranking function  Score  Hesitant Fuzzy Worth  Metaranking of universities  Teaching performance assessments
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