On admissible total orders for typical hesitant fuzzy consensus measures. Issue 1 (13th September 2021)

• Record Type: Journal Article
• Authors: Matzenauer, Monica; Santos, Hélida; Bedregal, Benjamín; Bustince, Humberto; Reiser, Renata
• Is Part Of: International journal of intelligent systems. Volume 37:Issue 1(2022)
• Page Start: 264
• Page End: 286
• Publication Date: 2021-09-13
• Subjects: admissible orders -- consensus measures -- consistency analysis -- fuzzy preference structures -- typical hesitant fuzzy sets; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.22624
• Languages: English
• ISSNs: 0884-8173

Abstract

Abstract: In this paper, we discussconsensus measures for typical hesitant fuzzy elements (THFE), which are the finite and nonempty fuzzy membership degrees under the scope of typical hesitant fuzzy sets (THFS). In our approach, we present a model that formally constructs consensus measures by means of aggregations functions, fuzzy implication‐like functions and fuzzy negations, using admissible orders to compare the THFE, and also providing an analysis of consistency on them. Our theoretical results are applied into a problem of decision making with multicriteria illustrating our methodology to achieve consensus in a group of experts working with THFS.