Multiplicative consistency analysis of linguistic preference relation with self‐confidence level and self‐doubting level and its application in a group decision making. Issue 10 (24th June 2021)

• Record Type: Journal Article
• Authors: Mandal, Prasenjit; Samanta, Sovan; Pal, Madhumangal
• Is Part Of: International journal of intelligent systems. Volume 36:Issue 10(2021)
• Page Start: 5389
• Page End: 5418
• Publication Date: 2021-06-24
• Subjects: experts' behavior -- group decision making -- linguistic preference relation -- multiplicative consistent; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.22516
• Languages: English
• ISSNs: 0884-8173

Abstract

Abstract: This article focuses on a group decision‐making (GDM) approach based on the multiplicative consistency of linguistic preference relation (LPR) with experts' self‐confidence and self‐doubting (SC&SD) levels. To give their preferences, the experts use their knowledge of the experience according to their degree of SC&SD levels. First, we propose the concepts of multiplicative consistent LPR‐SC&SD using the experts' general minimum self‐confidence level and the maximum self‐doubting level. We suggest then a consensus‐building iterative process, that is, a consensus reaching process (CRP) algorithm to achieve multiplicative consistency of LPR‐SC&SD according to identification and adjustment rules. A theorem is given for convergence of the CRP algorithm. In a GDM problem, social network analysis is studied for the experts to obtain their weight according to the degree of SC&SD. When we achieve the acceptable preferences of all the experts using the CRP algorithm of the multiplicative consistent LPR‐SC&SD, then we aggregate all the preferences by the experts' weights. The aggregation of all preferences is also an LPR‐SC&SD, known as the weight collective LPR‐SC&SD. Finally, a case‐by‐case example and several comparative analyses are done with the current GDM processes to demonstrate the viability and applicability of the proposed GDM system.