The concept of a linguistic variable and its application to approximate reasoning—II

The nonrestricted nonfuzzy variable u constitutes the base variable for X and R(X;u) is a fuzzy subset of U which represents a fuzzy restriction on the values of u imposed by X.

Abstract

The core objective of this article is to portray a novel multi-criteria group decision-making (MCGDM) approach that combines the salient features of the 2-tuple linguistic m-polar fuzzy sets (2TLmFSs) with the theoretical background and accuracy of the well-known ELimination and Choice Translating REality (ELECTRE) II approach. The resulting 2TLmF-ELECTRE II technique outlines the framework and explains how to construct the ELECTRE II model for problems having 2TLmF uncertainties. Initially, for constructing ELECTRE-II methodology in the 2TLmF context, the basic steps are designed to evaluate the pairwise comparison of alternatives utilizing the fundamental concepts of concordance, indifferent, and discordance sets and matrices, respectively. After that, the 2TLmF strong and weak outranking relationships are investigated by comparing the 2TLmF-concordance and 2TLmF-discordance indices with the threshold values (three concordance and two discordance levels) provided by the decision experts. Finally, a complete ranking set is obtained using an iterative procedure on strong and weak outranking graphs. A comprehensive flowchart is supplied to elaborate the brief and clear vision for the mathematical procedure of the intended work. Moreover, we utilized the proposed methodology for selecting adequate sports utility vehicles (SUVs) to confirm the applicability and feasibility of the novel approach. Ultimately, the final outcomes are briefly compared with the existing 2TLmF ELECTRE-I approach to ensure the authenticity and reliability of the proposed work.