A Scientific Decision Framework for Supplier Selection under Interval Valued Intuitionistic Fuzzy Environment

Abstract

This paper proposes a new scientific decision framework (SDF) under interval valued intuitionistic fuzzy (IVIF) environment for supplier selection (SS). The framework consists of two phases, where, in the first phase, criteria weights are estimated in a sensible manner using newly proposed IVIF based statistical variance (SV) method and, in the second phase, the suitable supplier is selected using ELECTRE (ELimination and Choice Expressing REality) ranking method under IVIF environment. This method involves three categories of outranking, namely, strong, moderate, and weak. Previous studies on ELECTRE ranking reveal that scholars have only used two categories of outranking, namely, strong and weak, in the formulation of IVIF based ELECTRE, which eventually aggravates fuzziness and vagueness in decision making process due to the potential loss of information. Motivated by this challenge, third outranking category, called moderate, is proposed, which considerably reduces the loss of information by improving checks to the concordance and discordance matrices. Thus, in this paper, IVIF-ELECTRE (IVIFE) method is presented and popular TOPSIS method is integrated with IVIFE for obtaining a linear ranking. Finally, the practicality of the proposed framework is demonstrated using SS example and the strength of proposed SDF is realized by comparing the framework with other similar methods.

An intuitionistic fuzzy entropy approach for supplier selection

“…In 2007, Vlachos and Sergiadis [30] proposed the intuitionistic fuzzy divergence measure for the first time, and studied its application pattern recognition and medical diagnosis. Krishankumar et al [22] introduced the novel approach for supplier selection using IVIF based on statistical variance (SV) and ELECTRE methods. Ye [41] introduced the fuzzy cross entropy based on interval-valued intuitionistic fuzzy sets (IVIFSs) using the intuitionistic fuzzy (IF) cross entropy.…”

“…Wei et al [33] have introduced the entropy measure for IVIFSs by incorporating three kinds of entropy measures, and, finally, proposed the new entropy measure for IVIFSs. Some researchers have used the entropy and IFSs in various application areas such as supplier and vendor selection (Shahrokhi et al [24], Wen et al [35], Gerogiannis et al [16], Xiao and Wei [37], Wang and Lv [31], Krishankumar et al [22], Song et al [25], Guo et al [17], Chai et al [6], Bali et al [3], Wen et al [35], and Xiao and Wei [37]). Shahrokhi et al [24] have proposed the integrated approach based on IFS and linear programming technique for selection of suppliers in a group decisionmaking environment.…”

“…Wang and Lv [31] have investigated induced intuitionistic fuzzy Einstein hybrid aggregation operator (I-IFEHA) for selection of supplier in environment of group decision-making based on fuzzy measures by introducing aggregation and Einstein operator I-IFEHA. Krishankumar et al [22] have introduced a novel approach for supplier selection using IVIF based on statistical variance (SV) and ELECTRE methods. Wen et al [35] have used IFS for supplier selection in environment of group decision-making.…”

Interval-Valued Intuitionistic Fuzzy Einstein Geometric Choquet Integral Operator and Its Application to Multiattribute Group Decision-Making

“…Liu et al [42] developed the IVIFOWCS operator which combines the interval-valued intuitionistic fuzzy cosine similarity measure with the generalized ordered weighted averaging operator and applied it in the investment decision-making. Krishankumar et al [43] developed a scientific decision framework with interval-valued intuitionistic fuzzy operator and applied it in supplier selection.…”