The adjustable approaches to multi-criteria group decision making based on inverse fuzzy soft matrices

Abstract

In this paper, we focus on the matrices representing the inverse fuzzy soft sets over both the universal object set and the universal parameter set. Some basic operations and properties of these inverse fuzzy soft matrices are investigated. Moreover, two adjustable approaches to multi-criteria group decision making (MCGDM), namely inverse fuzzy soft sum-product decision making (IFSSPDM) and inverse fuzzy soft distributive If-difference decision making (IFSDIf-dDM), are proposed. The IFSSPDM approach achieves the optimal choice for the MCGDM problem based on the inverse fuzzy soft structures consisting of multiple-discrete parameter sets and common universal object sets. The objective of IFSDIf-dDM approach is to present a solution for the MCGDM problem based on the inverse fuzzy soft structures consisting of a common universal parameter set and two discrete universal object sets. Thus, the solutions can be obtained using the practicality of inverse fuzzy soft matrices for two different types of decision making problems. Besides, the comparisons are presented showing that the proposed approaches produce more convincing outputs than the current fuzzy soft approaches.

Pessimistic Multigranulation Roughness of a Fuzzy Set Based on Soft Binary Relations over Dual Universes and Its Application

“…Petchimuthu et al [11] discussed the mean operators and generalized products of fuzzy soft matrices and their applications in MCGDM. They also discussed the adjustable approaches to multi-criteria group decision making based on inverse fuzzy soft matrices in [12].…”

Linguistic single‐valued neutrosophic soft sets with applications in game theory

“…This flexibility provides many advantages in practice. In recent years, many researchers studied the some theoretical aspects of soft sets 46‐48 and the soft matrix representations 49‐52 . Furthermore, many interesting applications of soft set theory were expanded by embedding the ideas of uncertainty‐based sets 53‐56 .…”

“…In recent years, many researchers studied the some theoretical aspects of soft sets [46][47][48] and the soft matrix representations. [49][50][51][52] Furthermore, many interesting applications of soft set theory were expanded by embedding the ideas of uncertainty-based sets. [53][54][55][56] Karaaslan 57 and Maji 58 argued that the fusion of neutrosophic logic into the soft set provides a clearer and intuitive way to explain various issues under uncertain information, and therefore they focused on the idea of (single-valued) neutrosophic soft set.…”

Calculating Fuzzy Inverse Matrix Using Linear Programming Problem: An Improved Approach

“…In addition, an algorithm was proposed to calculate the fuzzy inverse matrix. Petchimuthu & Kamacı (Petchimuthu & Kamacı, 2020) investigated some of the basic operations and properties of the inverse fuzzy soft matrices . Meenakshi (Meenakshi, 2019) studied fuzzy matrices, and assigned a chapter of her book to inverting fuzzy matrices.…”