Improved generalized dissimilarity measure‐based VIKOR method for Pythagorean fuzzy sets. Issue 3 (23rd November 2021)

• Record Type: Journal Article
• Authors: Khan, Muhammad Jabir; Ali, Muhammad Irfan; Kumam, Poom; Kumam, Wiyada; Aslam, Muhammad; Alcantud, Jose Carlos R.
• Is Part Of: International journal of intelligent systems. Volume 37:Issue 3(2022)
• Page Start: 1807
• Page End: 1845
• Publication Date: 2021-11-23
• Subjects: dissimilarity measure -- multi‐criteria decision‐making -- Pythagorean fuzzy set -- VIKOR method; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.22757
• Languages: English
• ISSNs: 0884-8173

Abstract

Abstract: The compromise solution of the multi‐criteria decision‐making (MCDM) problem by the existing VIKOR method for Pythagorean fuzzy sets (PyFSs) is not closest to the positive ideal solution. This is because the defining function for VIKOR does not obey the axioms for a dissimilarity measure. Thus in this context, the existing notion of dissimilarity measures and the VIKOR method are controversial. This study aims to provide a new dissimilarity measure and refine the VIKOR method for PyFSs accordingly. We define a new dissimilarity measure for PyFSs and refine the existing VIKOR method. We discuss the additional properties of dissimilarity measures and improve the ideas of remoteness and ranking indexes. We provide numerical examples to support the analysis and findings of our study. Finally, we solve the MCDM problems to illustrate the proposed method.