Multiple-Attribute Decision Making Based on the Probabilistic Dominance Relationship with Fuzzy Algebras

Author:

Baklouti Amir1ORCID

Affiliation:

1. Departmentof Mathematical Sciences, College of Applied Sciences, Umm Al-Qura University, Mecca 21955, Saudi Arabia

Abstract

In multiple-attribute decision-making (MADM) problems, ranking the alternatives is an important step for making the best decision. Intuitionistic fuzzy numbers (IFNs) are a powerful tool for expressing uncertainty and vagueness in MADM problems. However, existing ranking methods for IFNs do not consider the probabilistic dominance relationship between alternatives, which can lead to inconsistent and inaccurate rankings. In this paper, we propose a new ranking method for IFNs based on the probabilistic dominance relationship and fuzzy algebras. The proposed method is able to handle incomplete and uncertain information and can generate consistent and accurate rankings.

Funder

Deanship of Scientific Research at Umm Al-Qura University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

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