Work

Picture Fuzzy Topological Spaces with Picture Fuzzy Prevalence Effect Method for Group Decision-Making

Year: 2025

Type: article

Abstract: The concept of picture fuzzy sets (pf-sets) expands intuitionistic fuzzy sets to model uncertain information, mainly when handling the feedbacks ``Yes'', ``No'', and ``Abstain''. Recently, the definitions of pf-sets and their elemental operations have been revised to address some inconsistencies in Cuong’s original definitions. Building on these two studies, our first objective is to redefine the concept of picture fuzzy topology and investigate its properties, such as limit points and compactness. We then propose a group decision-making technique called the Picture Fuzzy Prevalence Effect Method (PFPEM) that leverages the properties of picture fuzzy topological spaces. Finally, we discuss the need for further research in this area.

Source: Turkish Journal of Mathematics and Computer Science

DOI: 10.47000/tjmcs.1615488

Authors: Khalid Naeem, Samet Memiş, Sumbul Azeem

Institutions: Bandırma Onyedi Eylül University, Lahore College for Women University

Language: English

Topic: Fuzzy and Soft Set Theory

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

Funder: Australian Government

OpenAlex ID: W4411765867

FWCI:

Cites: 36

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Related to: 10