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

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.

Keywords

• Fuzzy sets
• picture fuzzy sets
• picture fuzzy topology
• picture fuzzy PEM
• group decision-making.

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