Direct Product of Picture Fuzzy Subgroups
Taiwo O. Sangodapo
TL;DR
This paper introduces the concept of the direct product of picture fuzzy subgroups within group theory, providing characterizations using $(r, s, t)$-cut sets of picture fuzzy sets.
Contribution
It is the first to define and analyze the direct product of picture fuzzy subgroups, expanding the theoretical framework of fuzzy group theory.
Findings
Characterizations of the direct product using $(r, s, t)$-cut sets
New properties of picture fuzzy subgroups
Extension of fuzzy subgroup concepts
Abstract
In this paper, the concept of a picture fuzzy subgroup of a group is studied, and the notion of the direct product of picture fuzzy subgroups is introduced. Several characterisations of the direct product of picture fuzzy subgroups are established using the -cut sets of picture fuzzy sets.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Multi-Criteria Decision Making · Fuzzy Logic and Control Systems