Intuitionistic fuzzy group algebra
| dc.contributor.author | Poonam Kumar Sharma | |
| dc.date.accessioned | 2026-02-12T09:21:05Z | |
| dc.date.available | 2026-02-12T09:21:05Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | This paper introduces the concept of an intuitionistic fuzzy group algebra associated with a finite group G and an intuitionistic fuzzy group A on G. We establish its structural properties, showing that it simultaneously behaves as an intuitionistic fuzzy algebra and an intuitionistic fuzzy G-module. Extending author’s earlier results on the semi-simplicity of intuitionistic fuzzy G-modules, we explore links to complete reducibility and injectivity. Further, we study intersections, (α, β)-cuts, and homomorphic images of such algebras, and define intuitionistic fuzzy group algebra homomorphisms. Finally, we prove that the class of all intuitionistic fuzzy group algebras forms a category. | |
| dc.identifier.issn | 2367–8283 | |
| dc.identifier.uri | http://davjalandhar.ndl.gov.in/handle/123456789/179 | |
| dc.language.iso | en | |
| dc.title | Intuitionistic fuzzy group algebra | |
| dc.title.alternative | Notes on Intuitionistic Fuzzy Sets | |
| dc.type | Article |
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