On Soluble Intuitionistic Fuzzy Group and its Properties
Abstract
This article introduces the concept of soluble (or solvable) intuitionistic fuzzy groups as a novel intuitionistic fuzzy algebraic structure. Certain fundamental results concerning intuitionistic fuzzy normal subgroups and quotient intuitionistic fuzzy groups are established. Furthermore, a solvable series for an intuitionistic fuzzy group is constructed and illustrated through a detailed example. It is demonstrated that the family of intuitionistic fuzzy subgroups of a given intuitionistic fuzzy group shares the same support as the group itself. Finally, a biconditional relationship between a solvable intuitionistic fuzzy group and its support is proved.
Fields of Study & Subjects
Fuzzy and Soft Set Theory
Advanced Algebra and Logic
Fuzzy Systems and Optimization
Publication details
- Journal / source
- European Journal of Pure and Applied Mathematics
- Volume
- 19
- Issue
- 1
- Pages
- 7164–7164
- Publication date
- 16 February 2026
- Language
- EN