Multi Vague Homomorphism
Year: 2025
Type: article
Abstract: This paper introduces the concept of Multi vague homomorphism between Multi vague groups, where each element is characterized by a k- dimensional vector of truth and falsity membership values. The study extends classical group homomorphisms to settings with layered uncertainty by incorporating Multi dimensional vagueness. We establish key structural properties of Multi vague homomorphism and examine their behaviour on Multi vague normal groups. Further, the notion of Multi vague order of an element under such homomorphisms is defined and investigated. Several results are proved that demonstrate how these mappings preserve algebraic and membership structure. The findings generalize existing fuzzy and vague group theories and offer a more expressive framework for modeling algebraic systems under multiple levels of uncertainty
Author: Aruna Kumari.Sadasivuni, N.Ramakrishna, B.Nageswara Rao
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7083575604
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