Intuitionistic fuzzy multi-polygroups

In recent years, intuitionistic fuzzy multisets and polygroup have become a subject of great interest for researchers and have been widely applied to algebraic structures. In this paper, we introduce the concept of intuitionistic fuzzy multi-polygroups with the aid of algebraic structure of multi-po...

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Bibliographic Details
Published in:Computational & applied mathematics 2022-02, Vol.41 (1), Article 12
Main Authors: Onar, Serkan, Ersoy, Bayram Ali, Davvaz, Bijan, Hila, Kostaq
Format: Article
Language:English
Subjects:
Algebra
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Fuzzy set theory
Fuzzy sets
Homomorphisms
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Quotients
Set theory
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Summary:In recent years, intuitionistic fuzzy multisets and polygroup have become a subject of great interest for researchers and have been widely applied to algebraic structures. In this paper, we introduce the concept of intuitionistic fuzzy multi-polygroups with the aid of algebraic structure of multi-polygroup in terms of intuitionistic fuzzy set theory. This new concept of polygroup as a connection between intuitionistic fuzzy multiset theory, set theory and polygroup theory displays the impact of intuitionistic fuzzy multisets on a polygroup structure. Operations on intuitionistic fuzzy multi-polygroups are introduced and several illustrative examples of them are provided. In addition to this, we investigate intuitionistic fuzzy normal multi-subpolygroups and some characterizations and algebraic properties of them are obtained. Moreover, homomorphisms of intuitionistic fuzzy multi-polygroups and some of their structural characteristics are discussed. Finally, we examine intuitionistic fuzzy quotient multi-polygroups.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-021-01717-x