Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1007/s40314-021-01717-x | COMPUTATIONAL & APPLIED MATHEMATICS |
Keywords | DocType | Volume |
Multisets, Polygroups, Intuitionistic fuzzy multisets | Journal | 41 |
Issue | ISSN | Citations |
1 | 2238-3603 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Serkan Onar | 1 | 0 | 0.34 |
| Bayram Ali Ersoy | 2 | 0 | 0.34 |
| Bijan Davvaz | 3 | 0 | 4.06 |
| Kostaq Hila | 4 | 0 | 0.34 |