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Intuitionistic fuzzy multi-polygroups

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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.

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Author notes

  1. Serkan Onar, Bayram Ali Ersoy, Bijan Davvaz and Kostaq Hila contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematical Engineering, Yildiz Technical University, Davutpaşa-Istanbul, Turkey

    Serkan Onar & Bayram Ali Ersoy

  2. Department of Mathematics, Yazd University, Yazd, Iran

    Bijan Davvaz

  3. Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana, Albania

    Kostaq Hila

Authors
  1. Serkan Onar
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  2. Bayram Ali Ersoy
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  3. Bijan Davvaz
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  4. Kostaq Hila
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Communicated by Marcos Eduardo Valle.

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Onar, S., Ersoy, B.A., Davvaz, B. et al. Intuitionistic fuzzy multi-polygroups. Comp. Appl. Math. 41, 12 (2022). https://doi.org/10.1007/s40314-021-01717-x

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  • DOI: https://doi.org/10.1007/s40314-021-01717-x

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