Cubic intuitionistic structures of a semigroup in KU-algebra-Reference-Cited by-同舟云学术

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Cubic intuitionistic structures of a semigroup in KU-algebra

Published:2023 Issue: Volume:56 Page:63-75
ISSN:2704-4963
Container-title:Mathematica Montisnigri
language:en
Short-container-title:MathMon

Author:

Davvaz Bijan¹^ORCID,Kareem Fatema F.²^ORCID,Awad Wisam K.²^ORCID

Affiliation:

1. Department of Mathematical Sciences, Yazd University, Yazd, Iran

2. Department of Mathematics, Ibn-Al-Haitham college of Education, University of Baghdad, Iraq

Abstract

An intuitionistic fuzzy set was exhibited by Atanassov in 1986 as a generalization of the fuzzy set. So, we introduce cubic intuitionistic structures on a KU-semigroup as a generalization of the fuzzy set of a KU-semigroup. A cubic intuitionistic k-ideal and some related properties are introduced. Also, a few characterizations of a cubic intuitionistic k-ideal are discussed and new cubic intuitionistic fuzzy sets in a KU-semigroup are defined.

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Medicine

Reference14 articles.

1. L.A. Zadeh, “Fuzzy sets”, Inform and Control, 8, 338-353 (1965).

2. K. Atanassov, “Intuitionistic fuzzy sets”, Fuzzy Sets and Systems, 20(1), 87- 96 (1986).

3. Y.B. Jun, K.H. Kim and M.S. Kang, “Intuitionistic fuzzy ideals ofBCK-algebras”, Internat. J. Math. & Math. Sci., 24(12), 839-849 (2000).

4. K.H. Kim, “Intuitionistic (T,S)-normed fuzzy subalgebras of BCK-algebras”, Journal of the Chungcheong Mathematical Society, 20(3), 1-8 (2007).

5. F.F. Kareem and S.A. Talib, “Intuitionistic Fuzzy Ideals of KU-Semigroups”, Iraqi Journal of Science, Special Issue, 1-10 (2020).

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