Properties of k-hybrid ideals in ternary semiring-Reference-Cited by-同舟云学术

Properties of k-hybrid ideals in ternary semiring

Published:2022-04-28 Issue:6 Volume:42 Page:5799-5807
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Muhiuddin G.¹,Catherine Grace John J.²,Elavarasan B.²,Porselvi K.²,Al-Kadi D.³

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia

2. Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamilnadu, India

3. Department of Mathematics and Statistic, College of Science, Taif University, Taif, Saudi Arabia

Abstract

The notions of hybrid ideals and k-hybrid ideals in a ternary semiring are introduced in this paper, and a substantial amount of effort has been made to study some of their features. In terms of characteristic function, we show some properties of k-hybrid ideals and give some characterizations of hybrid intersection with respect to these k-hybrid ideals. Finally, results based on a k-hybrid ideal’s homomorphic hybrid preimage are provided. With respect to k-hybrid ideals, we give certain characterizations of hybrid intersection.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference36 articles.

1. Intuitionistic fuzzy left k-ideals of semirings;Akram;Soft Comput,2008

2. On fuzzy rings;Dixit;Fuzzy Sets Syst,1992

3. A note on quasi k-ideals and bi-ideals in ternary semirings;Dubey;Ital. J. Pure Appl. Math.,2011

4. Fuzzy k-ideals of semirings;Dutta;Bull. Cal. Math. Soc.,1995

5. On Prime Ideals and Prime Radical of Ternary Semirings;Dutta;Bull. Cal. Math. Soc.,2005

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hybrid interior ideals in left regular AG-groupoids;Discrete Mathematics, Algorithms and Applications;2024-05-25

2. Hybrid interior ideals and hybrid bi-ideals in ternary semigroups;Journal of Intelligent & Fuzzy Systems;2023-12-02

3. On Subsystems of a Hybrid Finite State Machine;New Mathematics and Natural Computation;2023-11-09

4. Hybrid norm structures applied to hemirings;Discrete Mathematics, Algorithms and Applications;2023-10-06

5. Hybrid ordered ideals in ordered semirings;Journal of Intelligent & Fuzzy Systems;2023-07-02