An approach to fuzzy multi-ideals of near rings-Reference-Cited by-同舟云学术

An approach to fuzzy multi-ideals of near rings

Published:2021-12-16 Issue:6 Volume:41 Page:6233-6243
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Al Tahan Madeline¹,Hoskova-Mayerova Sarka²,Davvaz Bijan³

Affiliation:

1. Department of Mathematics, Lebanese International University, Bekaa, Lebanon

2. Department of Mathematics and Physics, University of Defence, Kounicova 65, Brno, Czech Republic

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

Abstract

In recent years, fuzzy multisets have become a subject of great interest for researchers and have been widely applied to algebraic structures including groups, rings, and many other algebraic structures. In this paper, we introduce the algebraic structure of fuzzy multisets as fuzzy multi-subnear rings (multi-ideals) of near rings. In this regard, we define different operations on fuzzy multi-ideals of near rings and we generalize some results known for fuzzy ideals of near rings to fuzzy multi-ideals of near rings.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference29 articles.

1. On fuzzy subnear-rings and ideals;Abou-Zaid;Fuzzy Sets and Systems,1991

2. m-Polar fuzzy ideals of BCK/BCI-algebras;Al-Masarwah;Journal of King Saud University - Science,2019

3. m-Polar (α, β)- Fuzzy ideals in BCK/BCI-algebras;Al-Masarwah;Symmetry,2019

4. A new form of generalized m-PF Ideals in BCK/BCI-algebras;Al-Masarwah;Ann Commun Math,2019

5. Fuzzy multi-polygroups;Al-Tahan;J Intell Fuzzy Syst,2020

Cited by 4 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 structure of maximal ideals in near rings;Complex & Intelligent Systems;2024-06-15

2. A Detailed Study of Mathematical Rings in q-Rung Orthopair Fuzzy Framework;Symmetry;2023-03-10

3. SEMIHYPERGROUPS CHARACTERIZED BY MEANS OF THEIR FERMATEAN FUZZY BI-HYPERIDEALS;INT J INNOV COMPUT I;2023

4. On Pythagorean fuzzy ideals of a classical ring;AIMS Mathematics;2023