10.30495/fomj.2023.1967637.1074

Anti-Fuzzy Bi-Ideals in Semirings Under S-norms

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  • Rasul Rasuli*1,
  1. Department of Mathematics‎, ‎Payame Noor University (PNU)‎, ‎P‎. ‎O‎. ‎Box 19395-4697‎, ‎Tehran‎, ‎Iran.

Received: 2022-09-12

Revised: 2022-12-05

Accepted: 2022-12-25

Published in Issue 2022-12-25

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Rasuli, R. (2022). Anti-Fuzzy Bi-Ideals in Semirings Under S-norms. Fuzzy Optimization and Modeling Journal (FOMJ), 3(4), 17-31. https://doi.org/10.30495/fomj.2023.1967637.1074
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Abstract

In this paper‎, ‎by using S-norms‎, ‎the notion of anti fuzzy bi-ideals in semirings will be defined and investigated some properties of them‎. ‎Next prime‎, ‎strongly prime‎, ‎semiprime‎, ‎irreducible‎, ‎strongly irreducible of them will be introduced and obtained some results about them‎. ‎Latter‎, ‎they will be investigated under regular and intra-regular semirings‎. ‎Finally‎, ‎they will be characterized under totally ordered by inclusion‎.

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