T-fuzzy Bi-ideals in Semirings

  • Rasul Rasuli Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
DOI: https://doi.org/10.34198/ejms.2119.241263
Keywords: semirings, ideals, regularity theory, fuzzy set theory, norms, T-fuzzy bi-ideals

Abstract

In this work, we initiate the study of fuzzy bi-ideals under t-norms (T-fuzzy bi-ideals) in semirings and investigate some properties of them. Also we define prime, strongly prime, semiprime, irreducible, strongly irreducible T-fuzzy bi-ideals of semirings. Next we investigate them under regular and intra-regular semirings. Finally, we characterize them under totally ordered by inclusion of T-fuzzy bi-ideals of semirings.

Published
2019-06-26
How to Cite
Rasuli , R. (2019). T-fuzzy Bi-ideals in Semirings. Earthline Journal of Mathematical Sciences, 2(1), 241-263. https://doi.org/10.34198/ejms.2119.241263
Issue
Vol 2 No 1 (2019)
Section
Articles


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