T-fuzzy Bi-ideals in Semirings

Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 2, Issue 1

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.

Authors and Affiliations

Rasul Rasuli

Keywords

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  • EP ID EP592874
  • DOI 10.34198/ejms.2119.241263
  • Views 147
  • Downloads 0

How To Cite

Rasul Rasuli (2019). T-fuzzy Bi-ideals in Semirings. Earthline Journal of Mathematical Sciences, 2(1), 241-263. https://europub.co.uk/articles/-A-592874