(Alpha, Beta)-Fuzzy Subsemigroup and (Alpha, Beta)-Fuzzy Bi-ideal in Gamma- Semigroups

zbMath1282.20070arXiv1102.0169MaRDI QIDQ2869494

Sujit Kumar Sardar, Samit Kumar Majumder, Soumitra Kayal, Bijan Davvaz

Publication date: 3 January 2014

Abstract: In this paper, using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concepts of (epsilon, epsilon join q)- fuzzy subsemigroup and (epsilon, epsilon join q)- fuzzy bi-ideal in a gamma-semigroup have been introduced and some related properties have been investigated.

Full work available at URL: https://arxiv.org/abs/1102.0169

zbMATH Keywords

fuzzy idealsquasi-coincidenceregular \(\Gamma\)-semigroupsgeneralized fuzzy interior idealssemisimple \(\Gamma\)-semigroups

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Fuzzy groups (20N25) Semigroups (20M99)

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