05925046

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05925046 Thillaigovindan, N. On $T$-fuzzy bi-ideal and quasi-ideal of $\Gamma$-semigroup. Ladde, G. S. (ed.) et al., Proceedings of neural, parallel, and scientific computations. Vol. 4. Proceedings of the 4th international conference, Atlanta, GA, USA, August 11--14, 2010. Atlanta, GA: Dynamic Publishers (ISBN 1-890888-05-2/pbk). 367-372 (2010). 2010 Atlanta, GA: Dynamic Publishers EN fuzzy bi-ideals fuzzy quasi-ideals $\Gamma$-semigroups Summary: We introduce the notion of $T$-fuzzy bi-ideal and $T$-fuzzy quasi-ideal of a $\Gamma$-semigroup. We illustrate by examples that $T$-fuzzy subsemigroup ($T$-fuzzy bi-ideal, $T$-fuzzy quasi-ideal) is not a fuzzy subsemigroup (fuzzy bi-ideal, fuzzy quasi-ideal) of a $\Gamma$-semigroup. Generally in fuzzy theory, there is a one-to-one correspondence between fuzzy set and its level set. But this concept cannot be extended to $T$-fuzzy set and $t$-level set.