@inbook {IOPORT.05925046, author = {Thillaigovindan, N.}, title = {On $T$-fuzzy bi-ideal and quasi-ideal of $\Gamma$-semigroup.}, year = {2010}, booktitle = {Proceedings of neural, parallel, and scientific computations. Vol. 4. Proceedings of the 4th international conference, Atlanta, GA, USA, August 11--14, 2010.}, isbn = {1-890888-05-2}, pages = {367-372}, publisher = {Atlanta, GA: Dynamic Publishers}, abstract = {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.}, identifier = {05925046}, }