Abstract

Mostly, models of real life problems are consist of uncertainties. Fuzzy set theory is one of the tool for handling such uncertainties and for applications of fuzzy set theory we have used non-associative algebraic structure namely AG-groupoids. Specifically, we have discussed the -fuzzy left ideals,-fuzzy ideals, -fuzzy semiprime ideals and -fuzzy bi-ideals in an AG-groupoid. We have characterized intra-regular AG-groupoids by the properties of their ideals and -fuzzy ideals.

Key words: AG-groupoid, left invertive law, medial law, paramedial law, -fuzzy ideals and -fuzzy bi-ideals.