A.R. Alizadeh - Department of Mathematics, University of Yasouj, Yasouj, Iran
S. Yazdanpanah - Department of Mathematics, University of Yasouj, Yasouj, Iran

In this manuscript we investigate the more general problem of characterization of all those fuzzy ideals that can be identified with a given arbitrary family C of subsets of commutative ring of R together with a given arbitrary subset S of [0,1]. Moreover examples are presented to further support are results and shed more light on the abovementioned problem of identification.

Fuzzy ideal, Fuzzy ring, Chain conditions, Commutative ring