Characterization of Semi-Ring by Rough Spherical Fuzzy ideals

Abstract

In this paper we combine the rough set and spherical fuzzy set. We define spherical fuzzy ideal in semi-ring. Also we prove nonempty intersection of spherical fuzzy ideals is also spherical fuzzy ideal. The image and pre image of an spherical fuzzy ideal is also a spherical fuzzy ideal.Approximation of spherical fuzzy set on a crisp approximation space gives a rough spherical fuzzy set. Also we introduce algebraic properties of rough spherical fuzzy ideals in semi-ring. Some examples are established.