N-dimensional (α, β)-fuzzy H-ideals in hemirings

Abstract

In this paper, we are combining the notions of n-dimensional fuzzy set and n-dimensional fuzzy point to introduce a new notion called n-dimensional (a, b)-fuzzy ideals in hemirings. The defined notion is a generalization of fuzzy ideals, interval valued fuzzy ideals, (a, b)-fuzzy ideals and interval valued (a, b)-fuzzy ideals in hemirings. We describe the characterization of n-dimensional (a, b)- fuzzy ideals in hemirings by upper level set. More over we define n-dimensional prime (a, b)-fuzzy ideals in hemirings.