Abstract

In this paper, we introduce the concepts of (in ,in vee (kappa ^*,q_kappa ))-fuzzy left (right) ideals and (in ,in vee (kappa ^*,q_kappa ))-fuzzy ideals in ordered semirings. Some correspondence between (left, right) ideals and (in ,in vee (kappa ^*,q_kappa ))-fuzzy (left, right) ideals of ordered semirings are presented. Moreover, the notion of (kappa ^*,kappa )-lower part of (in ,in vee (kappa ^*,q_kappa ))-fuzzy (left, right) ideals is defined and characterizations of different classes of ordered semirings are given.

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