Abstract

In this work, we introduce an intuitionistic fuzzy ideal on a KU-semigroup as a generalization of the fuzzy ideal of a KU-semigroup. An intuitionistic fuzzy k-ideal and some related properties are studied. Also, a number of characteristics of the intuitionistic fuzzy k-ideals are discussed. Next, we introduce the concept of intuitionistic fuzzy k-ideals under homomorphism along with the Cartesian products.

Highlights

  • In this work, we introduce an intuitionistic fuzzy ideal on a KU-semigroup as a generalization of the fuzzy ideal of a KU-semigroup

  • We could prove some results about the intuitionistic fuzzy k-ideal

  • Basic concepts Some basic concepts that are necessary for the main part of the paper are included

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Summary

Introduction

We introduce an intuitionistic fuzzy ideal on a KU-semigroup as a generalization of the fuzzy ideal of a KU-semigroup. [10] Let {0, a,b,c}be a set and a binary operation defined by the following Definition 2.5[11].ˑ Let ( , ,0) be a KU-algebra and I , I is named a KU-ideal if for any , , , (I1) 0 I and (I2 ) , , , if ( ( )) I and I imply I .

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