Abstract

The idea of a homomorphism of a cubic set of a KU-semigroup is studied and the concept of the product between two cubic sets is defined. And then, a new cubic bipolar fuzzy set in this structure is discussed, and some important results are achieved. Also, the product of cubic subsets is discussed and some theorems are proved. 2010 AMS Classification: 06F35, 03G25, 08A72.

Highlights

  • In 2009, Prabpayak and Leerawat [1,2] studied a new algebra called a KU-algebra

  • [5] Kareem and Hasan presented the structure of a KU-semigroup and introduced some ideals of this structure

  • [7] Kareem and Talib gave the concept of an interval value fuzzy some ideal in KUsemigroup

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Summary

Introduction

In 2009, Prabpayak and Leerawat [1,2] studied a new algebra called a KU-algebra. They introduced homomorphism in a KU-algebra and discussed some recent results. Example 2.2 [1].The following table define the binary operation ∗ on the set א = {0, a, b, c}

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