Abstract
In this article we study the idea of complex neutrosophic subsemigroups. We define the Cartesian product of complex neutrosophic subsemigroups, give some examples and study some of its related results. We also define complex neutrosophic (left, right, interior) ideal in semigroup. Furthermore, we introduce the concept of characteristic function of complex neutrosophic sets, direct product of complex neutrosophic sets and study some results prove on its.
Highlights
In 1965, Zadeh, ( [1]) presented the idea of a fuzzy set
In this article we study the idea of complex neutrosophic subsemigroups
We introduce the concept of characteristic function of complex neutrosophic sets, direct product of complex neutrosophic sets and study some results prove on its
Summary
In 1965, Zadeh, ( [1]) presented the idea of a fuzzy set. Atanassov in 1986, ( [2]) initiated the notion of intuitionistic fuzzy set, which is the generalization of a fuzzy set. Abd Uazeez et al in 2012 ( [12]), added the non-membership term to the idea of complex fuzzy set which is known as complex intuitionistic fuzzy sets, the range of values are extended to the unit circle in complex plan for both membership and non-membership functions instead of [0, 1]. In 2016, Mumtaz Ali et al ( [14]), more extended the concept of complex fuzzy set, complex intuitionistic fuzzy set, and introduced the concept of complex neutrosophic sets, which is a collection of a complex truth membership function, a complex indeterminacy membership function and a complex falsity membership function. ( [1]) A function f is defined from a universe X to a closed interval [0, 1] is called a fuzzy set, i.e., a mapping:.
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