Abstract

The important role of the concept of type-2 fuzzy point in the formation of type-2 fuzzy open sets such as type-2 fuzzy δ≈-closed set this important role make the main objective of this paper is to introduce the concept type-2 fuzzy point of type-2 fuzzy set an important definitions in the composition of this concept as α≈-plane and the support of type-2 fuzzy set after preliminaries we present the definition of type-1 fuzzy set (fuzzy set) and fuzzy point and the special concepts that helped to configure them as support.

Highlights

  • The main concept of a type-1 fuzzy set is introduced by Zadeh in 1965 [1]

  • The important role of the concept of type-2 fuzzy point in the formation of type-2 fuzzy open sets such as type-2 fuzzy δ -closed set this important role make the main objective of this paper is to introduce the concept type-2 fuzzy point of type-2 fuzzy set an important definitions in the composition of this concept as α -plane and the support of type-2 fuzzy set after preliminaries we present the definition of type-1 fuzzy set and fuzzy point and the special concepts that helped to configure them as support

  • This section paves the way to introducing the concept of type-2 fuzzy point by providing definitions of special important concept type-1 fuzzy set and type-2 fuzzy set after submitting the special definition to the clusters

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Summary

Introduction

The main concept of a type-1 fuzzy set (fuzzy set) is introduced by Zadeh in 1965 [1]. In [2], he introduced the concept, namely, type-2 fuzzy set in 1973 to classify a fuzzy set of type-1 fuzzy set when dealing with type-2 fuzzy set. Scientists introduced several important concepts of the type-2 fuzzy set that correspond to the main concepts of the type-1 fuzzy set. Mendel introduced a very important concept interval type-2 fuzzy sets [5]. Al-Khafaji interval type-2 fuzzy topological space [7] and introduced Mohammad and Munir General type-2 fuzzy topological space [8]. The type-2 fuzzy open sets such as type-2 fuzzy δ -preopen set and type-2 fuzzy e -open set, we cannot configure its own definition only after introduce type-2 fuzzy point concept that belongs to the general fuzzy type-2 topological space

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