Department of Mathematics, Faculty of Education, University of Zakho, Zakho, Iraq.
Department of Mathematics, Sana'a University, Sana'a, Yemen.
Comput Intell Neurosci. 2021 Oct 27;2021:1272266. doi: 10.1155/2021/1272266. eCollection 2021.
The purpose of this paper is to define the concept of (3, 2)-fuzzy sets and discuss their relationship with other kinds of fuzzy sets. We describe some of the basic set operations on (3, 2)-fuzzy sets. (3, 2)-Fuzzy sets can deal with more uncertain situations than Pythagorean and intuitionistic fuzzy sets because of their larger range of describing the membership grades. Furthermore, we familiarize the notion of (3, 2)-fuzzy topological space and discuss the master properties of (3, 2)-fuzzy continuous maps. Then, we introduce the concept of (3, 2)-fuzzy points and study some types of separation axioms in (3, 2)-fuzzy topological space. Moreover, we establish the idea of relation in (3, 2)-fuzzy set and present some properties. Ultimately, on the basis of academic performance, the decision-making approach of student placement is presented via the proposed (3, 2)-fuzzy relation to ascertain the suitability of colleges to applicants.
本文旨在定义（3,2）-模糊集的概念，并讨论它们与其他类型模糊集的关系。我们描述了（3,2）-模糊集的一些基本集合运算。（3,2）-模糊集可以处理比 Pythagorean 和直觉模糊集更多的不确定情况，因为它们在描述成员等级时有更大的范围。此外，我们熟悉（3,2）-模糊拓扑空间的概念，并讨论（3,2）-模糊连续映射的主要性质。然后，我们引入（3,2）-模糊点的概念，并研究（3,2）-模糊拓扑空间中的几种分离公理。此外，我们建立了（3,2）-模糊集的关系概念，并提出了一些性质。最后，基于学业成绩，通过提出的（3,2）-模糊关系，提出了学生安置的决策方法，以确定学院对申请人的适合性。
