Application of n-Cylindrical Fuzzy Neutrosophic Sets in Education Using Neutrosophic Similarity Index and Neutrosophic Score Ratio

Abstract

The n-Cylindrical fuzzy neutrosophic sets (n-CyFNS) with I as independent neutrosophic component, are one of the largest extension of fuzzy sets except fuzzy neutrosophic sets. Here the positive, neutral, and negative membership functions are satisfying the condition, 0≤ βA(x) ≤1 and 0≤ αAn(x) + γAn(x) ≤ 1, n≥1, is an integer. In this set, two constrains are defined, in order to broaden the membership value range. In this chapter, some applications of n-Cylindrical fuzzy neutrosophic sets in the field of education are presented, such as evaluating a funded project proposal and staff recruitment using a neutrosophic score ratio and a neutrosophic similarity index. A modest attempt is made to make sociometry more acceptable in the context of mathematics. For this, n-Cylindrical fuzzy neutrosophic relations (n-CyFNRs) are introduced. Using n-CyFNRs, this study hope to provide a new quantitative approach to sociometry.