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Application of n-Cylindrical Fuzzy Neutrosophic Sets in Education Using Neutrosophic Similarity Index and Neutrosophic Score Ratio
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Author(s): Sarannya Kumari R. (Catholicate College, Pathanamthitta, India), Sunny Joseph Kalayathankal (Jyothi College of Engineering, Thrissur, Kerala, India), Mathews M. George (Providence College of Engineering and School of Business, India)and Florentin Smarandache (University of New Mexico, USA)
Copyright: 2023
Pages: 21
Source title:
Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education
Source Author(s)/Editor(s): Said Broumi (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco & Regional Center for the Professions of Education and Training (CRMEF), Morocco)
DOI: 10.4018/978-1-6684-7836-3.ch004
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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.
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