Faculty Performance Evaluation through Multi-Criteria Decision Analysis Using Interval-Valued Fermatean Neutrosophic Sets

Said Broumi (), Raman Sundareswaran, Marayanagaraj Shanmugapriya, Prem Kumar Singh, Michael Voskoglou and Mohamed Talea
Additional contact information
Said Broumi: Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca 20000, Morocco
Raman Sundareswaran: Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai 603110, India
Marayanagaraj Shanmugapriya: Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai 603110, India
Prem Kumar Singh: Department of Computer Science and Engineering, Gandhi Institute of Technology and Management, Visakhapatnam 530045, India
Michael Voskoglou: School of Engineering, University of Peloponnese, 26334 Patras, Greece
Mohamed Talea: Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca 20000, Morocco

Mathematics, 2023, vol. 11, issue 18, 1-21

Abstract: The Neutrosophic Set ( N s e t ) represents the uncertainty in data with fuzzy attributes beyond true and false values independently. The problem arises when the summation of true ( T r ) , false ( F a ) , and indeterminacy I n values crosses the membership value of one, that is, T r + I n + F a < 1 . It becomes more crucial during decision-making processes like medical diagnoses or any data sets where T r + I n + F a < 1 . To achieve this goal, the F N s e t is recently introduced. This study employs the Interval-Valued Fermatean Neutrosophic Set ( I V F N s e t ) as its chosen framework to address instances of partial ignorance within the domains of truth, falsehood, or uncertainty. This selection stands out due to its unique approach to managing such complexities within multi-decision processes when compared to alternative methodologies. Furthermore, the proposed method reduces the propensity for information loss often encountered in other techniques. IVFNS excels at preserving intricate relationships between variables even when dealing with incomplete or vague information. In the present work, we introduce the I V F N s e t , which deals with partial ignorance in true, false, or uncertain regions independently for multi-decision processes. The I V F N s e t contains the interval-valued T r m e m b e r s h i p value, I n m e m b e r s h i p value, and F a m e m b e r s h i p for knowledge representation. The algebraic properties and set theory between the interval-valued F N s e t have also been presented with an illustrative example.

Keywords: Fermatean neutrosophic sets; interval-valued Fermatean neutrosophic sets; faculty performance evaluation; multicriteria decision analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/18/3817/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/18/3817/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:18:p:3817-:d:1233560

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().