Novel Generalized Divergence Measure and Aggregation Operators With Applications for Simplified Neutrosophic Sets

Abstract

The amount of information on which researchers work increases continuously due to the new developments around the world. This information contains data which is uncertain, incomplete and cannot be fully expressed using crisp numbers. To manage such information, the theory of fuzzy sets, intuitionistic fuzzy sets and neutrosophic sets are used. Neutrosophic sets were introduced as the generalization of fuzzy and intuitionistic fuzzy sets to show incomplete, imprecise, inconsistent and uncertain information that exists in real situations. In this paper, a generalized neutrosophic divergence measure is proposed along with the proof of its validity and neutrosophic aggregation operators are discussed. The proposed measure is applied in decision-making for simplified neutrosophic sets. An illustrative example is provided to demonstrate the application and effectiveness of the developed approach and to test its practicality and legitimacy.