Review of Generalized Neutrosophic Soft Set in Solving Multiple Expert Decision Making Problems

Sonali Priyadarsini ^*1, Ajay V. Singh ², Said Broumi ³

^1,2 AIIT, Amity University, Noida, Uttar Pradesh, India

³ Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco

Emails: sonalisahu0807@gmail.com; avsingh1@amity.edu; broumisaid78@gmail.com

Abstract

To manage issues with incompleteness, indeterminacy, and awareness of inconsistent information, Maji presented the idea of a neutrosophic soft set by merging the ideas of a neutrosophic set and a soft set. The generalized neutrosophic soft set (GNSS) is an extension of this idea, which has now been developed further. At the beginning of this paper, we describe the definition of a generalized neutrosophic soft set. Then, we focus on the concepts of GNSS operations, such as AND, OR, complement, intersection, and union, and provide illustrated examples to describe a number of associated properties. Finally, a description of an algorithm and an application that uses GNSS to address challenges that arise when making decisions that need the experience of more than one specialist is offered here.

Keywords: Soft set; Neutrosophic soft set; Generalized neutrosophic soft set; Multiple expert decision making.