Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making

• Main Authors: Vakkas Uluçay, Memet Şahin, Nasruddin Hassan
• Format: Article
• Language: English
• Published: MDPI AG 2018-09-01
• Series: Symmetry
• Subjects: aggregation operator; complement; intersection; membership; neutrosophic soft set
• Online Access: http://www.mdpi.com/2073-8994/10/10/437

Smarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of complement, union, intersection, AND, OR, and study some related properties, with supporting proofs. Subsequently, we define a GNSES-aggregation operator to construct an algorithm for a GNSES decision-making method, which allows for a more efficient decision process. Finally, we apply the algorithm to a decision-making problem, to illustrate the effectiveness and practicality of the proposed concept. A comparative analysis with existing methods is done and the result affirms the flexibility and precision of our proposed method.