A NOVEL MULTI-CRITERIA GROUP DECISION-MAKING APPROACH USING SIMPLIFIED NEUTROSOPHIC INFORMATION

This work develops a novel approach for multicriteria group decision-making (MCGDM) problems based on the Choquet integral with simplified neutrosophic information. In such an environment, the truth-membership, indeterminacy-membership, and falsity-membership degrees for each element are singleton subsets in [0, 1]. In this paper, considering the fact that the Einstein t-norms and t-conorms can manage the relation between the computed objectives, the Einstein operations of simplified neutrosophic numbers (SNNs) are defined. Then, three definitions for the distance of SNNs are presented. Subsequently, taking advantage of the Choquet integral and that it can reflect the correlation of objectives, two aggregation operators for SNNs are also defined: specifically, the simplified neutrosophic Choquet integral weighted averaging operator and the simplified neutrosophic Choquet integral weighted geometric operator. Also, the properties related to these two aggregation operators are discussed in detail. Additionally, based on the aggregation operators and the technique for order preference by similarity to ideal solution (TOPSIS), a novel approach is developed to resolve MCGDM problems based on SNNs and unknown weight information, which has not been extensively discussed in the existing literature. Finally, this work provides a practical example to illustrate the practicality and effectiveness of the proposed approach; a comparison analysis is also presented based on the same example.