Some approaches to multi criteria decision making based on exponential operations of simplified neutrosophic numbers

Abstract

Simplified neutrosophic set (SNS) is a powerful tool that attracts the attention of many scholars in dealing with uncertainty and vagueness. A SNS is based on a combination of simplified neutrosophic numbers (SNNs), whose its basic components are characterized by a truth-membership degree, an indeterminacy-membership degree and a falsity-membership degree of an object in evaluation data. Aggregation operators used to synthesize simplified neutrosophic information is commonly not very effective in case where the criteria weights provided by decision makers are in form of SNNs rather than exact real numbers. In this paper, we propose two new operational laws in which the bases are positive real numbers and interval numbers, respectively and the exponents are SNNs, and discuss some of their desired properties. Then we apply them to derive two weighted exponential aggregation operators, such as the simplified neutrosophic weighted exponential aggregation (SNWEA) operator and dual simplified neutrosophic weighted exponential aggregation (DSNWEA) operator. Additionally, two approaches for multi-criteria decision-making (MCDM) problems under the neutrosophic weight data are explored by applying these aggregation operators. At the end of the study, a convenient example is provided to demonstrate the availability and effectiveness of the proposed methods.