Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS)

Abstract

Technique for order performance by similarity to ideal solution (TOPSIS) is a Multi-Criteria DecisionMaking method (MCDM), that consists on handling real complex problems of decision-making. However, real MCDM problems are often involves imperfect information such as uncertainty and inconsistency. The imperfect information is often manipulated through Neutrosophics theory, using certain degree of truth (T), falsity degree (F) and indeterminacy degree(I). and thus single-valued neutrosophic set (SVNs) had prodded a strong capacity to model such complex information. To overcome that kind of problems, In this paper, first, the authors simplify the popular TOPSIS method to a lite TOPSIS (S-TOPSIS), that gives the same result as standard version. Second, mapping STOPSIS to Neutrosophics Environment, investigating SVNS, called nS-TOPSIS, to deal with imperfect information in the real decision-making problems. Numerical examples show the contributions of proposed S-TOPSIS method to get the same results with standard TOPSIS with simple way of calculus, and how Neutrosophic environment manage the uncertain information using SVN.

Keywords

• Technique for order performance by similarity to ideal solution (TOPSIS)
• MCDM
• Single-Valued Neutrosophic set(SVNs)
• Neutrosophic Simplified TOPSIS(nS-TOPSIS)