NN-TOPSIS strategy for MADM in neutrosophic number setting

Abstract

Selecting an appropriate alternative among the feasible selection options is a difficult 
activity for decision makers. Because of the imprecise information and the complexity of decision 
problem, it is not easy to evaluate the attributes in terms of crisp numbers. To deal with the 
problem, neutrosophic numbers can be used during the decision process. Neutrosophic numbers 
can easily describe cognitive information. In this paper, we use neutrosophic numbers to state 
evaluation information. We define unit neutrosophic number as an effective tool to express 
cognitive information. We propose novel NN-TOPSIS strategy in neutrosophic number 
environment. Moreover, we define Euclidean distance in neutrosophic numbers environment, and 
propose a tangent function to determine unknown attribute weights. We propose linguistic 
variables in neutrosophic number environment. We present a numerical example dealing with a 
decision-making problem based on the proposed NN-TOPSIS strategy We present a sensitivity 
analysis for reflecting the influence of indeterminacy values. We then conduct a comparison 
analysis between the proposed NN-TOPSIS and other existing decision- making strategies.