S.Z. Nasseri - Department of Computer Engineering, Noshirvani University of Technology (NUT), Babolsar, Iran.
Amirhossein Nafei - Department of Industrial Engineering and Management, National Taipei University of Technology, Taipei ۱۰۶۰۸, Taiwan

Some versions of uncertainty in creating decision-making methods and techniques are based on parameter modeling which are extened from the concepts of fuzzy sets such as interval-values Fuzzy sets, interval-valued Fuzzy sets and Neutrosophic sets. The theory of Neutrosophic sets are a useful tools for handling incomplete, inconsistent, and unclear information. Unlike fuzzy sets, Neutrosophic set is defined with three‐dimensional membership functions to describe the degrees of truth, indeterminacy, and falsity. In this study, we propose a new approach to order the decision which is invloved by the Neutrosophic numbers based on TOPSIS method. And then proposed a modified scoring function for single-valued ranking in decision making problem

Decision making, interval-valued Fuzzy sets and Neutrosophic sets, Ordering approaches.