Optimized score function and its application in group multiattribute decision making based on fuzzy neutrosophic sets

Some extensions of fuzzy sets such as interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type n-fuzzy sets, and neutrosophic sets provided powerful and practical tools for dealing with uncertainty in decision-making problems. Neutrosophic set is defined with three-dimensional membership functions to describe the degrees of truth, indeterminacy, and falsity. Neutrosophic set theory is a useful instrument to handle incomplete, inconsistent, and indeterminate information. In this paper, we first propose a modified score function for ranking single-valued neutrosophic numbers. Then, we suggest a TOPSIS method based on the proposed function for decision-making under group recommendation. The method is applied to deal with the hotel location selection problem, where the decision values of the attributes for alternatives and the weights of the attributes are given by decision-makers based on single-valued neutrosophic sets. Finally, numerical experiments are done. They show that the given method is more efficient as well as more reasonable tool for decision-making in contrast to the other existing methods.

Automated summary

The paper introduces neutrosophic set theory and its application in decision-making, including a modified score function for ranking single-valued neutrosophic numbers and a TOPSIS method based on this function. Empirical experiments validate the effectiveness and rationality of the method in decision-making.