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 decisionmaking 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 decisionmakers 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.

Neutrosophic set theory as a generalization of the fuzzy set theory and intuitionistic fuzzy set theory is an effective tool to deal with inconsistent, imprecise, and vague information. TOPSIS is a multiple attribute method to identify solutions from a finite set of alternatives based upon simultaneous minimization of distance from an ideal point and maximization of distance from a nadir point. In this paper, we first develop a new Hamming distance between single-valued neutrosophic numbers and then present an extension of the TOPSIS method for multi-attribute group decision-making (MAGDM) based on single-valued neutrosophic sets, where the inform ation about attribute values and attribute weights are expressed by decision-makers based on neutrosophic numbers.

Because of the intricate nature of real-world scenarios, experts could encounter many ambiguities throughout the decision-making (DM) process. Adopting a DM strategy in conditions of indeterminacy so that the decision makers are limited to a small number of experts is always helpful in real life. Neutrosophic conception is a convenient technique for handling inconsistent, ambiguous, and uncertain values. This research presents an autocratic DM strategy based on Neutrosophic Sets (NSs) to address these ambiguities. The essential component of the suggested technique is the conversion of diverse management decision and weight matrices into a unified evaluation matrix. Supplier Selection (SS) is a multi-criteria decision-making problem where a limited number of alternative suppliers are evaluated using a limited set of criteria. The suggested methodology based on different score functions is applied to SS issues involving construction materials. The numerical illustrations indicate the success of the introduced method in selecting the best supplier with the least computational complexity. The important point obtained in this research is that adopting a suitable score function appropriate to the characteristics of the data plays an important role in the decision-making process.

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Highlights• Present a technique to convert every Interval Neutrosophic problem into the crisp model.• A powerful tool for dealing with indeterminate and inconsistent information.• A technique for solving and optimizing the problems based on uncertainty.