As a combination of the hesitant fuzzy set (HFS) and the single valued neutrosophic set (SVNS), the single valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real-life, which consists of three membership functions including hesitancy, as the truth-hesitancy membership function, the indeterminacy-hesitancy membership func...

141 Abstract Neutrosophic sets, being generalization of classic sets, fuzzy sets and intuitionistic fuzzy sets, can simultaneously represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. Neutrosophic theory has been developed in twenty first century and not much of arithmetic has been developed for this set. To solve any problem using neutrosophic da...

With respect to single-valued neutrosophic multiple attribute decision making problems with completely unknown weight information, some operational laws of single-valued neutrosophic numbers, score function and accuracy function of single-valued neutrosophic numbers are introduced. To determine the attribute weights, a model based on the information entropy, by which the attribute weights can b...

In this paper, we have investigated single valued neutrosophic multisets in detail. Several operations have been defined on them and their important algebraic properties are studied.We have further introduced the notion of distance and similarity measures between two single valued neutrosophic multisets. An application of single valued neutrosophic multisets in medical diagnosis has been discus...

This main purpose of this paper is to develop an algorithm to find the shortest path on a network in which the weights of the edges are represented by bipolar neutrosophic numbers. Finally, a numerical example has been provided for illustrating the proposed approach. Introduction Smarandache [1, 2] introduced neutrosophic set and neutrosophic logic by considering the nonstandard analysis. The c...

This paper presents two novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic simlarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information. Then, the objective weights of various parameters are determined via grey system...

Heronianmean (HM) has the characteristic of capturing the correlations of the aggregated arguments and the neutrosophic set can express the incomplete, indeterminate and inconsistent information, in this paper, we applied the Heronian mean to the neutrosophic set, and proposed some Heronian mean operators. Firstly, we presented some operational laws and their properties of single valued neutros...

Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function and falsity membership function. In this paper, we study the multi-attribute group decision making (MAGDM) problems under neutrosophic environment with the incompletely known or completely unkn...

As a generalization of intuitionistic fuzzy sets, neutrosophic sets (NSs) can be better handle the incomplete, indeterminate and inconsistent information, which have attracted the widespread concerns for researchers. In this paper, some new aggregation operators are proposed under single-valued neutrosophic environment. Firstly, the definition and operational laws of single-valued neutrosophic ...

Abstract As an important and interesting topic in supply chain management, the concept of fuzzy set theory has been widely used in logistics center location in order to improve the reliability and suitability of the logistics center location with respect to the impacts of both qualitative and quantitative factor. However fuzzy set cannot deal with the indeterminacy involving with the problem. S...