The purpose of this paper is to introduce and study the characteristic function of a neutrosophic set. After given the fundamental definitions of neutrosophic set operations generated by, we obtain several properties, and discussed the relationship between neutrosophic sets generated by Ng and others. Finally, we introduce the neutrosophic topological spaces generated by Ng . Possible applicati...

To deal with decision-making problems with interval neutrosophic uncertain linguistic information, the paper proposes a multiple attribute group decision-making method under an interval neutrosophic uncertain linguistic environment. Firstly, the concept of an interval neutrosophic uncertain linguistic set and an interval neutrosophic uncertain linguistic variable (INULV) is presented by combini...

Given Φ,Ψ ∈ {∈, q,∈ ∨ q}, the notion of (Φ, Ψ)neutrosophic subalgebras of a BCK/BCI-algebra are introduced, and related properties are investigated. Characterizations of an (∈,∈)neutrosophic subalgebra and an (∈,∈∨ q)-neutrosophic subalgebra are provided. Given special sets, so called neutrosophic ∈-subsets, neutrosophic q-subsets and neutrosophic ∈∨ q-subsets, conditions for the neutrosophic ∈...

In this work, we first define a relation on neutrosophic soft sets which allows to compose two neutrosophic soft sets. It is devised to derive useful information through the composition of two neutrosophic soft sets. Then, we examine symmetric, transitive and reflexive neutrosophic soft relations and many related concepts such as equivalent neutrosophic soft set relation, partition of neutrosop...

The purpose of this paper is to introduce multiattribute decision making based on the concept of interval neutrosophic sets. While the concept of neutrosophic sets is a powerful tool to deal with indeterminate and inconsistent data, the interval neutrosophic set is also a powerful mathematical tool as well as more flexible to deal with incompleteness. The rating of all alternatives is expressed...

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...

In this paper, we have firstly redefined the notion of neutrosophic soft set and its operations in a new way to handle the indeterminate information and inconsistent information which exists commonly in belief systems. Then, we defined neutrosophic soft matrix and their operators which are more functional to make theoretical studies and application in the neutrosophic soft set theory. The matri...

This paper presents some similarity measures between complex neutrosophic sets. A complex neutrosophic set is a generalization of neutrosophic set whose complex-valued truth membership function, complex-valued indeterminacy membership function, and complex valued falsity membership functions are the combinations of realvalued truth amplitude term in association with phase term, real-valued inde...

The single-valued neutrosophic set is a subclass of neutrosophic set, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems. The key to using neutrosophic sets in decision-making applications is to make a similarity measure between single-valued neutrosophic sets. In this paper, a new method to meas...

Maji[32], firstly proposed neutrosophic soft sets can handle the indeterminate information and inconsistent information which exists commonly in belief systems. In this paper, we have firstly redefined complement, union and compared our definitions of neutrosophic soft with the definitions given by Maji. Then, we have introduced the concept of neutrosophic soft matrix and their operators which ...