In this paper a new approach is being introduced to study roughness through neutrosophic soft sets. This new model is called neutrosophic right neighborhood .The concept of neutrosophic soft rough set approximations will be defined, properties of suggested approximations are deduced and proved and then some of neutrosophic soft rough set concepts will be defined along with several propositions ...

In this paper, we extend the notion of classical soft expert sets to possibility neutrosophic vague soft expert sets by applying the theory of soft expert sets to possibility neutrosophic vague soft sets. The subset, complement, union, intersection, AND and OR operations as well as some related concepts pertaining to this notion are defined.

Recently, three-way concept lattice is studied to handle the uncertainty and incompleteness in the given attribute set based on acceptation, rejection, and uncertain regions. This paper aimed at analyzing the uncertainty and incompleteness in the given fuzzy attribute set characterized by truth-membership, indeterminacy-membership, and falsity membership functions of a defined single-valued neu...

use a novel approach, i.e. neutrosophic logic which is a generalization of fuzzy logic and especially of intuitionistic fuzzy logic, to image segmentation-following one of the authors (H. D. Cheng) together with his co-author Y. Guo previous published paper on neutrosophic approach to image thresholding. The authors improved the watershed algorithms using a neutrosophic approach (i.e. they cons...

In this paper, the correlation measure of neutrosophic refined(multi-) sets is proposed. The concept of this correlation measure of neutrosophic refined sets is the extension of correlation measure of neutrosophic sets and intuitionistic fuzzy multi-sets. Finally, using the correlation of neutrosophic refined set measure, the application of medical diagnosis and pattern recognition are presented.

Single-valued neutrosophic hesitant fuzzy set is a merged form of single-valued neutrosophic sets and hesitant fuzzy sets. This set is a useful tool to handle imprecise, incomplete and inconsistent information existing in multi-attribute decision making problems. In multi-attribute decision making, distance measures play an important role to take a decision regarding alternatives. In this paper...

In this paper we extend fuzzy analytic hierarchy process into neutrosophic cubic environment. The neutrosophic cubic analytic hierarchy process can be used to manage more complex problems when the decision makers has a number of uncertainty, assigning preferences values to the considered object. We also define the concept of triangular neutrosophic cubic numbers and their operations laws. The a...

Fuzzy graph structures being an application of fuzzy sets to graph structures, are profusely applicable in social science and environmental science. A neutrosophic graph structures are more flexible and precise as compared to fuzzy graph structures. They are extensively helpful in decision-making problems. In this paper, we present concept of single-valued intuitionistic neutrosophic graph stru...

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...

The present paper proposes neutrosophic soft multi-attribute decision making based on grey relational projection method. Neutrosophic soft sets is a combination of neutrosophic sets and soft sets and it is a new mathematical apparatus to deal with realistic problems in the fields of medical sciences, economics, engineering, etc. The rating of alternatives with respect to choice parameters is re...