In this paper, we have introduced a new concept of multi-dimensional neutrosophic soft sets together with various operations, properties and theorems on them. Then we have proposed an algorithm named DNS  2 based on our proposed two-dimensional neutrosophic soft set for solving neutrosophic multi-criteria assignment problems with multiple decision makers. At last, we have applied the DNS  2 A...

Neutrosophic approaches in logics and computing have been proposed by Smarandache and interesting developments were obtained by many researchers around the world. Not only algebraic structures, topology, statistics, and logics already benefited by the new interpretation, but also many fields of computer science: image analysis, neutrosophic databases, neutrosophic cognitive maps etc. This paper...

Essentially the data and documents on the Web are heterogeneous; inconsistency is unavoidable in Web mining. Using the presentation and reasoning method of our method, it is easier to capture imperfect information on the Web which will provide more potentially valued-added information. We introduce the concept of total neutrosophic relation with a new type of Functional dependency for the searc...

In this paper we present the N-norms/Nconorms in neutrosophic logic and set as extensions of Tnorms/T-conorms in fuzzy logic and set. Then we show some applications of the neutrosophic logic to robotics. I. DEFINITION OF NEUTROSOPHIC SET Let T, I, F be real standard or non-standard subsets of ]0, 1[, with sup T = t_sup, inf T = t_inf, sup I = i_sup, inf I = i_inf, sup F = f_sup, inf F = f_inf, ...

We firstly present definitions and properties in study of Maji [11] on neutrosophic soft sets. We then give a few notes on his study. Next, based on Çağman [4], we redefine the notion of neutrosophic soft set and neutrosophic soft set operations to make more functional. By using these new definitions we construct a decision making method and a group decision making method which selects a set of...

In 2014, Broumi et al. (S. Broumi, F. Smarandache, M. Dhar, Rough neutrosophic sets, Italian Journal of Pure and Applied Mathematics, 32 (2014), 493-502.) introduced the notion of rough neutrosophic set by combining neutrosophic sets and rough sets, which has been a mathematical tool to deal with problems involving indeterminacy and incompleteness. The real world is full of indeterminacy. Natur...

Neutrosophic set is very useful to express uncertainty,impreciseness, incompleteness and inconsistency in a more general way.It is prevalent in real life application problems to express both indeterminate and inconsistent information.This paper focuses on introducing a new similarity measure in the neutrosophic environment.Similarity measure approach can be used in ranking the alternatives and ...

The simplified neutrosophic set (SNS) is a useful generalization of the fuzzy set 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 develop a series of power aggregation operators called simplified neutrosophic number power weighted averaging (SNNPWA) ...

Image segment is an important step in image processing, pattern recognition and computer vision. Numerous algorithms have been proposed to in this field for last twenty years. However, a generalized segmentation method, especial for noisy image, are not studied greatly. A neutrosophic set (NS), a part of neutrosophy theory, studies the origin, nature, and scope of neutralities, as well as their...