A notion of Quadripartitioned Single Valued Neutrosophic Sets (QSVNS) is introduced and a theoretical study on various set-theoretic operations on them has been carried out. The definitions of distance, similarity measure and entropy have been proposed. Finally an application of the proposed similarity measure in a problem pertaining to pattern recognition has been shown.

In recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest for researchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems. In this paper, multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacymembership and falsity-membership degree have a set of crisp valu...

Transportation problem (TP) has its uses in real life because it versatile applications. Real-life problems are often uncertain due to which is difficult find the accurate cost. The fuzzy set and intuitionistic useful for handling uncertainty, but these also have some limitations. For that reason, this study, we worked on another of values called bipolar single-valued neutrosophic (BSNS) genera...

Multi-attribute decision making (MADM). Play an important role in many applications, due to the efficiency to handle indeterminate and inconsistent information, single valued neutrosophic sets is widely used to model indeterminate information. In this paper, a new MADM method based on neutrosophic trapezoid linguistic weighted arithmetic averaging aggregation SVNTrLWAA operator and neutrosophic...

The concept of a single valued neutrosophic number (SVN-number) is of importance for quantifying an ill-known quantity and the ranking of SVN-numbers is a very difficult problem in multi-attribute decision making problems. The aim of this paper is to present a methodology for solving multi-attribute decision making problems with SVN-numbers. Therefore, we firstly defined the concepts of cut set...

The paper presents three variants for multi-valued representation of neutrosophic information. These three representations are provided in the framework of multi-valued logics and it provides some calculation formulae for the following neutrosophic features: truth, falsity, neutrality, undefinedness, saturation, contradiction, ambiguity. In addition, it was defined net-truth, definedness, neutr...