Generalized Neutrosophic Soft Set

2014

Main objective of this paper is to introduce the concept of similarity measures between two neutrosophic soft sets based on set theoretic approach and based on distance between two neutrosophic soft sets and to study some basic properties. A decision making method is established based on similarity measure between two neutrosophic sets. A decision making method is developed based on similarity measure between two neutrosophic soft sets and lastly an example is given to illustrate the proposed decision making method in a medical diagnosis problem.

Neutrosophic Sets and Systems, 2020

In this paper we study the concept of neutrosophic bipolar vague soft sets and some of its operations. It is the combination of neutrosophic bipolar vague sets and soft sets. Further we develop a decision making method based on neutrosophic bipolar vague soft set. A numerical example has been shown. Some new operations on neutrosophic bipolar vague soft set have also been designed.

– In this work, we introduce the concept of generalized interval neutrosophic soft set and study their operations. Finally, we present an application of generalized interval neutrosophic soft set in decision making problem.

Neural Computing and Applications, 2016

In recent years, soft sets and neutrosophic sets have become a subject of great interest for researchers and have been widely studied based on decision-making problems. In this paper, we propose a new concept of the soft sets that is called interval-valued neutrosophic parameterized interval-valued neutrosophic soft sets (ivnpivn-soft sets). It is a generalization of the other soft sets such as fuzzy soft sets, intuitionistic fuzzy soft sets, neutrosophic soft sets, fuzzy parameterized soft sets, intuitionistic fuzzy parameterized soft sets, neutrosophic parameterized neutrosophic soft sets. Also, we proposed ivnpivn-soft matrices which are representative of the ivnpivn-soft sets. We then developed a decision-making method on the ivnpivn-soft sets and ivnpivn-soft matrices. Then, we proposed a numerical example to verify validity and feasibility of the developed method. Finally, the proposed method is compared with several different methods to verify its feasibility.

In this work, we present definition of neutrosophic parameterized (NP) soft set and its operations.

In this paper we propose the three types of similarity measures between fuzzy neutrosophic soft sets based on value matrix of fuzzy neutrosophic soft sets. Furthermore, we demonstrate the efficiency of the proposed similarity measures through the application in decision making.

2015

In this paper we study the concept of neutrosophic soft sets. Imposing some weights on the parameters considered we introduce here weighted neutrosophic soft sets. Some operations like union, intersection, complement, AND, OR etc. have been defined on this new concept. Some properties of these newly defined operations have also been verified .

IGI Global, 2022

Single-valued neutrosophic set (SVNS) can be viewed as an instance of the neutrosophic set (NS) proposed by Smarandache in 2005 to solve real decision-making problems that contain imperfect knowledge of the domain. Embedding the idea of SVNS with the soft set (SS), a new mathematical structure known as a single-valued neutrosophic soft set (SVNSS) is introduced to model the vague concept parametrically. In this chapter, the authors introduce a new soft model, namely inverse single-valued neutrosophic soft set (ISVNSS), that can be perceived as another mathematical model which is used to solve the purposes that are just opposite in the context of SVNSS. Also, they define different properties and operators associated with ISVNSSs. Finally, by using the ISVNSSs, an algorithm has been introduced that will serve the purpose of decision-makers to solve various real decision-making problems, and it will enable to unveil another type of uncertainty domain hidden in nature. This new approach surely provides more information to the decision-makers before they make any decisions on various attributes.

2019

In this paper, we introduce the concept of soft neutrosophic classical sets and its set theoretical operations such as; union, intersection, complement, AND-product and OR-product. In addition to these concept and operations, we define four basic types of sets of degenerate elements in a soft neutrosophic classical set. Then, we propose a group decision making method based on soft neutrosophic classical sets, and give algorithm of proposed method. We also make an application of proposed method on a problem including soft neutrosophic classical data.

viXra, 2015

In this paper, a similarity measure between possibility neutrosophic soft sets (PNS-set) is dened, and its properties are studied. A decision making method is established based on proposed similarity measure. Finally, an application of this similarity measure involving the real life problem is given.