Inverse Single-Valued Neutrosophic Soft Set and Its Application

Abstract

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.