Npn-soft sets theory and their applications

Abstract

In this paper, we flrstly deflned neutrosophic parameterized neutrosophic soft sets(npnisoft sets) which is combination of a neutro- sophic sets and a soft sets. Our npnisoft sets generalizes the concept 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 soft sets and so on. Then, we introduce some deflnitions and operations on npnisoft sets and some properties of the sets which are connected to operations have been established. Also, we have introduced the concept of npnisoft matrix and their operators which are more functional to make theoretical studies in the npnisoft set theory. Finally, we proposed the decision making method on the npnisoft set theory which can be applied to problems of many flelds that contain uncertainty and provided an example that demonstrated that this method can be successfully worked. 2010 AMS Classiflcation: 03E72, 08A72