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Neutrosophic Sets and Systems

Abstract

Soft set (SS) and neutrosophic set (NS) are important mathematical concepts to deal with uncertainty. NS was further extended to pentapartitioned neutrosophic set (PNS) to deal with uncertainty comprehensively. In order to expand the concept of single-valued pentapartitioned neutrosophic set (SVPNS) and SS, the paper aims to introduce the concept of single-valued pentapartitioned neutrosophic soft set (SVPNS-Set) by adding the ideas of SS and SVPNS together. Furthermore, based on SVPNS-Set, several definitions, examples, properties, propositions and theorems have been established.

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