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Neutrosophic Sets and Systems

Abstract

In this article, the concept of Interval valued pentapartitioned neutrosophic soft set (IVPNSS) has been introduced, which is a hybrid method by combining Pentapartitioned Neutrosophic set and Interval valued soft set. IVPNSS is an ordered pair of a function and an interval valued pentapartitioned neutrosophic set, which is the domain of the function and co-domain is the assembly of all the interval valued pentapartitioned neutrosophic sets (IVPNS). Additionally, some basic operations on IVPNSSs have been defined which plays an imperative role in decision making processes. Some useful properties of IVPNSS are also presented in the article. In the end, the article addresses the strength and drawbacks of the proposed method and the concluding remarks are presented to signify the future scope in this area.

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