Pentapartitioned Neutrosophic Topological Space

The main focus of this study is to present the notions of pentapartitioned neutrosophic topological space. We introduce the notions of closure and interior operator of pentapartitioned neutrosophic sets in pentapartitioned neutrosophic topological space, and investigate some of their basic properties. Further, we define pentapartitioned neutrosophic pre-open (in short P-NPO) set, pentapartitioned neutrosophic semi-open (in short P-NSO) set, pentapartitioned neutrosophic b-open (in short P-N-b-O) set and pentapartitioned neutrosophic [alpha]-open (in short P-N[alpha]-O) set via pentapartitioned neutrosophic topological spaces. By defining P-NPO set, P-NSO set, P-N-b-O set, P-N[alpha] -O set, we furnish some suitable examples and formulate some basic results on pentapartitioned neutrosophic topological spaces. Keywords: Neutrosophic Set; Pentapartitioned Neutrosophic Set; P-NPO; P-NSO; P-N-b-O; P-N[alpha]-O.