Abstract
The aim of the paper is to introduce and investigate the concepts of pentapartitioned neutrosophic generalized semi-closed sets and pentapartitioned neutrosophic generalized semi-open sets in pentapartitioned neutrosophic topological spaces.
Highlights
The fuzzy set was initiated by Zadeh [18] in 1965, where each element had a degree of membership
The neutrosophic set was introduced by Smarandache [16] and explained, neutrosophic set is a generalization of intuitionistic fuzzy set
For the past few years, many researchers were going on in neutrosophic topological spaces and many concepts in intuitionistic fuzzy topology were extended to neutrosophic topology
Summary
The fuzzy set was initiated by Zadeh [18] in 1965, where each element had a degree of membership. The neutrosophic set was introduced by Smarandache [16] and explained, neutrosophic set is a generalization of intuitionistic fuzzy set. They introduced neutrosophic topological space as a generalization of intuitionistic fuzzy topological space and a neutrosophic set besides the degree of membership, the degree of indeterminacy and the degree of non-membership of each element. Tioned neutrosophic semi-closed sets, pentapartitioned neutrosophic semi-interior and pentapartitioned neutrosophic semi-closure in pentapartitioned neutrosophic topological spaces were introduced by R. We introduce the definitions of pentapartitioned neutrosophic generalized semi-closed sets and pentapartitioned neutrosophic generalized semi-open sets in pentapartitioned neutrosophic topological spaces and We study some of their basic properties with examples
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