ON A WEAK FORM OF SEMI-OPEN FUNCTION BY NEUTROSOPHICATION

Abstract

In this study, a new perspective in neutrosophic topology is brought to some open set definitions in general topology and previously interpreted in different ways in some other non-standard topological spaces. Then, some types of functions and continuity are introduced using these new open sets. In addition to these, the relations between the types of open sets, which we have brought different perspectives, with the continuity and function types that we reinterpreted in neutrosophic topology, are examined and these relations are clarified by giving examples and counterexamples.

Keywords

• Neutrosophic semiopen set;
• Neutrosophic regular open set;
• Neutrosophic $\beta$-open set;
• Neutrosophic weakly open function;
• Neutrosophic almost open function;
• Neutrosophic weakly semiopen function;
• Neutrosophic $\theta$-closure;
• neutrosophic hyperconnected space

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