SOMEWHAT NEUTROSOPHIC _-IRRESOLUTE CONTINUOUS MAPPINGS IN NEUTROSOPHIC TOPOLOGICAL SPACES

SOMEWHAT NEUTROSOPHIC _-IRRESOLUTE CONTINUOUS MAPPINGS IN NEUTROSOPHIC TOPOLOGICAL SPACES

A. Vadivel, C. John Sundar

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Abstract

One of the strongest form in a neutrosophic open sets is a neutrosophic  - open sets. Based on this open sets, the continuous mapping, open mapping and closed mapping functions are already de ned in neutrosophic topological spaces. Also, the extension of these mappings called somewhat neutrosophic  -continuous (open) map- ping functions are de ned in previous paper. The concept of somewhat neutrosophic  -irresolute continuous (open) mapping which is stronger than a somewhat neutrosophic  -continuous (open) mapping in a netrosophic topological spaces have been introduced and studied in this paper. Alongside, some interesting properties of those mappings are given in neutrosophic topological spaces.

Keywords

Neutrosophic  -open set, Somewhat neutrosophic  -irresolute continuous mapping, Somewhat neutrosophic irresolute  -open mapping.