SOMEWHAT NEUTROSOPHIC [delta]-IRRESOLUTE CONTINUOUS MAPPINGS IN NEUTROSOPHIC TOPOLOGICAL SPACES

One of the strongest form in a neutrosophic open sets is a neutrosophic [delta]-open sets. Based on this open sets, the continuous mapping, open mapping and closed mapping functions are already defined in neutrosophic topological spaces. Also, the extension of these mappings called somewhat neutroso...

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Published inTWMS journal of applied and engineering mathematics Vol. 13; no. 2; p. 773
Main Authors Vadivel, A, Sundar, C. John
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.04.2023
Elman Hasanoglu
Subjects
Continuity (mathematics)
Fuzzy sets
Mapping
Mathematical research
Mathematics
Set theory
Topological spaces
Topology
India
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ISSN2146-1147
2146-1147

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Abstract One of the strongest form in a neutrosophic open sets is a neutrosophic [delta]-open sets. Based on this open sets, the continuous mapping, open mapping and closed mapping functions are already defined in neutrosophic topological spaces. Also, the extension of these mappings called somewhat neutrosophic [delta]-continuous (open) mapping functions are defined in previous paper. The concept of somewhat neutrosophic [delta]-irresolute continuous (open) mapping which is stronger than a somewhat neutrosophic [delta]-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 [delta]-open set, Somewhat neutrosophic [delta]-irresolute continuous mapping, Somewhat neutrosophic irresolute [delta]-open mapping. AMS Subject Classification: 03E72, 54A05, 54A10.
AbstractList One of the strongest form in a neutrosophic open sets is a neutrosophic [delta]-open sets. Based on this open sets, the continuous mapping, open mapping and closed mapping functions are already defined in neutrosophic topological spaces. Also, the extension of these mappings called somewhat neutrosophic [delta]-continuous (open) mapping functions are defined in previous paper. The concept of somewhat neutrosophic [delta]-irresolute continuous (open) mapping which is stronger than a somewhat neutrosophic [delta]-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.
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.
One of the strongest form in a neutrosophic open sets is a neutrosophic [delta]-open sets. Based on this open sets, the continuous mapping, open mapping and closed mapping functions are already defined in neutrosophic topological spaces. Also, the extension of these mappings called somewhat neutrosophic [delta]-continuous (open) mapping functions are defined in previous paper. The concept of somewhat neutrosophic [delta]-irresolute continuous (open) mapping which is stronger than a somewhat neutrosophic [delta]-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 [delta]-open set, Somewhat neutrosophic [delta]-irresolute continuous mapping, Somewhat neutrosophic irresolute [delta]-open mapping. AMS Subject Classification: 03E72, 54A05, 54A10.
Audience Academic
Author Vadivel, A
Sundar, C. John
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Snippet One of the strongest form in a neutrosophic open sets is a neutrosophic [delta]-open sets. Based on this open sets, the continuous mapping, open mapping and...
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...
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SubjectTerms Continuity (mathematics)
Fuzzy sets
Mapping
Mathematical research
Mathematics
Set theory
Topological spaces
Topology
Title SOMEWHAT NEUTROSOPHIC [delta]-IRRESOLUTE CONTINUOUS MAPPINGS IN NEUTROSOPHIC TOPOLOGICAL SPACES
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