Fuzzy Pre*-γ-Open and Fuzzy Pre*-γ-Continuity Mappings in Fuzzy Topological Spaces

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-4
Year of Publication : 2021
Authors : C. Sivashanmugaraja
  10.14445/22315373/IJMTT-V67I4P514

MLA

MLA Style: C. Sivashanmugaraja  "Fuzzy Pre*-γ-Open and Fuzzy Pre*-γ-Continuity Mappings in Fuzzy Topological Spaces" International Journal of Mathematics Trends and Technology 67.4 (2021):101-109. 

APA Style: C. Sivashanmugaraja(2021). Fuzzy Pre*-γ-Open and Fuzzy Pre*-γ-Continuity Mappings in Fuzzy Topological Spaces International Journal of Mathematics Trends and Technology, 101-109.

Abstract
In topology, an open mapping is a function between two topological spaces that the image of an open set is an open. On the other hand, a continuous map is a continuous function between two topological spaces that the preimage of an open set is an open. Sivashanmugaraja introduced the concepts of fuzzy pre* -γ -continuous mappings in fuzzy topological spaces. In this paper, we formulate a definition of fuzzy pre* -γ-open mapping and fuzzy super pre-γ-open mapping in fuzzy topological spaces via pre-γ-open fuzzy sets. Also we study composite on these mappings. Moreover, we investigate relationships among these mappings and also prove some properties and theorems.

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Keywords : Fuzzy topology, Fuzzy pre-γ-open, Fuzzy pre-γ-open,Fuzzy super pre-γ-open, Fuzzy pre-γ-continuous.