International Journal of Mathematics Trends and Technology
Volume 65 | Issue 8 | Year 2019 | Article Id. IJMTT-V65I8P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I8P513
“Mathematics is the supreme judge; from its decisions there is no appeal” -Tobias Danzig, Chapter 1 is devoted to the study of Preliminaries on semi open sets and semi continuous functions. Chapter 2 is devoted to the study of μ-open sets. In section one of chapter 2; we study Properties and characterization of μ-open sets and relations between regular open sets, μ-open sets and semi open sets. In section two of chapter 2, we study μ-adherent, μ-closure of a subset A of a topological space, μ-irresolute function between topological spaces and equivalence relation μ-correspondence on the set of a topologies of a set X. Chapter 3 is devoted to generalize the concept of fuzzy μ-open sets. In section one of chapter 3, preliminary results on fuzzy sets and fuzzy topological spaces that are needed for our study are collected. In Section two of chapter 3 is devoted to extend μ-open sets to fuzzy situation. We study properties and characterization of fuzzy μ-open sets.
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M.Anitha Nambikai Mary, Ms. R.Suganya, "To The Study of Preliminaries on Semi Open Sets And Semi Continuous Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 8, pp. 118-130, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I8P513
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