Volume 67 | Issue 4 | Year 2021 | Article Id. IJMTT-V67I4P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I4P514
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.
[1] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-189 .
[2] Hariwan Z. Ibrahim, Weak forms of γ-open sets and new separation axioms, Int. J. Sci. Eng. Res., 3(4) (2012), 1-4.
[3] B.Kalita and N.R.Das, Some Aspects of Fuzzy operations, The Journal of Fuzzy Mathematics, 19(3) (2011), 531-540.
[4] S. Kasahara, Operation-Compact spaces, Math. Japonica, 24 (1979), 97-105.
[5] C. Sivashanmugaraja, Fuzzy Pre-γ-Compact, Fuzzy Pre-γ-Connected and Fuzzy Pre-γ-Closed Spaces, Communicated.
[6] C. Sivashanmugaraja, More on Fuzzy Pre-γ-open and Fuzzy Pre-γ-generalized closed Sets, Communicated.
[7] C. Sivashanmugaraja, On Some Types of Pre-γ-Separation Axioms in Fuzzy Topological Spaces, South East J. of Mathematics and Mathematical Sciences, 17(1), (2021), 449-460.
[8] C. Sivashanmugaraja, Operation Approaches on Fuzzy Pre-γ-Open and Fuzzy Pre-γ-Closed Mappings in Fuzzy Topological Spaces, Juni Khyat, 10(8) (2020), 22-27.
[9] C. Sivashanmugaraja, Operation Approaches on Fuzzy Pre-γ-Continuity and Fuzzy Weakly Pre-γ-Continuity in Fuzzy Topological Spaces, Communicated.
[10] C. Sivashanmugaraja and A. Vadivel, Weak forms of fuzzy γ-open sets, Global Journal of Pure and Applied Mathematics, 13 (2017), 251-261.
[11] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.
C. Sivashanmugaraja, "Fuzzy Pre*-γ-Open and Fuzzy Pre*-γ-Continuity Mappings in Fuzzy Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 4, pp. 101-109, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I4P514