Fuzzy M–open and Fuzzy M–Closed Mappings in Šostak’s Fuzzy Topological Spaces
S. Bamini1, M. Saraswathi2, B. Vijayalakshmi3, A. Vadivel4
1S. Bamini, Department of Mathematics, Kandaswamy Kandar’s College, P-Velur (Tamil Nadu), India.
2M. Saraswathi, Department of Mathematics, Kandaswamy Kandar’s College, P-Velur (Tamil Nadu), India.
3B. Vijayalakshmi, Department of Mathematics, Government Arts College, Chidambaram (Tamil Nadu), India.
4Vadivel, Department of Mathematics, Government Arts College (Autonomous), Karur (Tamil Nadu), India.
Manuscript received on 01 May 2019 | Revised Manuscript received on 15 May 2019 | Manuscript published on 30 May 2019 | PP: 1661-1668 | Volume-8 Issue-7, May 2019 | Retrieval Number: G1010058719/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: We introduce and investigate some new classes of mappings called fuzzy M-open map and fuzzy M-closed map to the fuzzy topological spaces in Šostak’s sense. Also, some of their fundamental properties are studied. Moreover, we investigate the relationships between fuzzy open, fuzzy θ-semiopen, fuzzyθ-open, fuzzy δ-semiopen, fuzzy δ-preopen, fuzzy α-open, fuzzy M-open, fuzzy e-open and fuzzy e*-open mappings.
Keyword: Fuzzy Open, Fuzzy θ-Semiopen, Fuzzy θ– Open, Fuzzy δ-Semiopen, Fuzzy δ-Preopen, Fuzzy α-Open, Fuzzy M-Open, Fuzzy e-Open and Fuzzy e*-Open Mappings.
Scope of the Article: Fuzzy Logics.