W- Hausdorff Separation Axiom in Second Order Interval Valued Fuzzy Topological Spaces

Bhavani Gokila D.^1,*, Vijayalakshmi V. M.²

¹Research Scholar, Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India

²Assistant Professor, Department of Science and Humanities, School of Engineering, Avinashilingam Institute for Home Science and Higher Education for Women, India   

Emails: 19phmaf006@avinuty.ac.in; vmviji_sh@avinuty.ac.in  

Abstract

We studied and introduced a concept SIVFT then present the concept of SIVF subspace and SIVF product topology in SIVF topological spaces. W-Hausdorff Separation Axiom in SIVF topological spaces and its basics are studied.

Keywords: IVF set (IVFs); IVF topology (IVFT); Second order fuzzy set (SFs); Second order fuzzy topology (SFT); Second order IVF set (SIVFs); Second order IVF topology (SIVFT); SIVF subspace; SIVFW-Hausdorff space