A View on Connectedness and Compactness in Fuzzy Soft Bitopological Spaces

  • Abdelhamied Farrag Sayed Mathematics Department, Al-Lith University College, Umm Al-Qura University, Makkah Al Mukarramah, Kingdom of Saudi Arabia
Keywords: Soft set, Fuzzy set, Fuzzy soft set, Fuzzy soft G-metric space, Fixed point.

Abstract

In the present paper, we introduce the notions of (1, 2)∗-fuzzy soft b-separated sets, (1, 2)∗-fuzzy soft b-connectedness and (1, 2)∗-fuzzy soft b-compactness in fuzzy soft bitopological spaces. Then, some basic topological properties of these notions are investigated. Also, some illustrative examples are given to show the importance of the obtained theorems.

Author Biography

Abdelhamied Farrag Sayed, Mathematics Department, Al-Lith University College, Umm Al-Qura University, Makkah Al Mukarramah, Kingdom of Saudi Arabia
Assiocat Prof. Mathematics Department
Published
2021-08-05
Section
Nonlinear Analysis