Generalized closed fuzzy soft sets in Čech fuzzy soft closure spaces

Abstract

In this paper, we present the concept of generalized closed fuzzy soft sets in the Čech fuzzy soft closure spaces, termed g-closed fss’s, and investigate their basic properties. By using g-closed fss’s, we define a new fuzzy soft closure operator which is generates a new fuzzy soft topology finer than that induced from the Čech fuzzy soft closure operator. In addition, we define generalized Čech fuzzy soft continuous (respectively, irresolute) mapping by means of g-closed fss’s. As application of these sets, -Čech fuzzy soft closure spaces are introduced and discuses.

Subject Classification:

• 54A40
• 54A10
• 06B05
• 06D72

Keywords:

• Čech fuzzy soft closure space
• generalized closed fuzzy soft set
• fuzzy soft topology
• generalized Čech fuzzy soft continuous (irresolute) mapping