A new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness in L-fuzzy pretopological spaces

Abstract

This paper presents a new representation of α-openness, α-continuity, α-irresoluteness, and α-compactness based on L-fuzzy α-open operators introduced by Nannan and Ruiying [1] and implication operation. The proposed representation extends the properties of α-openness, α-continuity, α-irresoluteness, and α-compactness to the setting of L-fuzzy pretopological spaces based on graded concepts. Moreover, we introduce and establish the relationships among the new concepts.

Keywords

• l-fuzzy pretopology
• l-fuzzy α-open operator
• l-fuzzy α-openness degree
• l-fuzzy α-continuty degree
• l-fuzzy α-irresolutness degree
• l-fuzzy α-compactness degree
• 03e72
• 54a40
• 54c20