F- γ-open sets and F- γ-continuity in fuzzy bitopological spaces

• Published in: Applied mathematics and computation Vol. 153; no. 1; pp. 117 - 126
• Main Authors: Mahmoud, F.S, Fath Alla, M.A, Khalaf, M.M
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 25.05.2004; Elsevier
• Subjects: Exact sciences and technology; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Sciences and techniques of general use; Concept; Numerical analysis; F space; Fuzzy set; Applied mathematics; Characteristic
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/S0096-3003(03)00615-5

In this paper, we firstly introduce the concept of ( δ i , δ j )-F- γ-open (resp., ( δ i , δ j )-F- γ-closed) set which is weaker than each of the concepts of ( δ i , δ j )-F-semiopen (( δ i , δ j )-F-semiclosed) set or ( δ i , δ j )-F-preopen (( δ i , δ j )-F-preclosed) set. We study their properties and discuss the relationships between these concepts and relevant concepts in F-bitopological spaces. Using this new notion, we define the F-p γ-continuity as a generalization of F-pairwise semicontinuity [Fuzzy Sets Syst. 64 (1994) 421] and F-pairwise precontinuity [Fuzzy Sets Syst. 62 (1994) 231], and establish their various characteristic properties.