Kandil, A.; Kerre, E. E.; Nouh, A. A.; El-Shafei, M. E. Generalized mappings between fuzzy topological spaces. (English) Zbl 0781.54006 Math. Pannonica 3, No. 2, 59-71 (1992). Summary: In a previous paper [Ann. Soc. Sci. Brux., Sér. I 105, No. 4, 167-188 (1991; Zbl 0761.54003)] we introduced and studied the concept of \(\varphi\)-operation on a fuzzy topology \(\tau\) on a set \(X\). In this paper we introduce the concept of fuzzy \(\varphi\psi\)-continuous mappings which generalizes most forms of fuzzy continuity. Also we introduce the concept of fuzzy \(\varphi\psi\)-open (fuzzy \(\varphi\psi\)-closed) mappings in which fuzzy open (fuzzy closed) and fuzzy homeomorphism, fuzzy \(\theta\)-open (fuzzy \(\theta\)-closed) and fuzzy \(\delta\)-open (fuzzy \(\delta\)-closed) become special cases. Then we introduce the concept of fuzzy \(\varphi\psi\)-homeomorphism, generalizing the concepts of fuzzy homeomorphism, fuzzy \(\theta\)-homeomorphism and fuzzy \(\delta\)- homeomorphism. Finally, we prove that these concepts are good extensions. Cited in 2 Documents MSC: 54A40 Fuzzy topology 54C08 Weak and generalized continuity Keywords:\(\varphi\)-operation; fuzzy \(\varphi\psi\)-continuous mappings; fuzzy continuity; fuzzy \(\varphi\psi\)-homeomorphism Citations:Zbl 0761.54003 PDFBibTeX XMLCite \textit{A. Kandil} et al., Math. Pannonica 3, No. 2, 59--71 (1992; Zbl 0781.54006) Full Text: EuDML