Periodica Mathematica Hungarica

, Volume 26, Issue 1, pp 31–42 | Cite as

Fuzzy (Θ, S)-continuity and fuzzy (Θ, S)-closed graphs

  • M. E. Abd El-Monsef
  • I. M. Hanafy
  • S. N. El-Deeb


The concept of (ϑ,s)-continuity [6] is considered and studied in fuzzy setting. It is seen that althought it is independent with each of the concepts of fuzzy continuity [2], fuzzy σ-continuity [10], fuzzy almost continuity [1] and fuzzy semicontinuity [1]; it implies fuzzy weak continuity [1], but the converse may not be true. The image of a compact fts [2] under a fuzzy (ϑ,s)-continuous surjective function isS-closed [5]. Finally the concepts of fuzzy (ϑ,s)-closed graphs, fuzzy (ϑ,s)-T 2 spaces and fuzzy Urysohn spaces are introduced and mainly their connections with fuzzy (ϑ,s)-continuity are studied.

Mathematics subject classification numbers, 1991

Primary. 54A40 Secondary 54C10 

Key words and phrases

Fuzzy topological spaces Compactness S-closeness and fuzzy continuities 


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Copyright information

© Akadémiai Kiadó 1993

Authors and Affiliations

  • M. E. Abd El-Monsef
    • 1
  • I. M. Hanafy
    • 1
  • S. N. El-Deeb
    • 2
  1. 1.Mathematic Department Faculty of ScienceTanta UniversityTantaEgypt
  2. 2.Mathematic Department Alfaun Faculty EducationCairo UniversityCairoEgypt

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