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  • 1 Mathematic Department Faculty of Science Tanta University Tanta Egypt
  • | 2 Mathematic Department Alfaun Faculty Education Cairo University Alfaun Cairo Egypt
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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)-T2 spaces and fuzzy Urysohn spaces are introduced and mainly their connections with fuzzy (ϑ,s)-continuity are studied.

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