Wθg-Closed and Wδg-Closed in [0, 1]-Topological Spaces

نویسندگان

  • Mohammed E. El-Shafei
  • A. H. Zakari
چکیده

In 1970, Levine 1 introduced the notion of generalized closed sets in topological spaces as a generalization of closed sets. Since then, many concepts related to generalized closed sets were defined and investigated. In 1997, Balasubramanian and Sundaram 2 introduced the concepts of generalized closed sets in fuzzy setting. Also, they studied various generalizations fuzzy continues mappings. Recently, El-Shafei and Zakari 3–5 introduced new types of generalized closed fuzzy sets in 0, 1 -topological spaces and studied many of their properties. Also, they studied various generalizations fuzzy continues mappings. In the present paper, we introduce the concepts of Wθg-closed fuzzy sets and Wδgclosed fuzzy sets and study some of their properties. Also, we introduce the concept of FT ∗ 3/4space. Moreover, we introduce and study the concepts of two new classes of fuzzy mappings, namely, fuzzy Wθg-continuous mappings and fuzzyWδg-irresolute mappings.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2011  شماره 

صفحات  -

تاریخ انتشار 2011