%0 Journal Article %T Fuzzy <i>¦Ä</i>*-Continuity and Fuzzy <i>¦Ä</i>**-Continuity on Fuzzy Topology on Fuzzy Sets %A Mohammed Salih Mahdy Hussan %J Advances in Pure Mathematics %P 138-141 %@ 2160-0384 %D 2013 %I Scientific Research Publishing %R 10.4236/apm.2013.31018 %X

The concept of a fuzzy topology on a fuzzy set has been introduced in [1]. The aim of this work is to introduce fuzzy ¦Ä*-continuity and fuzzy ¦Ä**-continuity in this in new situation and to show the relationships between fuzzy continuous functions where we confine our study to some of their types such as, fuzzy ¦Ä-continuity, fuzzy continuity, after presenting the definition of a fuzzy topology on a fuzzy set and giving some properties related to it.

%K Fuzzy < %K i> %K ¦Ä< %K /i> %K *-Continuity %K Fuzzy < %K i> %K ¦Ä< %K /i> %K **-Continuity %K Quasi-Neighbourhood %K Fuzzy < %K i> %K ¦Ä< %K /i> %K -Open %K Quasi-Coincident %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=27390