Open AccessThe Continuity of Fuzzy Metric Spaces
Author(s) -
Mohammed Rasheed
Publication year - 2021
Publication title -
electronics science technology application
Language(s) - English
Resource type - Journals
eISSN - 2251-2608
pISSN - 2424-8460
DOI - 10.18686/esta.v7i4.132
Subject(s) - mathematics , fuzzy logic , uniform continuity , fuzzy number , fuzzy subalgebra , metric (unit) , fuzzy mathematics , fuzzy classification , continuous function (set theory) , fuzzy set operations , discrete mathematics , fuzzy set , metric space , function (biology) , computer science , artificial intelligence , engineering , operations management , evolutionary biology , biology
In the present paper, the definitions of a fuzzy continuous function and uniformly fuzzy continuous are introduced. we prove that a function from a fuzzy metric space ( ) into a fuzzy metric space ( ) is fuzzy continuous if and only if for every fuzzy open subset of , is fuzzy open in . Also the composition function of two uniformly fuzzy continuous functions is proved to be a uniformly fuzzy continuous function.