Open AccessFuzzy bicompletable quasi-fuzzy distance space
Author(s) -
Jehad R. Kider,
Aisha J. Hassan
Publication year - 2016
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v5i2.5595
Subject(s) - mathematics , fuzzy logic , space (punctuation) , fuzzy subalgebra , fuzzy mathematics , fuzzy classification , fuzzy number , fuzzy set operations , fuzzy set , discrete mathematics , artificial intelligence , computer science , operating system
In this paper we introduce the definition of quasi-fuzzy distance space then we discuss several properties of this space after we give an example to illustrate this notion. Then we show that the existence of a quasi-fuzzy distance space which is not fuzzy bicompletable. Here we prove that every fuzzy bicompletable quasi-fuzzy distance space admits a unique [up to fuzzy isodistance] fuzzy a bicompletion.