Title of article :
K-FLAT PROJECTIVE FUZZY QUANTALES
Author/Authors :
Lu, Jing College of Mathematics and Information Science - Shaanxi Normal Univer, China , Wang, Kaiyun College of Mathematics and Information Science - Shaanxi Normal Univer, China , Zhao, Zhao College of Mathematics and Information Science - Shaanxi Normal Univer, China
Abstract :
In this paper, we introduce the notion of {f K}-flat projective fuzzy quantales, and give an elementary characterization in terms of a fuzzy binary relation on the fuzzy quantale. Moreover, we prove that {f K}-flat projective fuzzy quantales are precisely the coalgebras for a certain comonad on the category of fuzzy quantales. Finally, we present two special cases of {f K} as examples.
Keywords :
Fuzzy quantale , Fuzzy binary relation , {bf K}-flat projective fuzzy quantale , Comonad
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
