%0 Journal Article
%T QUANTALE-VALUED GAUGE SPACES
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Jager, Gunther
%A Yao, Wei
%D 2018
%\ 03/01/2018
%V 15
%N 1
%P 103-122
%! QUANTALE-VALUED GAUGE SPACES
%K $L$-gauge space
%K $L$-approach space
%K $L$-metric space
%K Continuity space
%R 10.22111/ijfs.2018.3581
%X We introduce a quantale-valued generalization of approach spaces in terms of quantale-valued gauges. The resulting category is shown to be topological and to possess an initially dense object. Moreover we show that the category of quantale-valued approach spaces defined recently in terms of quantale-valued closures is a coreflective subcategory of our category and, for certain choices of the quantale, is even isomorphic to our category. Finally, the category of quantale-valued metric spaces is shown to be coreflectively embedded in our category.
%U http://ijfs.usb.ac.ir/article_3581_e2cdd171cdf1a1b1c5932b122c4123ba.pdf