This survey paper, specifically targeted at a readership of fuzzy logicians and fuzzy set
theorists, aims to provide a gentle introduction to the basic notions of quantaloid-enriched …

There have been developed several approaches to a quantale-valued quantitative domain
theory. If the quantale Q is integral and commutative, then Q-valued domains are Q …

In this paper, the notions of geometric interval spaces, convex geometries, and base-point
orders in the theory of convexity spaces are generalized to M-fuzzifying convexity spaces …

This paper presents a comparative study of three kinds of ideals in quantale-valued order
theory: forward Cauchy ideals (generated by forward Cauchy nets), flat ideals and …

For any small quantaloid $\Q $, there is a new quantaloid $\D (\Q) $ of diagonals in $\Q $. If
$\Q $ is divisible then so is $\D (\Q) $(and vice versa), and then it is particularly interesting to …

The quantale of distance distributions is of fundamental importance for understanding
probabilistic metric spaces as enriched categories. Motivated by the categorical …

This dissertation is devoted to a study of adjunctions concerning categories enriched over a
quantaloid Q (or Q-categories for short), with the following types of adjunctions involved:(1) …

In this article, a fuzzy-approximation-based adaptive backstepping control method for dual-
arm of a humanoid robot was proposed. The purpose of this control system is to provide …

In fairly elementary terms this paper presents how the theory of preordered fuzzy sets, more
precisely quantale-valued preorders on quantale-valued fuzzy sets, is established under the …

For a small quantaloid Q, a Q-closure space is a small category enriched in Q equipped with
a closure operator on its presheaf category. We investigate Q-closure spaces systematically …