نتایج جستجو برای: gl quantale

تعداد نتایج: 6924  

Journal: :Journal of Pure and Applied Algebra 2012

In this paper, we characterize local $T_{0}$ and $T_{1}$ quantale-valued gauge spaces, show how these concepts are related to each other and apply them to $mathcal{L}$-approach distance spaces and $mathcal{L}$-approach system spaces. Furthermore, we give the characterization of a closed point and $D$-connectedness in quantale-valued gauge spaces. Finally, we compare all these concepts to each o...

K. El-Saady

The purpose of this paper is to construct a weak hyper semi-quantale as a generalization of the concept of semi-quantale and used it as an appropriate hyperlattice-theoretic basis to formulate new lattice-valued topological theories. Based on such weak hyper semi-quantale, we aim to construct the notion of a weak hypervalued-topology as a generalized form of the so-called lattice-valued t...

Journal: :Fundam. Inform. 2009
Pawel Waszkiewicz

This paper is about a generalization of Scott’s domain theory in such a way that its definitions and theorems become meaningful in quasimetric spaces. The generalization is achieved by a change of logic: the fundamental concepts of original domain theory (order, way-below relation, Scott-open sets, continuous maps, etc.) are interpreted as predicates that are valued in an arbitrary completely d...

Journal: :Science China Information Sciences 2014

2010
Walter Tholen

For a monad S on a categoryK whose Kleisli category is a quantaloid, we introduce the notion of modularity, in such a way that morphisms in the Kleisli category may be regarded as V(bi)modules (= profunctors, distributors), for some quantale V . The assignment S // V is shown to belong to a global adjunction which, in the opposite direction, associates with every (commutative, unital) quantale ...

Journal: :J. Log. Comput. 2010
Ciro Russo

The central topic of this work is the categories of modules over unital quantales. The main categorical properties are established and a special class of operators, called Qmodule transforms, is defined. Such operators — that turn out to be precisely the homomorphisms between free objects in those categories — find concrete applications in two different branches of image processing, namely fuzz...

Journal: :Fuzzy Sets and Systems 2014
Yuanye Tao Hongliang Lai Dexue Zhang

Each divisible and unital quantale is associated with two quantaloids. Categories enriched over these two quantaloids can be regarded respectively as crisp sets endowed with fuzzy preorders and fuzzy sets endowed with fuzzy preorders. This paper deals with the relationship between these two kinds of enriched categories. This is a special case of the change-base issue in enriched category theory...

Journal: :Journal of Logic and Computation 2008

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