CONNECTING T AND LATTICE-VALUED CONVERGENCES

LATTICE-VALUED CATEGORIES OF LATTICE-VALUED CONVERGENCE SPACES

We study L-categories of lattice-valued convergence spaces. Suchcategories are obtained by fuzzifying" the axioms of a lattice-valued convergencespace. We give a natural example, study initial constructions andfunction spaces. Further we look into some L-subcategories. Finally we usethis approach to quantify how close certain lattice-valued convergence spacesare to being lattice-valued topologi...

ON STRATIFIED LATTICE-VALUED CONVERGENCE SPACES

In this paper we provide a common framework for different stratified $LM$-convergence spaces introduced recently. To this end, we slightly alter the definition of a stratified $LMN$-convergence tower space. We briefly discuss the categorical properties and show that the category of these spaces is a Cartesian closed and extensional topological category. We also study the relationship of our cat...

Connecting Physical Resonant Amplitudes and Lattice QCD

Remarks on completeness of lattice-valued Cauchy spaces

We study different completeness definitions for two categories of lattice-valued Cauchy spaces and the relations between these definitions. We also show the equivalence of a so-called completion axiom and the existence of a completion.

Lattice-Valued Binary Decision Diagrams

This work introduces a new data structure, called Lattice-Valued Binary Decision Diagrams (or LVBDD for short), for the compact representation and manipulation of functions of the form θ : 2 7→ L, where P is a finite set of Boolean propositions and L is a finite distributive lattice. Such functions arise naturally in several verification problems. LVBDD are a natural generalisation of multi-ter...

Lattice-Valued Possibilistic Entropy Functions

Lattice-valued entropy functions defined by a lattice-valued possibilistic distribution π on a space Ω are defined as the expected value (in the sense of Sugeno integral) of the complement of the value π(ω) with ω ranging over Ω. The analysis is done in parallel for two alternative interpretations of the notion of complement in the complete lattice in question. Supposing that this complete latt...