In this paper we introduce a category X ( A ) which is a generalization of the category of lattice-valued subsets of sets Set ( JCPos ) introduced by us ...

In this paper we introduce a category X(A) which is a generalization of the category of lattice-valued subsets of sets Set(JCPos) introduced by us earlier.

Given a concrete category (A, U) over X, the paper presents a fuzzification scheme of algebraic and topological structures over the category X(A) of A-valued X- ...

Statements ; instance of · scholarly article ; title. Categories of lattice-valued sets as categories of arrows (English) ; published in · Fuzzy Sets and Systems.

Two categories of lower and upper lattice-valued F-transforms with fuzzy relations as morphisms are introduced, as generalisations of standard categories of ...

Abstract. In this paper, we study the concept of C-reticulation for the category C whose objects are lattice-valued maps. The relation between the.

Jan 20, 2023 · How do I prove uniqueness in contexts like this? Elsewhere he asks to prove a certain construct satisfies the Ω-axiom, and while I can surely ...

Aug 6, 2018 · Following the Definition 2.5 we define a category ℓ-RSYM as objects are ℓ-relational systems and arrows are continuous functions. Definition 3.5 ...

Dec 16, 2020 · An algebraic lattice is a poset which is locally finitely presentable as a category. This formulation suggests a useful way of viewing algebraic ...

Feb 28, 2021 · A lattice is a poset, a partially ordered set, in which every pair of elements has both a least upper bound and a greatest lower bound.