On the category Set(JCPos)

Authors:
Sergey A. Solovyov
Affiliations:
Department of Mathematics, University of Latvia, 19 Raina Blvd., Riga LV-1586, Latvia
Venue:
Fuzzy Sets and Systems
Year:
2006

Citing 3
Cited 11

Abstract and concrete categories

Abstract and concrete categories
Foundations of fuzzy sets

Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
A survey of fuzzy set and topos theory

Fuzzy Sets and Systems - Special issue on mathematical aspects of fuzzy sets

On a generalization of Goguen's category Set(L)

Fuzzy Sets and Systems
On ordered categories as a framework for fuzzification of algebraic and topological structures

Fuzzy Sets and Systems
A categorical semantics for fuzzy predicate logic

Fuzzy Sets and Systems
Relationship of algebraic theories to powersets over objects in Set and Set×C

Fuzzy Sets and Systems
Categories of lattice-valued sets as categories of arrows

Fuzzy Sets and Systems
Necessity of non-stratified and anti-stratified spaces in lattice-valued topology

Fuzzy Sets and Systems
Fuzzy algebras as a framework for fuzzy topology

Fuzzy Sets and Systems
Categorical foundations of variety-based topology and topological systems

Fuzzy Sets and Systems
Sobriety and spatiality in categories of lattice-valued algebras

Fuzzy Sets and Systems
Categorically algebraic topology versus universal topology

Fuzzy Sets and Systems
On fuzzification of topological categories

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.21

Visualization

Abstract

Category Set(JCPos) of lattice-valued subsets of sets is introduced and studied. We prove that it is topological over SetxJCPos and show its ''natural'' coalgebraic subcategory.