Categories of lattice-valued sets as categories of arrows

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 2
Cited 5

Abstract and concrete categories

Abstract and concrete categories
On the category Set(JCPos)

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

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

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

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

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Fuzzy algebras as a framework for fuzzy topology

Fuzzy Sets and Systems

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Abstract

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. We show the necessary and sufficient conditions for X(A) to be topological over XxA.