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Dedekind categories with cutoff operators
- Source :
-
Fuzzy Sets & Systems . Jun2011, Vol. 173 Issue 1, p1-24. 24p. - Publication Year :
- 2011
-
Abstract
- Abstract: Dedekind categories provide a suitable categorical framework for lattice-valued binary relations. It is known that the notion of crispness cannot be described by the basic tools of this theory only. In this paper we will study Dedekind categories with a cutoff operator in order to circumvent this shortage. We will introduce and investigate the properties of the operator and its relationship with other tools previously used for the same purpose. The main result of this paper is a representation theorem for Dedekind categories with a cutoff operator satisfying the point axiom. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 173
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 60157574
- Full Text :
- https://doi.org/10.1016/j.fss.2010.11.008