A survey of fuzzy set and topos theory
From MaRDI portal
Publication:1175730
DOI10.1016/0165-0114(91)90085-5zbMath0738.04002OpenAlexW2009744588MaRDI QIDQ1175730
Publication date: 25 June 1992
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0165-0114(91)90085-5
Heyting algebraCartesian closed categorytopos theoryquasitoposHeyting-valued modelmany-valued mathematicscategorical foundations of fuzzy set theory
Related Items
MV-algebras as sheaves of \(\ell\)-groups on fuzzy topological spaces, The set-valued mapping based on ample fields, Universes of fuzzy sets and axiomatizations of fuzzy set theory. II: Category theoretic approaches, A general theory of fuzzy topological spaces, Preordered sets valued in a GL-monoid, An extension of Stone duality to fuzzy topologies and MV-algebras, Implication structures, fuzzy subsets, and enriched categories, Foundations of fuzzy sets, Complete Subobjects of Fuzzy Sets Over MV-Algebras, Compactness in MV-topologies: Tychonoff theorem and Stone-Čech compactification, \(U\)-Sets as a possibilistic set theory, Similarities between powersets of terms, Categories of fuzzy sets and weak topos, On the category \(\mathcal {S}et(\mathcal {JCP}os)\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A category-theoretic approach to Boolean-valued models of set theory
- Topoi and categories of fuzzy sets
- Fuzzy conditional inference under max-o composition
- On some logical connectives for fuzzy sets theory
- Quasitopoi, logic and Heyting-valued models
- Fuzzy power sets and fuzzy implication operators
- Topoi. The categorial analysis of logic
- Fuzzy sets: A topos-logical point of view
- Some aspects of the category of subobjects of constant objects in a topos
- A class of fuzzy theories
- Fuzzy sets do not form a topos
- A category-theoretic approach to systems in a fuzzy world
- Fuzzy subobjects in a category and the theory of \(\mathcal C\)-sets
- Completeness results for intuitionistic and modal logic in a categorical setting
- Topos theory and Souslin's hypothesis
- L-fuzzy sets
- Injectivity in the Topos of Complete Heyting Algebra Valued Sets
- Fuzzy Set Theory and Topos Theory
- Metric spaces, generalized logic, and closed categories
- Colimits in Topoi
- Aspects of topoi