Fuzzy topologies and topological space objects in a topos
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Fuzzy Sets and Systems
Fuzzy normal subgroups and fuzzy quotients
Fuzzy Sets and Systems
Free fuzzy groups and fuzzy group presentations
Fuzzy Sets and Systems
Product structure of the fuzzy factor groups
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Generating fuzzy factor groups and the fundamental theorem of isomorphism
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Membership functions for a fuzzy group from similarity relations
Fuzzy Sets and Systems
A similarity-based generalization of fuzzy orderings preserving the classical axioms
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A note on the hypergraph functor
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Fuzzy Sets and Systems
Similarity relations and fuzzy orderings
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Fuzzy sets and sheaves. Part I
Fuzzy Sets and Systems
Fuzzy sets and geometric logic
Fuzzy Sets and Systems
Implication structures, fuzzy subsets, and enriched categories
Fuzzy Sets and Systems
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Fuzzy Sets and Systems
Ambiguous representations as fuzzy relations between sets
Fuzzy Sets and Systems
Generalized fuzzy topology versus non-commutative topology
Fuzzy Sets and Systems
Preordered sets valued in a GL-monoid
Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
Isomorphisms of fuzzy sets and cut systems
IWANN'13 Proceedings of the 12th international conference on Artificial Neural Networks: advances in computational intelligence - Volume Part I
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This essay shows that large parts of fuzzy set theory are actually subfields of sheaf theory, resp. of the theory of complete @W-valued sets. Hence fuzzy set theory is closer to the mainstream in mathematics than many people would expect. Part II of this series of two papers explains the sheaf-theoretic basis of Zadeh's operations on fuzzy sets (with the exception of the complementation). Further, the quotient problem w.r.t. similarity relations and the quotient problem of fuzzy groups w.r.t. fuzzy congruence relations are solved. Finally, stratified fuzzy topologies are identified with internal topologies on constant sheaves.