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EUSFLAT
2007

Homomorphisms of Fuzzy Logic Models Based on Sets With Similarities

13 years 5 months ago
Homomorphisms of Fuzzy Logic Models Based on Sets With Similarities
We investigate interpretations ψ D of formulas ψ in a first order fuzzy logic in models D which are based on Ω-sets, i.e. sets with similarity relations with values in a complete MV-algebra Ω. These interpretations are fuzzy sets in some Ωsets. We show that if ϕ : D1 → D2 is a strong homomorphism between two models then there are also strong relationships between interpretations ψ D1 and ψ D2 . Finally, for any model D based on an Ω-set (A, δ) we construct another model S(D) based on a set S(A, δ) of all ”continuous” maps from (A, δ) to (Ω, ↔) and such that a singleton map {−} is a strong homomorphism D → S(D).
Jiri Mockor
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2007
Where EUSFLAT
Authors Jiri Mockor
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