We present several decision algorithms within the fuzzy propositional logic based on Zadeh's implication operator p -> q = max{1-p, q}, deciding both the fuzzy SAT problem as well as the best truth value bound problem, i.e. compute the best truth value bounds of a proposition with respect to a theory. Further, we evaluate all the algorithms by adapting and extending the well know methods for evaluating SAT decision algorithms. We show that both problems present the typical easy-hard-easy pattern.

Reasoning and experimenting within Zadeh's fuzzy propositional logic

Straccia U
2000

Abstract

We present several decision algorithms within the fuzzy propositional logic based on Zadeh's implication operator p -> q = max{1-p, q}, deciding both the fuzzy SAT problem as well as the best truth value bound problem, i.e. compute the best truth value bounds of a proposition with respect to a theory. Further, we evaluate all the algorithms by adapting and extending the well know methods for evaluating SAT decision algorithms. We show that both problems present the typical easy-hard-easy pattern.
2000
Istituto di Scienza e Tecnologie dell'Informazione "Alessandro Faedo" - ISTI
Fuzzy propositional logic
Fuzzy satisfiability problem
Best truthvalue bound problem
Experiments on random fuzzy 3-SAT sep phase-transition
Mechanical theorem proving
Deduction (e.g.
natural
rule based)
Representation languages
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/366299
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