|Title||T-norm Based Logics With n-Contraction|
|Publication Type||Journal Article|
|Year of Publication||2002|
|Authors||Ciabattoni A, Esteva F, Godo L|
|Journal||Neural Network World|
We consider two families of fuzzy propositional logics obtained by extending MTL and IMTL with the n-contraction axiom, for n>=2. These logics - called Cn-MTL and Cn-IMTL - range from Gödel and classical logic (when n=2) to MTL and IMTL (when n tends to infinity), respectively. We investigate the t-norm based semantics and the proof theory for Cn-MTL and Cn-IMTL. We show standard completeness and suitable analytic hipersequent calculi for them.
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