From Mathfuzzlog
| Authors: |
|
| Title: |
T-norm based logics with n-contraction |
| Journal: |
Neural Network World |
| Volume |
12 |
| Number |
5 |
| Pages: |
441-452 |
| Year: |
2002 |
Abstract
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.
