Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
391276 | Fuzzy Sets and Systems | 2006 | 7 Pages |
Abstract
Firstly, a sufficient and necessary condition is given to decide whether the lattice operations of a WNM-chain can be definable from its other operations. Secondly, we show that it is indeed necessary to introduce the min-conjunction into MTL as a primitive connective by constructing a left-continuous t-norm such that in the propositional calculus defined by this t-norm the min-conjunction and max-disjunction are not definable from the strong conjunction, implication and truth constant .
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