Article ID Journal Published Year Pages File Type
391276 Fuzzy Sets and Systems 2006 7 Pages PDF
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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Physical Sciences and Engineering Computer Science Artificial Intelligence