COMMUTATIVE IMPLICATIONS ON COMPLETE LATTICES
- 1 September 1994
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
- Vol. 2 (3) , 333-341
- https://doi.org/10.1142/s0218488594000274
Abstract
This paper is devoted to the investigation of commutative implications on a complete lattice L. It is proved that the disjunctive normal form (DNF) of a linguistic composition * is included in the conjunctive normal form (CNF) of that *, i.e., DNF(*) ≤ CNF(*) holds, for a special family of t-norms, t-conorms and negations induced by commutative implications.Keywords
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