Title :
On multidimensional evaluation lattices
Author_Institution :
Dept. of Math., Gov. of the Russian Fed., Moscow, Russia
Abstract :
This paper presents the new construction of evaluation lattices for multidimensional fuzzy logics. Given a complete completely distributive lattice L and a linearly ordered bounded set I with an involutive negation n we construct a De Morgan algebra L(I) which provides an evaluation set for statements composed with positive, negative and intermediate atomic statements with their types varying in I
Keywords :
algebra; fuzzy logic; fuzzy set theory; multivalued logic; De Morgan algebra; complete completely distributive lattice; evaluation set; intermediate atomic statements; involutive negation; linearly ordered bounded set; multidimensional evaluation lattices; multidimensional fuzzy logics; negative atomic statements; positive atomic statements; Algebra; Finance; Fuzzy logic; Government; Lattices; Logic functions; Mathematics; Multidimensional systems; Ontologies; Region 8;
Conference_Titel :
Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
0-7803-3796-4
DOI :
10.1109/FUZZY.1997.622812
