DocumentCode
3477964
Title
Normal forms for fuzzy logic functions
Author
Perfilieva, Irina
fYear
2003
fDate
16-19 May 2003
Firstpage
59
Lastpage
64
Abstract
Three types of normal forms are introduced for fuzzy logic functions: disjunctive, conjunctive and additive. Disjunctive and conjunctive normal forms are considered in two variants: infinite and finite. It is shown that infinite normal forms are universal representation formulas whereas finite normal forms are universal approximation formulas for any L-valued function where L is a support set of any complete BL-algebra. The additive normal form "lies" in the middle of the two others. For all of them the estimation of the quality of approximation is suggested.
Keywords
Boolean algebra; fuzzy logic; BL-algebra; L-valued function; additive normal form; conjunctive normal form; disjunctive normal form; finite normal form; fuzzy logic function; infinite normal form; universal approximation formula; universal representation formula; Boolean algebra; Fuzzy logic; Fuzzy sets; Lattices; Logic functions; Neural networks; Prototypes;
fLanguage
English
Publisher
ieee
Conference_Titel
Multiple-Valued Logic, 2003. Proceedings. 33rd International Symposium on
ISSN
0195-623X
Print_ISBN
0-7695-1918-0
Type
conf
DOI
10.1109/ISMVL.2003.1201385
Filename
1201385
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