DocumentCode
3470776
Title
On three laws typical of Booleanity
Author
Trillas, Enric ; Renedo, Eloy ; Alsina, Claud
Author_Institution
Dept. de Inteligencia Aritificial, Univ. Politecnica de Madrid, Spain
Volume
2
fYear
2004
fDate
27-30 June 2004
Firstpage
520
Abstract
This paper´s goal is to prove that the only de Morgan algebras and the only ortholattices in which the three laws a´+b = a´+a.b,a.(a´+b)≤b, and (a.b´)´= b + a´b´ do hold, are Boolean algebras. That is, in those two usual generalizations of Boolean algebras these laws characterize Booleanity.
Keywords
Boolean algebra; fuzzy logic; Boolean algebras; de Morgan algebras; fuzzy logic; ortholattices; Boolean algebra; Equations; Fuzzy logic; Fuzzy set theory; Lattices;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information, 2004. Processing NAFIPS '04. IEEE Annual Meeting of the
Print_ISBN
0-7803-8376-1
Type
conf
DOI
10.1109/NAFIPS.2004.1337354
Filename
1337354
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