Accession Number : ADP002343

Title :   QUASI Transitive Algebras,

Corporate Author : PONTIFICIA UNIV CATOLIC DEL ECUADOR QUITO

Personal Author(s) : Pena,L.

Report Date : MAY 1983

Pagination or Media Count : 7

Abstract : Quasitransitive algebras are (extensions of) both Kleene and Stone algebras supplied with: two additional, binary, operations: an equivalential operation, and the 'overmeet', (carrot) -which differs from ordinary meet in lacking idempotence, and in the join's not being distributive into it-; and with an additional unary operation, n, which carries every entity into its lower threshold. The filter of dense elements is considered the truth filter, in virtue of the endorsement principle: what is, to some extent or other however small, true is true. The fuzzy sentential calculus Ap corresponding to those algebras is shown to be both sound and complete.

Descriptors :   *Algebra, *Symposia, Calculus, High density, Threshold effects, Filters, Ecuador

Distribution Statement : APPROVED FOR PUBLIC RELEASE