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Author Madrid, N. ♦ Ojeda-Aciego, M.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2012
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Special computer methods
Subject Keyword Coherence ♦ Lattices ♦ Semantics ♦ Knowledge based systems ♦ Electronic mail ♦ Upper bound ♦ L-fuzzy logic ♦ Consistency ♦ coherence
Abstract We focus on the notion of coherent L-interpretations with respect to a negation operator, as a convenient generalization to a fuzzy or multiple-valued environment of the classical notion of consistent interpretation. We show that, given an L-interpretation I, the set of negation operators n satisfying that I is coherent w.r.t. n has a structure of complete lattice; so there exists the greatest and the least negation operators satisfying such property; moreover, the expression of the least negation operator n satisfying that I is coherent w.r.t. n is presented. Finally, for the case in which the underlying set of truth-values is the real unit interval [0, 1], we describe a method to achieve a practical expression for the least coherence-preserving negation.
Description Author affiliation: Dept. Estadística e Inv. Operativa, Universidad de Cádiz, Spain (Madrid, N.) || Dept. Matemática Aplicada, Universidad de Málaga, Spain (Ojeda-Aciego, M.)
ISBN 9781467323369
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2012-08-06
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781467323383
Size (in Bytes) 737.33 kB
Page Count 6
Starting Page 1
Ending Page 6


Source: IEEE Xplore Digital Library