POSSIBILITY THEORY IS NOT FULLY COMPOSITIONAL - A COMMENT ON A SHORT NOTE BY GREENBERG,H.J

Authors
DUBOIS D PRADE H
Citation
D. Dubois et H. Prade, POSSIBILITY THEORY IS NOT FULLY COMPOSITIONAL - A COMMENT ON A SHORT NOTE BY GREENBERG,H.J, Fuzzy sets and systems, 95(1), 1998, pp. 131-134
Citations number
26
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
95
Issue
1
Year of publication
1998
Pages
131 - 134
Database
ISI
SICI code
0165-0114(1998)95:1<131:PTINFC>2.0.ZU;2-B
Abstract
A recent short note [H.J. Greenberg, Fuzzy Sets and Systems 86 (1997) 249-250] has assumed that a possibility measure is fully compositional with respect to negation, conjunction and disjunction. Up to a trivia l exception, such a possibility measure does not exist. This short not e recalls that the calculus of possibility measures on Boolean proposi tions is not compositional (except for the disjunction) and has little to do with the fully compositional max-min calculus of degrees of tru th for fuzzy propositions. (C) 1998 Elsevier Science B.V.