Binary relations for qualitative reasoning

Núria Piera, Núria Agell

Research output: Book chapterConference contributionpeer-review

4 Citations (Scopus)


To perform qualitative calculus with orders of magnitude algebras based on finer divisions than those provided by the sign, it is very usefull to consider some binary relations to represent human reasoning. This paper provides the orders of magnitude algebras a metric space structure and goes on to formalise the binary relation of "negligibility" and "having the same order of magnitude". The inference rules arising from relating the qualitative sum and product with these two relations are studied and analyzed, and they may be highly useful in solving qualitative equations or systems of equations.

Original languageEnglish
Title of host publication1992 IEEE International Conference on Systems, Man, and Cybernetics
Subtitle of host publicationEmergent Innovations in Information Transfer Processing and Decision Making, SMC 1992
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages5
ISBN (Electronic)0780307208, 9780780307209
Publication statusPublished - 1992
Externally publishedYes
EventIEEE International Conference on Systems, Man, and Cybernetics, SMC 1992 - Chicago, United States
Duration: 18 Oct 199221 Oct 1992

Publication series

NameConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
ISSN (Print)1062-922X


ConferenceIEEE International Conference on Systems, Man, and Cybernetics, SMC 1992
Country/TerritoryUnited States


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