Compatible-based Conditioning in Interval-based Possibilistic Logic

Salem Benferhat, Amelie Levray, Karim Tabia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

Interval-based possibilistic logic is a flexible setting extending standard possibilistic logic such that each logical expression is associated with a sub-interval of [0, 1]. This paper focuses on the fundamental issue of conditioning in the interval-based possibilistic setting. The first part of the paper first proposes a set of natural properties that an interval-based conditioning operator should satisfy. We then give a natural and safe definition for conditioning an interval-based possibility distribution. This definition is based on applying standard min-based or product-based conditioning on the set of all associated compatible possibility distributions. The second part of the paper provides an equivalent syntactic computation of interval-based conditioning when interval-based distributions are compactly encoded by means of interval-based possibilistic knowledge bases. We show that interval based conditioning is achieved without extra computational cost comparing to conditioning standard possibilistic knowledge bases.
Original languageEnglish
Title of host publication24th Conference on Fuzzy Logic and its Applications (LFA 2015)
Place of PublicationFuturoscope, Poitiers, France
Number of pages8
Publication statusPublished - 2015
Event24th Conference on Fuzzy Logic and its Applications - Poitiers, France
Duration: 5 Nov 20156 Nov 2015


Conference24th Conference on Fuzzy Logic and its Applications
Abbreviated titleLFA 2015
Internet address


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