The need for extending information management systems to handle the imprecision of information found in the real world has been recognized. Fuzzy set theory together with possibility theory represent a uniform framework for extending the relational database model with these features. However, none of the existing proposals for handling imprecision in the literature has dealt with queries involv...

Optical music recognition aims at reading automatically scanned scores in order to convert them in an electronic format, such as a midi .le. We only consider here classical monophonic music: we exclude any music written on several staves, but also any music that contains chords. In order to overcome recognition failures due to the lack of methods dealing with structural information, non-local r...

In this paper we present two results on combining approximate and default reasoning First we investigate the relationship between default logic and the formalism introduced by Yager to represent default knowledge in the framework of possibility theory Second we describe a natural representation of default priorities in Yager s formalism INDEX TERMS Default logic possibility theory fuzzy set pri...

Introduction captured by our uncertainty calculi. Finally Cij is the The purpose this work is to discuss and investigate payoff to the decision maker if he selects alternative Ai the potential role of possibility theory [1-4] and other and V assumes the value Xj. One approach for non-standard uncertainty calculi, such as the Dempsterselecting the best alternative in this decision problem is Sha...

Answer Set Programming (ASP) is a popular framework for modeling combinatorial problems. However, ASP cannot easily be used for reasoning about uncertain information. Possibilistic ASP (PASP) is an extension of ASP that combines possibilistic logic and ASP. In PASP a weight is associated with each rule, where this weight is interpreted as the certainty with which the conclusion can be establish...

Uncertainty is present in virtually all replacement decisions due to unknown future events, such as revenue streams, maintenance costs, and in°ation. Fuzzy sets provide a mathematical framework for explicitly incorporating imprecision into the decision-making model, especially when the system involves human subjectivity. This chapter illustrates the use of fuzzy sets and possibility theory to e...