This paper is a first step in the direction of extending possibilistic planning to take advantage of the expressive power and reasoning capabilities of fuzzy description logics. Fuzzy description logics are used to describe knowledge about the world and about actions. Fundamental definitions are given and the possibilistic planning problem is recast in this new setting.

Controlled Query Evaluation (CQE) is a logical framework for the protection of secrets in databases. In this article, we extend the CQE framework to possibilistic logic: knowledge base, a priori knowledge and privacy policy are expressed with necessity-valued formulas that represent several degrees of certainty. We present a formal security de nition and analyze an appropriate controlled evalua...

In 2001 Carlsson and Fullér introduced the possibilistic mean value, variance and covariance of fuzzy numbers. In 2002 Fullér and Majlender introduced the notations of crisp weighted possibilistic mean value, variance and covariance of fuzzy numbers, which are consistent with the extension principle. In this paper we will show some (normative) properties of possibility distributions.

Possibility theory is applied to the updating problem in a knowledge base that describes the state of an evolving system. The system evolution is described by a possibilistic Markov chain whose agreement with the axioms of updating is examined. Then it is explained how to recover a possibilistic Markov chain from a set of transition constraints, on the basis of a specificity ordering.

With this paper we present a brief overview of selected promi­ nent approaches to rule frameworks and formal rule languages for the representation of and reasoning with uncertain or imprecise knowledge. This work covers selected probabilistic and possibilistic logics, as well as implementations of uncertainty and possibilistic reasoning in rule engine

Fuzzy clustering is a useful tool for capturing intrinsic structure of data sets. This paper proposes several formulations for soft transition of fuzzy memberships from probabilistic partition to possibilistic one. In the proposed techniques, the free memberships are given by introducing additional penalty term used in Possibilistic c-Means. The new features of the proposed techniques are demon...

How did I get to become a cell biologist? Or, more generally, why do things happen the way they do? The answer provided by the philosopher Democritus and later adopted by Jacques Monod is "everything existing in the universe is the fruit of chance and necessity." While I read Monod's book Chance and Necessity as an undergraduate student, little did I appreciate the accuracy of this citation and...

The ability of an agent to make quick, rational decisions in an uncertain environment is paramount for its applicability in realistic settings. Markov Decision Processes (MDP) provide such a framework, but can only model uncertainty that can be expressed as probabilities. Possibilistic counterparts of MDPs allow to model imprecise beliefs, yet they cannot accurately represent probabilistic sour...