In this paper, we present a model allowing to determine the weights related to interacting criteria. This is done on the basis of the knowledge of a partial ranking over a reference set of alternatives (prototypes), a partial ranking over the set of criteria, and a partial ranking over the set of interactions between pairs of criteria.

In advanced knowledge processing, partial information plays an important role in coping with complex data and knowledge. To handle such information, we developed the knowledge representation language (which may be regarded as a deductive object-oriented database language) QUIXOT E. The language has the features of both logic and object-orientation concepts, as well as database features. In this...

In a previous paper, we have introduced an approach for extending both the terminological and the assertional part of a Description Logic knowledge base by using information provided by the assertional part and by a domain expert. This approach, called knowledge base completion, was based on an extension of attribute exploration to the case of partial contexts. The present paper recalls this ap...

Situations in which the information about a given domain is partial are common in many AI applications. In planning and analysis of scenarios involving partial information, the state of knowledge of an intelligent agent in such circumstances becomes important. This paper addresses the problem of characterizing this state of knowledge, with the emphasis on the single-agent case. We give a number...

In this paper, we propose an approach which can help Inductive Logic Programming (ILP) in multiclass domains and also its application to a real world domain, Classification of Dopamine Antagonist Molecules. When we classify an example by using the unordered rules constructed by standard ILP systems in multiclass domains, an example may match with the rules from different classes or may match wi...

Traditional game theory assumes that the players in the game are aware of the rules of the game. However, in practice, often the players are unaware or have only partial knowledge about the game they are playing. They may also have knowledge that other players have only partial knowledge of the game they are playing, which they can try to exploit. We present a novel mathematical formulation of ...

Economists studying choice with partial knowledge typically assume that the decision maker places a subjective distribution on unknown quantities and maximizes expected utility. Someone lacking a subjective distribution faces a problem of choice under ambiguity. This article reviews recent research on policy choice under ambiguity, when the task is to choose treatments for a population. Ambigui...

This paper studies different techniques for measuring and decreasing inconsistency of a knowledge base. We define an operation that allows to decrease inconsistency of a knowledge base while losing a minimal amount of information. We also propose two different ways to compare knowledge bases. The first is a partial order that we define on the set of knowledge bases. We study this relation and i...