Qualitative Possibilities and Necessities

Authors:
Aleksandar Perović;Zoran Ognjanović;Miodrag Rašković;Zoran Marković
Affiliations:
Facutly of transportation and traffic engineering, Belgrade, Serbia 11000;Mathematical Institute of Serbian Academy of Sciences and Arts, Belgrade, Serbia 11000;Mathematical Institute of Serbian Academy of Sciences and Arts, Belgrade, Serbia 11000;Mathematical Institute of Serbian Academy of Sciences and Arts, Belgrade, Serbia 11000
Venue:
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Year:
2009

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Abstract

Qualitative possibilities and necessities are well known types of confidence relations. They have been extensively studied semantically, as relations on Boolean algebras (or equivalently, relations on algebras of sets). The aim of this paper is to give a syntactical flavor to the subject providing a sound and complete axiomatization of qualitative possibility relations.