New Challenges: Group Decision Systems by Means of Entropy Defined through Qualitative Reasoning Structures

Authors:
Llorenç Roselló;Francesc Prats;Mónica Sánchez;Núria Agell
Affiliations:
Polytechnical University of Catalonia, Barcelona, Spain;Polytechnical University of Catalonia, Barcelona, Spain;Polytechnical University of Catalonia, Barcelona, Spain;ESADE, Ramon Llull University, Barcelona, Spain
Venue:
Proceedings of the 2008 conference on Artificial Intelligence Research and Development: Proceedings of the 11th International Conference of the Catalan Association for Artificial Intelligence
Year:
2008

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Abstract

This paper introduces the concept of entropy on orders of magnitude qualitative spaces and, consequently, the opportunity to measure the gain or loss of information when working with qualitative descriptions. The results obtained are significant in terms of situations which arise naturally in many real applications when dealing with different levels of precision. A method that enables ambiguous values to be included in analysis and permits summarizing information can be defined. The entropy allows measuring the consensus of expert opinion by use of a distance.