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Symbolic Explanations of Generalized Fuzzy Reasoning
Linköping University, Department of Computer and Information Science, Artificial Intelligence and Intergrated Computer systems. Linköping University, The Institute of Technology. University of Warsaw, Poland.
2014 (English)In: SMART DIGITAL FUTURES 2014, IOS Press , 2014, Vol. 262, 7-16 p.Conference paper (Refereed)
Abstract [en]

Various generalizations of fuzzy reasoning are frequently used in decision making. While in many application areas it is natural to assume that truth degrees of a property and its complement sum up to 1, such an assumption appears problematic, e.g., in modeling ignorance. Therefore, in some generalizations of fuzzy sets, degrees of membership in a set and in its complement are separated and are no longer required to sum up to 1. In frequent cases, this separation of positive and negative evidences for concept membership is more natural. As we discuss in the current paper, symbolic explanations of results of such forms of reasoning provide additional important information. In the present paper we address two related questions: (i) given generalized fuzzy connectives and a finite set of truth values T, find a finitely-valued logic over T, explaining fuzzy reasoning, and (ii) given a finitely-valued logic, find a fuzzy semantics, explained by the given logic. We also show examples illustrating usefulness of the approach.

Place, publisher, year, edition, pages
IOS Press , 2014. Vol. 262, 7-16 p.
, Frontiers in Artificial Intelligence and Applications, ISSN 0922-6389
Keyword [en]
belief fuzzy reasoning; finitely-valued logics; paraconsistent reasoning
National Category
Computer and Information Science
URN: urn:nbn:se:liu:diva-115835DOI: 10.3233/978-1-61499-405-3-7ISI: 000350149800001ISBN: 978-1-61499-405-3; 978-1-61499-404-6OAI: diva2:796797
KES International Conference on Smart Digital Futures (SDF)
Available from: 2015-03-20 Created: 2015-03-20 Last updated: 2016-08-22

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Szalas, Andrzej
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Artificial Intelligence and Intergrated Computer systemsThe Institute of Technology
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