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Set-theoretic relations for metasets.
- Source :
-
Journal of Experimental & Theoretical Artificial Intelligence . Jan2024, Vol. 36 Issue 1, p71-85. 15p. - Publication Year :
- 2024
-
Abstract
- The paper introduces partial set-theoretic relations for metasets and investigates their properties. Metaset is a concept of imprecise set designed to represent vague notions in Artificial Intelligence, whose idea stems from Boolean-valued techniques in classical set theory. The basic set relations are extended to functions valued in a Boolean algebra or unit interval. Important classical set theory axioms: extensionality and comprehension are formulated for metasets. The latter enables formal definitions of collections with blurred boundaries by using set-theory formulae. This facilitates representing and reasoning about imprecise data. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0952813X
- Volume :
- 36
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Experimental & Theoretical Artificial Intelligence
- Publication Type :
- Academic Journal
- Accession number :
- 174083881
- Full Text :
- https://doi.org/10.1080/0952813X.2022.2080276