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• W170687150 abstract "We present several relational frameworks for expressing similarities and preferences in a quantitative way. The main focus is on the occurrence of various types of transitivity in these frameworks. The first framework is that of fuzzy relations; the corresponding notion of transitivity is C-transitivity, with C a conjunctor. We discuss two approaches to the measurement of similarity of fuzzy sets: a logical approach based on biresidual operators and a cardinal approach based on fuzzy set cardinalities. The second framework is that of reciprocal relations; the corresponding notion of transitivity is cycle-transitivity. It plays a crucial role in the description of different types of transitivity arising in the comparison of (artificially coupled) random variables in terms of winning probabilities. It also embraces the study of mutual rank probability relations of partially ordered sets." @default.
• W170687150 created "2016-06-24" @default.
• W170687150 creator A5014127586 @default.
• W170687150 date "2012-01-01" @default.
• W170687150 modified "2023-09-27" @default.
• W170687150 title "The Quest for Transitivity, a Showcase of Fuzzy Relational Calculus" @default.
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• W170687150 doi "https://doi.org/10.1007/978-3-642-30687-7_8" @default.
• W170687150 hasPublicationYear "2012" @default.
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