Titlebook: Eurofuse 2011; Workshop on Fuzzy Me Pedro Melo-Pinto,Pedro Couto,Bernard Baets Conference proceedings 2012 Springer Berlin Heidelberg 2012

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On the Properties of Probabilistic Implicationsnd make a bridge between probability theory and fuzzy logic. It is shown that probabilistic fuzzy implications have some interesting properties, especially those connected with the dependence structure of the underlying environment. Therefore, it seems that probabilistic implications might be a usef

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Robustness of ,-Dual Fuzzy Connectivesitivity in n-order function on [0,1], we apply the results in the D-coimplication classes. The paper formally states that the robustness of pairs of mutual dual .-order functions can be compared, preserving properties and the ordered relation of their arguments.

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Transitivity and Negative Transitivity in the Fuzzy Settingion is complete, the associated strict preference relation is its dual relation. It follows from here this well-known result: given a complete weak preference relation, it is transitive if and only if its strict preference relation is negatively transitive..In the context of fuzzy relations, transit

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