Displaying similar documents to “Almost associative operations generating a minimal clone”

On almost equitable uninorms

Gang Li, Hua-Wen Liu, János Fodor (2015)

Kybernetika

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Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.

Commutation of operations and its relationship with Menger and Mann superpositions

Fedir M. Sokhatsky (2004)

Discussiones Mathematicae - General Algebra and Applications

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The article considers a problem from Trokhimenko paper [13] concerning the study of abstract properties of commutations of operations and their connection with the Menger and Mann superpositions. Namely, abstract characterizations of some classes of operation algebras, whose signature consists of arbitrary families of commutations of operations, Menger and Mann superpositions and their various connections are found. Some unsolved problems are given at the end of the article. ...