Quasi-homogeneous associative functions

Bruce R. Ebanks

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-7

Abstract:

A triangular norm is a special kind of associative function on the closed unit interval [ 0 , 1 ] . Triangular norms (or t -norms) were introduced in the context of probabilistic metric space theory, and they have found applications also in other areas, such as fuzzy set theory. We determine the explicit forms of all t -norms which satisfy a generalized homogeneity property called quasi-homogeneity.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:262358

DOI: 10.1155/S0161171298000489

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