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Triangular Norms on Partially Ordered Sets
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DOI：10.1002/malq.70014.png)
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Abstract
En 中文
In this study, we extend the additively generated triangular norms from the framework of the unit interval to that of partially ordered sets. We present several conditions under which this formula yields a t-norm, where are partially ordered sets, and are monotone functions and is a t-norm/t-conorm on . The partially ordered semigroups induced by are order-preserving/order-reversing homomorphic to semigroup deformations of the semigroup induced by .
Keywords:
additive generator
homomorphism
partially ordered semigroup
t-norm
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0.4
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11
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