Abstract

In this paper, characterizations of maximal chains with respect to a t-norm-partial order, a uninorm-partial order, or a partial order on the interval [0,1] are studied. Based on these properties, some special t-norms and uninorms can be constructed which have some given maximal chains. Moreover, some partial orders on the interval [0,1] which can not be a t-norm-partial order or a uninorm-partial order are investigated and characterized.

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