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Triangular Norms on a Bounded Posets

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2 Author(s)
Zhang Kun-Lun ; Dept. of Math., Central Univ. for Nat., Beijing ; Li Dong-Hai

In this presented note, triangular norms are studied in the general setting of bounded partially ordered sets(posets). The sets of idempotent elements, zero divisors and nilpotent elements associated to a t-norm are introduced and related to each other. The Archimedean of t-norms is discussed, in particular its relationship to the diagonal inequality.

Published in:

Knowledge Acquisition and Modeling Workshop, 2008. KAM Workshop 2008. IEEE International Symposium on

Date of Conference:

21-22 Dec. 2008