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Order-equivalent triangular norms
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DOI：10.1016/j.fss.2014.10.006.png)
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Abstract
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In this paper, an equivalence relation on the class of t-norms induced by a T-partial order is provided and discussed. The equivalence classes linked to some special t-norms are characterized as well as some properties preserved by the introduced equivalence. Defining the set of incomparable elements with respect to the T-partial order, this set is deeply investigated. Finally, we give an answer to a recently posed open problem. (C) 2014 Elsevier B.V. All rights reserved.
Keywords:
Triangular norm
Bounded lattice
T-partial order
Divisibility
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