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Triangular norms on partially ordered sets
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DOI：10.1016/j.fss.2005.02.001.png)
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Abstract
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In this paper, several methods to construct triangular norms on partially ordered sets are proposed. These methods include: (1) Constructing triangular norms on the poset of closed intervals of a given bounded poset. (2) Constructing triangular norms via Galois connections between bounded posets based on a categorical analysis of the construction of triangular norms on closed intervals via monotone functions and their pseudo-inverses. (3) Constructing triangular norms on function spaces between partially ordered sets. (c) 2005 Elsevier B.V. All rights reserved.
Keywords:
partially ordered set
triangular norm
Galois connection
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