Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 83, Issue -, Pages 176-192Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2017.01.007
Keywords
Uninorm; Representable uninorm; Additive generator; t-Norm; Ordinal sum
Categories
Funding
- VEGA [2/0049/14, APVV-0178-11]
- Program Fellowship of SAS
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The uninorms with continuous underlying t-norm and t-conorm are characterized via the ordinal sum construction of Clifford. Using the previous results of the author, where each uninorm with continuous underlying operations was characterized by properties of its set of discontinuity points, it is shown that each such a uninorm can be decomposed into an ordinal sum of a countable number of semigroups related to representable uninorms, continuous Archimedean t-norms, continuous Archimedean t-conorms and internal uninorms (including the min and the max operator). (C) 2017 Elsevier Inc. All rights reserved.
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