Journal
INFORMATION SCIENCES
Volume 301, Issue -, Pages 227-240Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2014.12.060
Keywords
Multi-polar aggregation; t-conorm; Uninorm; Nullnorm; t-norm
Categories
Funding
- Program Fellowship of SAS
- [VEGA 2/0049/14]
- [APVV-0073-10]
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Transformation of uninorms defined on the unit interval to the bipolar scale yields bipolar t-conorms and transformation of nullnorms on the unit interval yields bipolar t-norms. We use this relation in the investigation of the structure of bipolar and multi-polar t-norms and t-conorms. We use the same transformation of the unit interval into the bipolar scale in order to obtain bipolar aggregation operators from ordinal sum t-norms and t-conorms. The extensions of these special bipolar aggregation operators generalize both multi-polar t-norms and t-conorms and therefore we call them multi-polar uninorms. Several examples of multi-polar t-conorms and uninorms are also presented. (c) 2015 Elsevier Inc. All rights reserved.
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