Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 119, Issue -, Pages 353-372Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2020.01.008
Keywords
Uninorms; 2-Uninorms; Distributivity equation; Overlap function; Grouping function
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Funding
- National Natural Science Foundation of China [11971210, 61967008, 61563020]
- Key Programme of Jiangxi Natural Science Foundation [20171ACB20010]
- Natural Science Foundation of Jiangxi Province [20192BAB201009]
- Open Fund of Provincial Key Laboratory for High-Performance Computing Technology, Jiangxi Normal University
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Since Aczel studied the distributive law between two operations, the distributive laws among different binary aggregation functions become an interesting and vast research field. This paper is mainly devoted to solving the distributivity equations between 2-uninorms and overlap(grouping) functions, which are two classes of special aggregation functions found to possess wide applications in image processing, decision making, classification and fuzzy detection problems. We obtain the sufficient and necessary conditions of the distributivity equations between five classes of basic 2-uninorms and overlap(grouping) functions. (C) 2020 Elsevier Inc. All rights reserved.
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