Constructing Choquet integral-based operators that generalize weighted means and OWA operators |
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| Affiliation: | 1. Faculty of Mathematics and Information Science, Warsaw University of Technology ul. Koszykowa 75, Warsaw 00-662, Poland;2. School of Information Technology, Deakin University, Geelong, VIC 3220, Australia;3. Systems Research Institute, Polish Academy of Sciences ul. Newelska 6, Warsaw 01-447, Poland;1. Department of Systems Design and Informatics, Kyushu Institute of Technology, 680-4 Kawazu, Iizuka, Fukuoka, 820-8502, JAPAN;2. Fuzzy Logic Systems Institute, 680-41 Kawazu, Iizuka, Fukuoka, 820-0067, JAPAN;1. School of Informatics, University of Skövde, Sweden;2. Toho Gakuen, 3-1-10, Naka, Kunitachi, Tokyo 186-0004, Japan |
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| Abstract: | In this paper we introduce the semi-uninorm based ordered weighted averaging (SUOWA) operators, a new class of aggregation functions that, as WOWA operators, simultaneously generalize weighted means and OWA operators. To do this we take into account that weighted means and OWA operators are particular cases of Choquet integral. So, SUOWA operators are Choquet integral-based operators where their capacities are constructed by using semi-uninorms and the values of the capacities associated to the weighted means and the OWA operators. We also show some interesting properties of these new operators and provide examples showing that SUOWA and WOWA operators are different classes of aggregation operators. |
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| Keywords: | Choquet integral Weighted means OWA operators SUOWA operators Semi-uninorms |
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