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Some relationships between Losonczi’s based OWA generalizations and the Choquet–Stieltjes integral

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Abstract

The number of aggregation operators existing nowadays is rather large. In this paper, we study some of these operators and establish some relationships between them. In particular, we focus on neat operators. We link some of these operators with the Losonczi’s mean. The results permit us to define a Losonczi’s OWA and a Losonczi’s WOWA.

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Acknowledgments

Partial support by the Generalitat de Catalunya (AGAUR, 2006BE-2 00338, 2005 SGR 00446 and 2005-SGR-00093) and the Spanish MEC (projects ARES—CONSOLIDER INGENIO 2010 CSD2007-00004—and eAEGIS—TSI2007-65406-C03-02) is acknowledged.

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Authors and Affiliations

  1. IIIA-CSIC Institut d’Investigació en Intel·ligència Artificial, Campus UAB s/n, 08193, Bellaterra, Catalonia, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10 Naka, Kunitachi, Tokyo, 186-0004, Japan

    Yasuo Narukawa

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  1. Vicenç Torra
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  2. Yasuo Narukawa
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Correspondence to Vicenç Torra.

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Torra, V., Narukawa, Y. Some relationships between Losonczi’s based OWA generalizations and the Choquet–Stieltjes integral. Soft Comput 14, 465–472 (2010). https://doi.org/10.1007/s00500-009-0454-9

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