On Linear Approximations of Sugeno Integrals on Bounded Distributive Lattices
作者： Radomir Halas , Radko Mesiar , Jozef Pocs
DOI: 10.1109/TFUZZ.2017.2785791
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摘要: This paper aims at extending the study of Sugeno integrals on bounded distributive lattices, also including several linguistic scales. We introduce, study, and discuss linear approximations such integrals. The best approximations, keeping as much information possible, are characterized. Our approach significantly reduces computational complexity, which is illustrated by an example, too.
sci-hub.se 参考文章(14)
Radomír Halaš, Jozef Pócs, On lattices with a smallest set of aggregation functions Information Sciences. ,vol. 325, pp. 316- 323 ,(2015) , 10.1016/J.INS.2015.07.031
Jozef Pócs, Radko Mesiar, Radomír Halaš, A new characterization of the discrete Sugeno integral Information Fusion. ,vol. 29, pp. 84- 86 ,(2016) , 10.1016/J.INFFUS.2015.08.008
Miroslav Ploščica, Miroslav Haviar, Congruence-preserving functions on distributive lattices Algebra universalis. ,vol. 59, pp. 179- 196 ,(2008) , 10.1007/S00012-008-2099-4
Jean-Luc Marichal, Weighted lattice polynomials Discrete Mathematics. ,vol. 309, pp. 814- 820 ,(2009) , 10.1016/J.DISC.2008.01.019
Timothy C. Havens, Derek T. Anderson, Christian Wagner, Data-Informed Fuzzy Measures for Fuzzy Integration of Intervals and Fuzzy Numbers IEEE Transactions on Fuzzy Systems. ,vol. 23, pp. 1861- 1875 ,(2015) , 10.1109/TFUZZ.2014.2382133
J.A Goguen, L-fuzzy sets Journal of Mathematical Analysis and Applications. ,vol. 18, pp. 145- 174 ,(1967) , 10.1016/0022-247X(67)90189-8
Didier Dubois, Henri Prade, Agnès Rico, The logical encoding of Sugeno integrals Fuzzy Sets and Systems. ,vol. 241, pp. 61- 75 ,(2014) , 10.1016/J.FSS.2013.12.014
Didier Dubois, Henri Prade, Agnès Rico, Residuated variants of Sugeno integrals Information Sciences. ,vol. 329, pp. 765- 781 ,(2016) , 10.1016/J.INS.2015.09.034
Radomír Halaš, Jozef Pócs, On the clone of aggregation functions on bounded lattices Information Sciences. ,vol. 329, pp. 381- 389 ,(2016) , 10.1016/J.INS.2015.09.038
Radko Mesiar, Marek Gagolewski, H-Index and Other Sugeno Integrals: Some Defects and Their Compensation IEEE Transactions on Fuzzy Systems. ,vol. 24, pp. 1668- 1672 ,(2016) , 10.1109/TFUZZ.2016.2516579