MEANS ON DISCRETE PRODUCT LATTICES

作者: Daniel Paternain , Gleb Beliakov , Javier Fernandez , Humberto Bustince

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摘要: We investigate the problem of averaging values on lattices, and in particular discrete product lattices. This arises image processing when several color given RGB, HSL, or another coding scheme, need to be combined. show how arithmetic mean median can constructed by minimizing appropriate penalties. also discuss which them coincide with Cartesian standard median.

参考文章(14)
Gaspar Mayor, Tomasa Calvo, Radko Mesiar, Aggregation operators: new trends and applications Physica-Verlag GmbH. ,(2002)
Gleb Beliakov, Ana Pradera, Tomasa Calvo, Aggregation Functions: A Guide for Practitioners ,(2007)
Tomasa Calvo, Gleb Beliakov, Aggregation functions based on penalties Fuzzy Sets and Systems. ,vol. 161, pp. 1420- 1436 ,(2010) , 10.1016/J.FSS.2009.05.012
Gaspar Mayor, Jaume Monreal, Additive Generators of Discrete Conjunctive Aggregation Operations IEEE Transactions on Fuzzy Systems. ,vol. 15, pp. 1046- 1052 ,(2007) , 10.1109/TFUZZ.2007.903321
R. Mesiar, Fuzzy set approach to the utility, preference relations, and aggregation operators European Journal of Operational Research. ,vol. 176, pp. 414- 422 ,(2007) , 10.1016/J.EJOR.2005.07.016
F. Herrera, E. Herrera-Viedma, Linguistic decision analysis: steps for solving decision problems under linguistic information Fuzzy Sets and Systems. ,vol. 115, pp. 67- 82 ,(2000) , 10.1016/S0165-0114(99)00024-X
Bernard De Baets, Radko Mesiar, Triangular norms on product lattices Fuzzy Sets and Systems. ,vol. 104, pp. 61- 75 ,(1999) , 10.1016/S0165-0114(98)00259-0
Sándor Jenei, Bernard De Baets, None, On the direct decomposability of t-norms on product lattices Fuzzy Sets and Systems. ,vol. 139, pp. 699- 707 ,(2003) , 10.1016/S0165-0114(03)00125-8
T. Calvo, R. Mesiar, R.R. Yager, Quantitative weights and aggregation IEEE Transactions on Fuzzy Systems. ,vol. 12, pp. 62- 69 ,(2004) , 10.1109/TFUZZ.2003.822679