A note on a generalized Frank functional equation

Saminger-Platz Susanne; Kolesarova Anna; Mesiar Radko; Klement Erich Peter

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A note on a generalized Frank functional equation

机译：关于广义Frank函数方程的一个注记

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摘要

We study a generalized Frank functional equation in the broader framework of associative aggregation functions and show that, up to the two projections, we obtain exactly the same set of solutions as in the original paper by M. J. Frank (Aequationes Mathematicae 19, 1979). (c) 2017 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2018年第15期|48-54|共7页
作者
Saminger-Platz Susanne; Kolesarova Anna; Mesiar Radko; Klement Erich Peter;
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作者单位

Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria;

Slovak Univ Technol Bratislava, Fac Chem & Food Technol, Dept Informat Engn Automat & Math, Bratislava 81237, Slovakia;

Slovak Univ Technol Bratislava, Dept Math & Descript Geometry, Fac Civil Engn, Bratislava 81005, Slovakia;

Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Frank functional equation; Copula; Triangular norm; Aggregation function;

机译：Frank函数方程;Copula;三角范数;聚集函数;

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专利

1. Notes on stability of the generalized gamma functional equation [J] . Gwang HuiKim, BingXu, WeinianZhang International journal of mathematics and mathematical sciences . 2002,第1期

机译：关于广义伽玛泛函方程的稳定性的注意事项
2. Conditional Lie-B?cklund symmetries and functionally generalized separable solutions to the generalized porous medium equations with source [J] . Ji L. Journal of Mathematical Analysis and Applications . 2012,第2期

机译：带源的广义多孔介质方程的条件Lie-B？cklund对称性和泛函可分离解
3. On the generalized algebraic Riccati equations * * This work was partially supported by the Australian Research Council (DP160104994). [J] . A. Ferrante, L. Ntogramatzidis IFAC PapersOnLine . 2017,第1期

机译：关于广义代数Riccati方程 * * 这项研究得到了澳大利亚研究委员会（DP160104994）的部分支持。
4. A note on the stability of a generalized trigonometric functional equation [C] . Charinthip Hengkrawit, Vichian Laohakosol, Janyarak Tongsomporn International Conference on Mathematical Science . 2011

机译：关于广义三角函数方程的稳定性的说明
5. Some contributions to analysis: A new space of generalized functions for integro-differential equations involving Hilbert transforms, and a note on the non-nuclearity of a space of test functions on Hilbert space. [D] . Donnelly, Roderick Kerry. 1988

机译：对分析的一些贡献：涉及Hilbert变换的积分微分方程的广义函数的新空间，以及关于Hilbert空间上测试函数的空间的非核性的注释。
6. Computing generalized Langevin equations and generalized Fokker–Planck equations [O] . Eric Darve, Jose Solomon, Amirali Kia 2009

机译：计算广义Langevin方程和广义Fokker-Planck方程
7. Analytical solution of generalized Burton--Cabrera--Frank equations for growth and post--growth equilibration on vicinal surfaces [O] . Harris, S., Šmilauer, P. 1994

机译：广义Burton - Cabrera - Frank方程的解析解邻近地表的生长和后生长平衡

A note on a generalized Frank functional equation

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