Generalized uniform fuzzy partition: The solution to Holcapek's open problem

Kim Jae Duck; Moon Eunho L.; Jeong Eunjin; Hong Dug Hun

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Generalized uniform fuzzy partition: The solution to Holcapek's open problem

机译：广义均匀模糊分区：Holcapek开放问题的解决方案

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摘要

In this note, we propose a solution to an open problem, which was presented by Mesiar and Stupnanova. We give two counterexamples to show that the hypothesis is not sufficient to get the result and we propose that the sufficient condition of the hypothesis is held by modifying the symmetry condition. (C) 2015 Elsevier B. V. All rights reserved.

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《Fuzzy sets and systems》 |2016年第15期|141-144|共4页
作者
Kim Jae Duck; Moon Eunho L.; Jeong Eunjin; Hong Dug Hun;
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作者单位

Myongji Univ, BangMok Coll Basic Studies, Kyunggi 449728, South Korea;

Myongji Univ, BangMok Coll Basic Studies, Kyunggi 449728, South Korea;

Myongji Univ, Dept Math, Kyunggi 449728, South Korea;

Myongji Univ, Dept Math, Kyunggi 449728, South Korea;

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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
Uniform fuzzy partition; Fuzzy transform; F-transform;

机译：均匀模糊分区;模糊变换;F变换;

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1. Analysis and guidelines to obtain a good uniform fuzzy partition granularity for fuzzy rule-based systems using simulated annealing [J] . Oscar Cordon, Francisco Herrera, Pedro Villar International Journal of Approximate Reasoning . 2000,第3期

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2. Generalized Fuzzy C-Means Clustering with Improved Fuzzy Partitions and Shadowed Sets [J] . Seyed MohsenZabihi, Mohammad-RAkbarzadeh-T International Scholarly Research Notices . 2012,第4期

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4. Filtering out high frequencies in time series using F-transform with respect to raised cosine generalized uniform fuzzy partition [C] . Linh Nguyen, Novak Vilem IEEE International Conference on Fuzzy Systems . 2015

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5. Asymptotic enumeration in pattern avoidance and in the theory of set partitions and asymptotic uniformity. [D] . Coleman, Micah Spencer. 2008

机译：模式避免以及集合划分和渐近均匀性理论中的渐近枚举。
6. A solution to the 1D NMR alignment problem using an extended generalized fuzzy Hough transform and mode support [O] . Erik Alm, Ralf J. O. Torgrip, K. Magnus Åberg, -1

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7. Necessary and Sufficient Conditions for Generalized Uniform Fuzzy Partitions [O] . Holčapek Michal, Perfilieva Irina, Novák Vilém, 2013

机译：广义一致模糊划分的充要条件

Generalized uniform fuzzy partition: The solution to Holcapek's open problem

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