Internal direct product of integral V-distributive binary aggregation functions and the classification of all integral V-distributive binary aggregation functions of length 3

Karacal Funda; Khadjiev Djavvat

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Internal direct product of integral V-distributive binary aggregation functions and the classification of all integral V-distributive binary aggregation functions of length 3

机译：积分V分布二进制聚合函数的内部直接乘积以及所有长度为3的积分V分布二进制聚合函数的分类

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We present some relations between an external direct product and an internal direct product of a family of integral V-distributive binary aggregation functions. Relations between a direct decomposition of the unit and a family of pairwise comaximal elements in a lattice with an integral V-distributive binary aggregation function are investigated. Using these results, the classification of all integral V-distributive binary aggregation functions on a lattice of length 3 and a description of all lattices of length 3 with an integral V-distributive binary aggregation function are given. (C) 2014 Elsevier Inc. All rights reserved.

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《Information Sciences: An International Journal》 |2015年第null期|共14页
作者
Karacal Funda; Khadjiev Djavvat;
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正文语种 eng
中图分类自动信息理论;
关键词
Aggregation-function; Triangular norm; Semicopula; l-groupoid; V-distributive aggregation function;

机译：聚集函数;三角范数;Semicopula;l-groupoid;V-分布聚集函数;

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1. Internal direct product of integral V-distributive binary aggregation functions and the classification of all integral V-distributive binary aggregation functions of length 3 [J] . Karacal Funda, Khadjiev Djavvat Information Sciences: An International Journal . 2015,第Null期

机译：积分V分布二进制聚合函数的内部直接乘积以及所有长度为3的积分V分布二进制聚合函数的分类
2. C-F-integrals: A new family of pre-aggregation functions with application to fuzzy rule-based classification systems [J] . Lucca Giancarlo, Antonio Sanz Jose, Pereira Dimuro Gracaliz, Information Sciences: An International Journal . 2018,第期

机译：C-F积分：具有应用于模糊规则的分类系统的新的预聚合函数的新系列族
3. CC-integrals: Choquet-like Copula-based aggregation functions and its application in fuzzy rule-based classification systems [J] . Lucca Giancarlo, Antonio Sanz Jose, Pereira Dimuro Gracaliz, Knowledge-Based Systems . 2017,第MARa期

机译：CC-integrals：基于Choquet的Copula聚合函数及其在基于模糊规则的分类系统中的应用
4. CMin-Integral: A Choquet-Like Aggregation Function Based on the Minimum t-Norm for Applications to Fuzzy Rule-Based Classification Systems [C] . Gra?aliz Pereira Dimuro, Giancarlo Lucca, José António Sanz, International Summer School on Aggregation Functions . 2017

机译：CMIN-Integral：基于应用于模糊规则的分类系统的最小T范围的Coquet-lige聚合函数
5. Diffusional aggregation in binary solids. [D] . Shi, Qiwei. 2012

机译：二元固体中的扩散聚集。
6. Fabrication of microstructured binary polymer brush corrals with integral pH sensing for studies of proton transport in model membrane systems [O] . J. Madsen, R. E. Ducker, O. Al Jaf, 2018

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7. Superadditive and subadditive transformations of integrals and aggregation functions [O] . Greco Salvatore, Mesiar Radko, Rindone Fabio, 2016

机译：积分和聚合函数的超加和次加法转换
8. The Boltzmann Collision Integrals for a Binary Gas Mixture with a Combination of Maxwellian Distribution Functions [R] . Walters, W. P., Yen, S. M. 1972

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Internal direct product of integral V-distributive binary aggregation functions and the classification of all integral V-distributive binary aggregation functions of length 3

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