Generalized phi-transformations of aggregation functions

Jin LeSheng; Mesiar Radko; Kalina Martin; Spirkova Jana; Borkotokey Surajit

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Generalized phi-transformations of aggregation functions

机译：聚集函数的广义PHI转换

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摘要

In this paper we present a new method of construction of aggregation functions based on the so-called bijective chains, that generalizes the standard isomorphic phi-transforms of aggregation functions. It covers, among others, several known construction methods, such as the construction of copulas based on ultramodular copulas, or particular ordinal sums of aggregation functions, e.g., of t-norms, copulas, t-conorms. Several properties of the proposed construction method are discussed and exemplified. (C) 2018 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2019年第1期|124-141|共18页
作者
Jin LeSheng; Mesiar Radko; Kalina Martin; Spirkova Jana; Borkotokey Surajit;
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作者单位

Nanjing Normal Univ Business Sch Nanjing Jiangsu Peoples R China;

Slovak Univ Technol Bratislava Fac Civil Engn Radlinskeho 11 SK-81005 Bratislava Slovakia|Palacky Univ Olomouc Fac Sci Dept Algebra & Geometry 17 Listopadu 12 CZ-77900 Olomouc Czech Republic;

Slovak Univ Technol Bratislava Fac Civil Engn Radlinskeho 11 SK-81005 Bratislava Slovakia;

Matej Bel Univ Fac Econ Tajovskeho 10 SK-97590 Banska Bystrica Slovakia;

Dibrugarh Univ Dept Math Dibrugarh 786004 Assam India;

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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
Aggregation function; Weighted arithmetic mean; Ordinal sum construction; phi-transform;

机译：聚合函数;加权算术平均值;序号结构;PHI-Transform;

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专利

1. Generalized phi-transformations of aggregation functions [J] . Jin LeSheng, Mesiar Radko, Kalina Martin, Fuzzy sets and systems . 2019,第OCTa1期

机译：聚合函数的广义phi变换
2. Generalized C_(F1F2)-integrals: From Choquet-like aggregation to ordered directionally monotone functions [J] . Pereira Dimuro Gracaliz, Lucca Giancarlo, Bedregal Benjamin, Fuzzy sets and systems . 2020,第Jana1期

机译：广义C_（F1F2）-积分：从类似于Choquet的聚合到有序的定向单调函数
3. Multiple Attribute Group Decision-Making Method Based on Generalized Interval-Valued Hesitant Uncertain Linguistic Power Aggregation Operators and Linguistic-Scale Functions [J] . Zhengmin Liu, Peide Liu, Xia Liang International Journal of Fuzzy Systems . 2018,第6期

机译：基于广义区间值犹豫不确定语言能力集合算子和语言尺度函数的多属性群决策方法
4. Generalized phi-transformations and $n$-uninorms [C] . LeSheng Jin, Martin Kalina, Radko Mesiar, International Conference on Control, Decision and Information Technologies . 2019

机译：广义phi变换和 $ n $ -uninorms
5. Using hierarchical generalized linear modeling for detection of differential item functioning in a polytomous item response theory framework: An evaluation and comparison with generalized Mantel -Haenszel [D] . Ryan, Cari H. 2008

机译：在多项目项响应理论框架中使用分层广义线性建模来检测差异项功能：与广义Mantel -Haenszel的评估和比较
6. Characterization of Simultaneous Evolution of Size and Composition Distributions Using Generalized Aggregation Population Balance Equation [O] . Mehakpreet Singh, Ashish Kumar, Saeed Shirazian, 2020

机译：广义聚集群体平衡等式的尺寸和成分分布同时演化的表征
7. Generalized deviation functions and construction of aggregation functions [O] . Andrea Stupnanova, Peter Smrek 2019

机译：广义偏差函数与聚合函数的构建

Generalized phi-transformations of aggregation functions

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