k-maxitive aggregation functions

Mesiar Radko; Kolesarova Anna

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k-maxitive aggregation functions

机译：Maxitian先生英语逃犯

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摘要

Inspired by the idea of k-maxitive measures, we introduce and study k-maxitive aggregation functions. In particular, 1-maxitive aggregation functions are shown to be just maxitive aggregation functions, i.e., maxima of distorted inputs. We introduce, among others, a representation of symmetric k-maxitive aggregation functions. Moreover, we show that for any k-maxitive capacity and the smallest universal integral based on an arbitrary fixed semicopula, including the Sugeno and Shilkret integrals, the resulting aggregation function is k-maxitive. (C) 2018 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2018年第1期|127-137|共11页
作者
Mesiar Radko; Kolesarova Anna;
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作者单位

Slovak Univ Technol Bratislava, Fac Chem & Food Technol, Inst Informat Engn Automat & Math, Radlinskeho 9, Bratislava 81237, Slovakia;

Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Radlinskeho 11, Bratislava 81005, Slovakia;

Palacky Univ Olomouc, Fac Sci, Dept Algebra & Geometry, 17 Listopadu 12, Olomouc 77146, Czech Republic;

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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
Maxitive aggregation function; k-maxitive aggregation function; k-maxitive capacity;

机译：最大的英语焦虑？;

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2. 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
3. Learning k-maxitive fuzzy measures from data by mixed integer programming [J] . Beliakov Gleb, Wu Jian-Zhang Fuzzy sets and systems . 2021,第Juna1期

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4. Applying aggregation and pre-aggregation functions in the classification of grape berries [C] . Giancarlo Lucca, José Antonio Sanz, Humberto Bustince, IEEE International Conference on Fuzzy Systems . 2018

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5. Evaluation of aggregation of audit evidence under uncertainty: An empirical study of belief functions. [D] . Harrison, Keith Edward. 1999

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6. Aggregation Functions Transformed by 0 - 1 Valued Monotone Systems of Functions [O] . Martin Kalina -1

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7. k-maxitive Sugeno integrals as aggregation models for ordinal preferences [O] . Brabant, Quentin, Couceiro, Miguel 2017

机译：k-最大Sugeno积分作为有序偏好的聚集模型

k-maxitive aggregation functions

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