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A generalization of universal integrals by means of level dependent capacities

机译:通过水平依赖的能力泛化通用积分

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摘要

An axiomatic approach to universal integrals based on level dependent capacities is presented. Based on a given semicopula, two corresponding extremal universal integrals based on level dependent capacities are given. If the underlying semicopula is even a copula, another class of universal integrals based on level dependent capacities is studied, generalizing, among others, both the Choquet and the Sugeno integral based on level dependent capacities which were introduced recently.
机译:提出了一种基于水平依赖能力的公理积分方法。基于给定的半copula,基于水平依赖的能力,给出了两个相应的极值通用积分。如果下面的半copula甚至是copula,那么还将研究另一类基于水平依赖的能力的通用积分,除其他外,将基于最近水平引入的能力的Choquet积分和Sugeno积分归纳。

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  • 来源
    《Knowledge-Based Systems》 |2013年第1期|14-18|共5页
  • 作者单位

    Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, Lira, Austria;

    Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology, Bratislava, Slovakia;

    Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia,Centre of Excellence IT4lnnovations, Division University of Ostrava, IRAFM, Ostrava, Czech Republic;

    Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Capacity; Copula; Choquet integral; Level dependent capacities; Sugeno integral; Universal integral;

    机译:容量;系词;Choquet积分;水平依赖的能力;Sugeno积分;通用积分;

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