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Discrete bipolar universal integrals

机译:离散双极通用积分

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摘要

The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a discrete bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the concept of discrete bipolar universal integral, in order to provide a common framework for bipolar discrete integrals, including as special cases the discrete Choquet, Shilkret and Sugeno bipolar integrals. Moreover we provide two different axiomatic characterizations of the proposed discrete bipolar universal integral.
机译:最近提出的通用积分概念概括了Choquet,Shilkret和Sugeno积分。这些积分允许使用离散的双极性公式,在标度为双极性的情况下很有用。在本文中,我们提出了离散双极积分的概念,以便为双极离散积分提供一个通用框架,包括特殊情况下的离散Choquet,Shilkret和Sugeno双极积分。此外,我们提供了所提出的离散双极通用积分的两种不同的公理特征。

著录项

  • 来源
    《Fuzzy sets and systems》 |2014年第1期|55-65|共11页
  • 作者单位

    Department of Economics and Business, 95029 Catania, Italy,Portsmouth Business School, Operations & Systems Management, University of Portsmouth, Portsmouth PO1 3DE, United Kingdom;

    Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia,Institute of Theory of Information and Automation, Czech Academy of Sciences, Prague, Czech Republic;

    Department of Economics and Business, 95029 Catania, Italy;

  • 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

    Choquet integral; Sugeno integral; Shilkret integral; Universal integral; Bipolar integral;

    机译:Choquet积分;Sugeno积分;Shilkret积分;通用积分;双极积分;

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