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Upper bounding overlaps by groupings

机译：上边界按分组重叠

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摘要

The notions of overlapping and grouping arise from the problem how to assign an object to exactly one class among several available. In this respect, overlaps and groupings are connected with t-norms and t-conorms. However, there are some properties of t-norms and t-conorms that are not valid for overlaps and groupings, for example, that any t-norm is less than or equal than any t-conorm. This fact motivates the proposed research. Specifically, we determine conditions to ensure that an overlap is smaller than a certain grouping and methods to define operators satisfying such ordering. The relevance of this study is visible at the end of the paper by the inclusion of an illustrative example in the context of image processing.
机译：重叠和分组的概念源于以下问题：如何将一个对象准确地分配给几个可用对象中的一个。在这方面，重叠和分组与t范数和t范数相连。但是，存在t范数和t范数的某些属性对于重叠和分组无效，例如，任何t范数均小于或等于任何t范数。这一事实激励了拟议的研究。具体来说，我们确定条件以确保重叠部分小于某个特定的分组，并确定定义满足此类排序要求的运算符的方法。通过在图像处理的上下文中包含一个说明性示例，可以在本文的结尾看到这项研究的相关性。

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  • 来源
    《Fuzzy sets and systems》 |2015年第1期|76-99|共24页
  • 作者

    Nicolas Madrid; Ana Burusco; Humberto Bustince; Javier Fernandez; Irina Perfilieva;

  • 作者单位

    Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03 Ostrava 1, Czech Republic;

    Dept. Computer Science and Artificial Intelligence, Public University of Navarra, C/Arrosadia, s, Pamplona 31006, Spain;

    Dept. Computer Science and Artificial Intelligence, Public University of Navarra, C/Arrosadia, s, Pamplona 31006, Spain;

    Dept. Computer Science and Artificial Intelligence, Public University of Navarra, C/Arrosadia, s, Pamplona 31006, Spain;

    Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03 Ostrava 1, Czech Republic;

  • 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

    Overlaps; Groupings; Aggregators; Image processing;

    机译：重叠;分组;聚合器;图像处理;

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