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Adding fuzziness to terms and powerobjects using a monadic approach

机译:使用monadic方法为术语和PowerObject添加模糊性

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摘要

Fuzzy mathematics often starts by taking a piece of classical mathematics and introducing fuzziness to existing mathematical concepts, and then proceeds to a more essential adoption of a fuzzy perspective. This paper explores this progression for two important monads: the powerset monad and its generalizations to fuzzy powerobjects, and the term monad and its generalization to using fuzzy sets of operators. This brings together two lines of research previously discussed at the Linz seminars. The powerset and its fuzzy analogs are important in the development of topology in a fuzzy world and the term monad and its fuzzy analogs are vital in understanding fuzzy computer science.
机译:模糊数学通常始于采用一门经典数学并将模糊性引入现有的数学概念中,然后继续更基本地采用模糊观点。本文探讨了两个重要monad的进展:powerset monad及其对模糊powerobject的推广,以及monad及其对使用模糊算子集的推广。这汇集了先前在Linz研讨会上讨论过的两类研究。功率集及其模糊类似物在模糊世界中拓扑的发展中很重要,术语monad及其模糊类似物对于理解模糊计算机科学至关重要。

著录项

  • 来源
    《Fuzzy sets and systems》 |2012年第2012期|p.104-122|共19页
  • 作者单位

    Department of Computing Science, Umea University, Sweden;

    Department of Information and Media Technology, Mikkeli University of Applied Sciences, Finland;

    Department of Mathematics and Computer Science, Illinois Wesleyan University, Illinois, USA;

  • 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

    generalised terms; monad; non-classical logic;

    机译:广义术语;单子;非经典逻辑;

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