信息粒化的代数基础3。研究HATA-MUKAIDONO方法

H. Thiele
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引用次数: 5

摘要

L.A. Zadeh在他的论文《关于模糊信息粒化及其在人类推理和模糊逻辑中的中心地位的理论》中写道:“一个对象a的粒化导致a的颗粒的集合,颗粒是由不可区分性、相似性、接近性或功能性聚集在一起的一堆点(对象)”。除此之外,本文还进一步发展了适合Zadeh方法的系统数学理论。特别是,本文进一步讨论了Y. Hata和M. Mukaidono提出的定义“一些模糊信息粒度类别及其表示”的方法的概念考虑和数学研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On algebraic foundations of information granulation III. Investigating the HATA-MUKAIDONO approach
In his paper "Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic" L.A. Zadeh writes "Granulation of an object A leads to a collection of granules of A, with a granule being a clump of points (objects) drawn together by indistinguishability, similarity, proximity or functionality". Besides others, the paper presented is a further step to develop a systematic mathematical theory fitting Zadeh's approach. In particular, the paper deals with further conceptional considerations and mathematical investigations of the approach suggested by Y. Hata and M. Mukaidono for defining "some classes of fuzzy information granularity and their representations".
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