A philosophical study on fuzzy sets and fuzzy applications

T. Joronen
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引用次数: 3

Abstract

The development of fuzzy sets has led to computational theory of perceptions (CTP). This paper presents a philosophical study on fuzzy sets and fuzzy applications and aims towards a deeper understanding about them. Ludwig Wittgenstein's philosophy can be used to illustrate fuzzy sets. Relating to Wittgenstein's approach, some interesting studies on 'vagueness' appeared before the genesis of fuzzy sets in 1965. We introduce a simple meaning articulation paradigm (MAP) of human meaning processing and apply it to fuzzy applications. The MAP applied to two case studies on fuzzy optimization and on a fuzzy Web query shows that some problems exist in traditional approaches.
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模糊集及其应用的哲学研究
模糊集的发展导致了感知的计算理论(CTP)。本文对模糊集及其应用进行了哲学研究,旨在对其有更深入的理解。路德维希·维特根斯坦的哲学可以用来说明模糊集。与维特根斯坦的方法相关,在1965年模糊集出现之前,出现了一些关于“模糊性”的有趣研究。我们引入了一种人类意义处理的简单意义表达范式(MAP),并将其应用于模糊应用。将MAP应用于模糊优化和模糊Web查询两个实例研究表明,传统方法存在一些问题。
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