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Forty years of fuzzy sets

机译：四十年的模糊集

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摘要

The first officially published paper on fuzzy set theory appeared in 1965. Since then, an enormous amount of literature spread out from this seminal paper of Lotfi Zadeh, as witnessed by the foundation of the journal Fuzzy Sets and Systems in 1978, and the growth in size of this journal from a small format set of rather thin four yearly issues, to the present 24 issues a year having between 150 and 200 pages each. The launching, in the 90s, of specific IEEE transactions specifically devoted to fuzzy systems, is also a major sign of the maturity of a novel area devoted to the representation and the processing of concepts that are intrinsically gradual. Since then most major publishers do propose a journal devoted to fuzzy sets and related notions. As a consequence it was felt important to celebrate the 40th anniversary of the paper "Fuzzy Sets", to ask members of the board to write position papers discussing the role and future prospects of fuzzy sets in their area. Finally we could gather 14 contributions of various length, which is a small number compared to the actual list of topics where fuzzy set research is active. But it is also representative of the most recent trends. Trillas and Guadarrama pose an interesting question when considering the evolution of the field in the last 40 years. Indeed, Zadeh had very early the conviction that fuzzy sets should play a basic role in formal, computable representations of human knowledge expressed in natural language. This thesis is still alive, under the Computing with Words paradigm. However, retrospectively, the impact of fuzzy sets on formal linguistics has been very small, compared to the impact on engineering, and some specialized mathematical areas. Trillas and Guadarrama suggest some ways of reviving the potential of fuzzy sets in computational linguistics. In connection to this issue, Novak tries to isolate the phenomenon of vaguenes as being the focus of fuzzy set-based modelling, as opposed to uncertainty. He claims that fuzziness stems from indiscernibility, via the notion of fuzzy equality. And indeed, the nature of fuzziness is still a matter of controversy, namely the question of whether the membership function and fuzzy equality are independent notions or not. Resolving this issue is crucial for a proper understanding of the significance of fuzzy sets in knowledge representation and reasoning.
机译：关于模糊集理论的第一篇正式论文发表于1965年。此后，从Lotfi Zadeh的这一开创性论文中散布了大量文献，1978年《模糊集和系统》杂志的创立见证了该文献的发展。该期刊的规模从一本很小的格式集（每年出版的第四期简本）到现在的一年24期，每期150至200页。在90年代，专门针对模糊系统的特定IEEE事务的启动，也标志着一个专门用于表示和处理本质上渐进的概念的新颖领域的成熟。从那时起，大多数主要的出版商都提出了专门针对模糊集和相关概念的期刊。因此，庆祝“模糊集”论文40周年非常重要，要求董事会成员撰写立场文件，讨论模糊集在其领域中的作用和未来前景。最终，我们可以收集14种不同长度的文稿，与模糊集研究活跃的实际主题列表相比，这是一个很小的数目。但这也代表了最新趋势。考虑过去40年中该领域的发展，Trillas和Guadarrama提出了一个有趣的问题。确实，扎德（Zadeh）早就相信模糊集应该在以自然语言表达的人类知识的形式化，可计算表示中起基本作用。在“用词计算”范式下，该论文仍然存在。但是，回顾起来，与对工程学和某些专业数学领域的影响相比，模糊集对形式语言学的影响很小。特里亚斯（Trillas）和瓜达拉马（Guadarrama）提出了一些方法来恢复计算语言学中模糊集的潜力。关于此问题，Novak试图将vaguenes现象隔离为基于模糊集而不是不确定性的建模重点。他声称，模糊性是由于模糊等式的概念而源于不可分辨性。的确，模糊性的本质仍然是一个有争议的问题，即隶属函数和模糊相等性是否是独立概念的问题。解决此问题对于正确理解模糊集在知识表示和推理中的重要性至关重要。

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  • 来源
    《Fuzzy sets and systems》 |2005年第3期|p.331-333|共3页
  • 作者

    Didier Dubois;

  • 作者单位

    I.R.I.T-CNRS, Universite Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France;

  • 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 模糊数学;
  • 关键词

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