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提出模糊集合论至今已有25年左右的时间,随着它对实际系统应用的进展,与信息处理领域之间也产生了相辅相成的关系。现在,还不能说已经确立了模糊信息处理的领域,不过,为了叙述方便,似乎可以将模糊信息处理大致分为二种。一种是关于模糊集合论中的信息处理方法,另一种是关于信息处理领域中的模糊集合论方法(所谓信息处理,包括硬件和软件,不过本文只讨论与软件的关系)。前一种问题是在计算机上实现用模糊集合论表述的各种概念,这相当于用计算机处理和表示模糊集合的方法。后一种问题相当于模糊推理、模糊程序和模糊数据库等,因为信息处理的内容并不是很有规律的东西,算法和数据都可能是模糊不清的,因此需要使用模糊集合论加以描述。本文尽量用例子加以说明。先讨论模糊集及其运算,然后概述模糊集的表示和处理、模糊推理、模糊程序以及模糊数据库等。
It has been 25 years since the introduction of fuzzy set theory. As its application to real systems progresses, it has also had a complementary relationship with the field of information processing. Now, it can not be said that the field of fuzzy information processing has been established. However, for the convenience of description, it seems that the fuzzy information processing can be broadly divided into two types. One is about the method of information processing in fuzzy set theory and the other is about fuzzy set theory in the field of information processing (the so-called information processing, including hardware and software, but this article only discusses the relationship with the software). The former problem is to implement various concepts expressed in fuzzy set theory on computers, which is equivalent to the method of computer processing and expressing fuzzy sets. The latter problem is equivalent to fuzzy reasoning, fuzzy procedure and fuzzy database. Because the content of information processing is not a very regular thing, the algorithms and data may be ambiguous and need to be described by fuzzy set theory. This article tries to illustrate with examples. First discuss the fuzzy set and its operation, and then outline the fuzzy set representation and processing, fuzzy reasoning, fuzzy procedures and fuzzy database.