模糊知识处理中具有三种否定的模糊集

Zhenghua Pan
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引用次数: 8

摘要

本文将模糊信息中的否定关系区分为矛盾否定关系和对立否定关系,发现了模糊信息的一个特点,即如果两个对立的概念是模糊概念,那么它们之间必然存在一个“中间”模糊概念,反之亦然。因此,我们提出模糊信息中的负向关系包括矛盾负向关系、对立负向关系和中间负向关系,并对它们进行形式化定义。基于这一认识,我们定义了具有矛盾否定、对立否定和媒介否定的模糊集FScom,并讨论了FScom的特征、运算及其在FScom中的性质。
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Fuzzy set with three kinds of negations in fuzzy knowledge processing
In this paper, the negative relation in fuzzy information is distinguished contradictory negative relation and opposite negative relation, and a character of fuzzy information is discovered that if two opposite concepts are fuzzy concepts, there must exist a “medium” fuzzy concept between them, vice versa. Therefore, we proposed that negative relation in fuzzy information include contradictory negative relation, opposite negative relation and medium negative relation, and that formalization definition of them. Based on this cognition, we defined a new fuzzy set FScom with contradictory negation, opposite negation and medium negation, and discussed characteristics of FScom, operations and their properties in FScom.
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