FUZZY LOGIC .1. MANY-VALUED RULES OF INFERENCE

FUZZY LOGIC .1. MANY-VALUED RULES OF INFERENCE
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DOI:
10.1002/malq.19790250304
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发表时间:
1979-01-01
期刊:
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK
影响因子:
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通讯作者:
PAVELKA, J
PAVELKA, J
中科院分区:
其他
文献类型:
--
作者:
PAVELKA, J

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在过去的十年里,人们对多值逻辑的兴趣明显复苏。关注L. A. ZADEH的模糊集的介绍术语“模糊逻辑”开始出现在越来越多的文件发展ZADEH的方法推理与模糊概念。本文的研究工作受到J. A. GOOUEN的综合论文[4].给定一个有界偏序真值集W和一个形式语言2,Y中所有公式的集合F上的W-值语义可以约简为一个真值函数F-+ W的集合Y s W“.在处理多值逻辑的著作中(参见[1],[5],[7],[lo]),多值语义通常按以下方式处理。人们选择所谓的指定真值的子集D s W(通常D={1},其中1是W的通用上界),并定义公式z E F为逻辑推论。
The past decade has brought a conspicuous revival of interest in many-valued logic. Following L. A. ZADEH’S introduction of fuzzy sets the term “fuzzy logic” started to appear in a growing number of papers developing ZADEH’S approach to reasoning with vague concepts. The present paper owes its inspiration to J. A. GOOUEN’S comprehensive essay [4].Given a bounded partially ordered set W of truth values and a formal language 2, a W-valued semantics on the set F of all formulas in Y can be reduced to a set Y s W “of truth value functions F-+ W. In works dealing with many-valued logic (see eg [l],[5],[7],[lo]) the many-valued semantics9 is usually treated in the following way. One chooses a subset D s W of so called designated truth values (often D={l} where 1 is the universal upper bound of W) and defines a formula z E F to be a logical conse-