{"title":"光电模糊逻辑系统","authors":"G. Marsden, B. H. Olson, S. Esener, Sing H. Lee","doi":"10.1364/optcomp.1991.tub2","DOIUrl":null,"url":null,"abstract":"It is often the case in reasoning problems that propositions are neither entirely true nor entirely false. In fuzzy logic,1,2 the truth values of propositions are not restricted to true or false, but rather may range between zero (absolutely false) and one (absolutely true), allowing a quantitative representation and evaluation of vague propositions. For example, the proposition, \"Marsden is a boring speaker\" is neither totally true nor totally false, but might have a value 0.30.3 Many existing Boolean reasoning methods can be extended to include fuzzy truth values. However, since Boolean operators such as AND and OR are undefined on non-Boolean data, analogous fuzzy operators must be defined for these algorithms to be useful. It has been shown that MIN and MAX have desirable properties when used as extensions of AND and OR, respectively.1","PeriodicalId":302010,"journal":{"name":"Optical Computing","volume":"84 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Optoelectronic Fuzzy Logic System\",\"authors\":\"G. Marsden, B. H. Olson, S. Esener, Sing H. Lee\",\"doi\":\"10.1364/optcomp.1991.tub2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is often the case in reasoning problems that propositions are neither entirely true nor entirely false. In fuzzy logic,1,2 the truth values of propositions are not restricted to true or false, but rather may range between zero (absolutely false) and one (absolutely true), allowing a quantitative representation and evaluation of vague propositions. For example, the proposition, \\\"Marsden is a boring speaker\\\" is neither totally true nor totally false, but might have a value 0.30.3 Many existing Boolean reasoning methods can be extended to include fuzzy truth values. However, since Boolean operators such as AND and OR are undefined on non-Boolean data, analogous fuzzy operators must be defined for these algorithms to be useful. It has been shown that MIN and MAX have desirable properties when used as extensions of AND and OR, respectively.1\",\"PeriodicalId\":302010,\"journal\":{\"name\":\"Optical Computing\",\"volume\":\"84 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optical Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/optcomp.1991.tub2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optical Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/optcomp.1991.tub2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
在推理问题中，命题既不是完全正确也不是完全错误的情况经常出现。在模糊逻辑中，命题的真值不限于真或假，而是可以在0(绝对假)和1(绝对真)之间变化，允许对模糊命题进行定量表示和评估。例如，命题“Marsden is a boring speaker”既不是完全真，也不是完全假，但可能有一个值0.30.3。许多现有的布尔推理方法可以扩展到包含模糊真值。然而，由于诸如AND和OR之类的布尔运算符在非布尔数据上是未定义的，因此必须定义类似的模糊运算符才能使这些算法有用。已经证明，当分别作为and和OR的扩展时，MIN和MAX具有理想的性质
It is often the case in reasoning problems that propositions are neither entirely true nor entirely false. In fuzzy logic,1,2 the truth values of propositions are not restricted to true or false, but rather may range between zero (absolutely false) and one (absolutely true), allowing a quantitative representation and evaluation of vague propositions. For example, the proposition, "Marsden is a boring speaker" is neither totally true nor totally false, but might have a value 0.30.3 Many existing Boolean reasoning methods can be extended to include fuzzy truth values. However, since Boolean operators such as AND and OR are undefined on non-Boolean data, analogous fuzzy operators must be defined for these algorithms to be useful. It has been shown that MIN and MAX have desirable properties when used as extensions of AND and OR, respectively.1
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