{"title":"基于模糊逻辑插值的简化函数生成器","authors":"Granino A Korn","doi":"10.1016/S0928-4869(99)00031-2","DOIUrl":null,"url":null,"abstract":"<div><p>We replace the classical procedure for recursive linear interpolation with a technique based on simple fuzzy-set logic. This approach makes it much easier to construct multi-input interpolation procedures. The resulting function generators produce the same output as the classical formulas with slightly fewer CPU cycles if we precompute and store some coefficients before the simulation. Lin and Zhang's algorithm [K.-C. Lin, B. Zhang, Simulation 68 (3) (1997) 157–163], which precomputes and stores more interpolation-polynomial parameters, is even faster but requires much more runtime storage in the case of large function tables.</p></div>","PeriodicalId":101162,"journal":{"name":"Simulation Practice and Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2000-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0928-4869(99)00031-2","citationCount":"1","resultStr":"{\"title\":\"Simplified function generators based on fuzzy-logic interpolation\",\"authors\":\"Granino A Korn\",\"doi\":\"10.1016/S0928-4869(99)00031-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We replace the classical procedure for recursive linear interpolation with a technique based on simple fuzzy-set logic. This approach makes it much easier to construct multi-input interpolation procedures. The resulting function generators produce the same output as the classical formulas with slightly fewer CPU cycles if we precompute and store some coefficients before the simulation. Lin and Zhang's algorithm [K.-C. Lin, B. Zhang, Simulation 68 (3) (1997) 157–163], which precomputes and stores more interpolation-polynomial parameters, is even faster but requires much more runtime storage in the case of large function tables.</p></div>\",\"PeriodicalId\":101162,\"journal\":{\"name\":\"Simulation Practice and Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0928-4869(99)00031-2\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Simulation Practice and Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0928486999000312\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Simulation Practice and Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0928486999000312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
我们用一种基于简单模糊集逻辑的技术取代了经典的递归线性插值方法。这种方法使构造多输入插值过程变得容易得多。如果我们在模拟之前预先计算并存储一些系数,那么所得到的函数生成器将产生与经典公式相同的输出,并且CPU周期略少。林和张的算法[k - c]。Lin, B. Zhang, Simulation 68(3)(1997) 157-163],它预先计算和存储更多的插值多项式参数,甚至更快,但在大型函数表的情况下需要更多的运行时存储。
Simplified function generators based on fuzzy-logic interpolation
We replace the classical procedure for recursive linear interpolation with a technique based on simple fuzzy-set logic. This approach makes it much easier to construct multi-input interpolation procedures. The resulting function generators produce the same output as the classical formulas with slightly fewer CPU cycles if we precompute and store some coefficients before the simulation. Lin and Zhang's algorithm [K.-C. Lin, B. Zhang, Simulation 68 (3) (1997) 157–163], which precomputes and stores more interpolation-polynomial parameters, is even faster but requires much more runtime storage in the case of large function tables.