{"title":"带有常数的模糊逻辑函数的辨识——部分指定多值Kleenean函数","authors":"H. Kikuchi, N. Takagi, M. Mukaidono","doi":"10.1109/FUZZY.1995.409980","DOIUrl":null,"url":null,"abstract":"Some properties of the partially specified fuzzy logic functions with constants are investigated and the identification problem of logic formula is solved. A fuzzy logic (switching) function is a mapping represented by means of logic formula which consists n variables, three logical connectives, and two constants of 0 and 1. In this paper, any truth values of [0,1] are allowed to be constants in logic formula. The fuzzy logic function with arbitrary constants is called multiple-valued Kleenean function. Main result is a necessary and sufficient condition for an identification problem of Kleenean function to be solved.<<ETX>>","PeriodicalId":150477,"journal":{"name":"Proceedings of 1995 IEEE International Conference on Fuzzy Systems.","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Identification of fuzzy logic functions with constants-partially specified multiple-valued Kleenean functions\",\"authors\":\"H. Kikuchi, N. Takagi, M. Mukaidono\",\"doi\":\"10.1109/FUZZY.1995.409980\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some properties of the partially specified fuzzy logic functions with constants are investigated and the identification problem of logic formula is solved. A fuzzy logic (switching) function is a mapping represented by means of logic formula which consists n variables, three logical connectives, and two constants of 0 and 1. In this paper, any truth values of [0,1] are allowed to be constants in logic formula. The fuzzy logic function with arbitrary constants is called multiple-valued Kleenean function. Main result is a necessary and sufficient condition for an identification problem of Kleenean function to be solved.<<ETX>>\",\"PeriodicalId\":150477,\"journal\":{\"name\":\"Proceedings of 1995 IEEE International Conference on Fuzzy Systems.\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1995 IEEE International Conference on Fuzzy Systems.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FUZZY.1995.409980\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1995 IEEE International Conference on Fuzzy Systems.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZY.1995.409980","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Identification of fuzzy logic functions with constants-partially specified multiple-valued Kleenean functions
Some properties of the partially specified fuzzy logic functions with constants are investigated and the identification problem of logic formula is solved. A fuzzy logic (switching) function is a mapping represented by means of logic formula which consists n variables, three logical connectives, and two constants of 0 and 1. In this paper, any truth values of [0,1] are allowed to be constants in logic formula. The fuzzy logic function with arbitrary constants is called multiple-valued Kleenean function. Main result is a necessary and sufficient condition for an identification problem of Kleenean function to be solved.<>
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