{"title":"关于多值逻辑函数在歧义性方面的单调性","authors":"K. Nakashima, N. Takagi","doi":"10.1109/ISMVL.1992.186801","DOIUrl":null,"url":null,"abstract":"The authors define a partial-ordering relation with respect to ambiguity with the greatest element 1/2 and minimal elements 0, 1 in the set of truth values V=(0,1/(p-1),. . ., 1/2,. . ., (p-2)/(p-1), 1), and the p-valued logic functions monotonic with respect to ambiguity, based on this ordering relation. A necessary and sufficient condition for p-valued logic functions to be monotonic with respect to ambiguity is presented along with the proofs, and their logic expressions using unary operators defined in the partial-ordering relation are provided.<<ETX>>","PeriodicalId":127091,"journal":{"name":"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On multiple-valued logic functions monotonic with respect to ambiguity\",\"authors\":\"K. Nakashima, N. Takagi\",\"doi\":\"10.1109/ISMVL.1992.186801\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors define a partial-ordering relation with respect to ambiguity with the greatest element 1/2 and minimal elements 0, 1 in the set of truth values V=(0,1/(p-1),. . ., 1/2,. . ., (p-2)/(p-1), 1), and the p-valued logic functions monotonic with respect to ambiguity, based on this ordering relation. A necessary and sufficient condition for p-valued logic functions to be monotonic with respect to ambiguity is presented along with the proofs, and their logic expressions using unary operators defined in the partial-ordering relation are provided.<<ETX>>\",\"PeriodicalId\":127091,\"journal\":{\"name\":\"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.1992.186801\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1992.186801","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On multiple-valued logic functions monotonic with respect to ambiguity
The authors define a partial-ordering relation with respect to ambiguity with the greatest element 1/2 and minimal elements 0, 1 in the set of truth values V=(0,1/(p-1),. . ., 1/2,. . ., (p-2)/(p-1), 1), and the p-valued logic functions monotonic with respect to ambiguity, based on this ordering relation. A necessary and sufficient condition for p-valued logic functions to be monotonic with respect to ambiguity is presented along with the proofs, and their logic expressions using unary operators defined in the partial-ordering relation are provided.<>
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