{"title":"谱变换下的排列","authors":"C. Moraga","doi":"10.1109/ISMVL.2008.16","DOIUrl":null,"url":null,"abstract":"The paper studies the conditions under which permutations on the truth vector of a multiple-valued function are preserved under a spectral transform. Both the cases of the Vilenkin-Chrestenson and of the Generalized Reed Muller transforms are discussed. One condition to preserve a permutation is that the corresponding permutation matrix is self-similar under the transform matrix.","PeriodicalId":243752,"journal":{"name":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","volume":"78 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Permutations under Spectral Transforms\",\"authors\":\"C. Moraga\",\"doi\":\"10.1109/ISMVL.2008.16\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper studies the conditions under which permutations on the truth vector of a multiple-valued function are preserved under a spectral transform. Both the cases of the Vilenkin-Chrestenson and of the Generalized Reed Muller transforms are discussed. One condition to preserve a permutation is that the corresponding permutation matrix is self-similar under the transform matrix.\",\"PeriodicalId\":243752,\"journal\":{\"name\":\"38th International Symposium on Multiple Valued Logic (ismvl 2008)\",\"volume\":\"78 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"38th International Symposium on Multiple Valued Logic (ismvl 2008)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2008.16\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"38th International Symposium on Multiple Valued Logic (ismvl 2008)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2008.16","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The paper studies the conditions under which permutations on the truth vector of a multiple-valued function are preserved under a spectral transform. Both the cases of the Vilenkin-Chrestenson and of the Generalized Reed Muller transforms are discussed. One condition to preserve a permutation is that the corresponding permutation matrix is self-similar under the transform matrix.