{"title":"直觉模糊含义研究。第2部分","authors":"Nora A. Angelova, K. Atanassov, Vassia Atanassova","doi":"10.7546/nifs.2022.28.2.172-192","DOIUrl":null,"url":null,"abstract":"Continuing the research from [2], here we give the list of the axioms that are \\linebreak satisfied by the intuitionistic fuzzy implications, introduced in Part 1 of the present research. Given the large number of implications that have already been defined and the naturally arising question about their comparability and usability, we discuss the criteria of usability of implications and outline 44 ones that satisfy at least 28 from the discussed 38 axioms, that is about 1/4 of all implications that satisfy at least about 3/4 of all axioms. Finally, we show the relationships between each pair of implications in the form of a graph.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"23 2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Research on intuitionistic fuzzy implications. Part 2\",\"authors\":\"Nora A. Angelova, K. Atanassov, Vassia Atanassova\",\"doi\":\"10.7546/nifs.2022.28.2.172-192\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Continuing the research from [2], here we give the list of the axioms that are \\\\linebreak satisfied by the intuitionistic fuzzy implications, introduced in Part 1 of the present research. Given the large number of implications that have already been defined and the naturally arising question about their comparability and usability, we discuss the criteria of usability of implications and outline 44 ones that satisfy at least 28 from the discussed 38 axioms, that is about 1/4 of all implications that satisfy at least about 3/4 of all axioms. Finally, we show the relationships between each pair of implications in the form of a graph.\",\"PeriodicalId\":433687,\"journal\":{\"name\":\"Notes on Intuitionistic Fuzzy Sets\",\"volume\":\"23 2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notes on Intuitionistic Fuzzy Sets\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/nifs.2022.28.2.172-192\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Intuitionistic Fuzzy Sets","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nifs.2022.28.2.172-192","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Research on intuitionistic fuzzy implications. Part 2
Continuing the research from [2], here we give the list of the axioms that are \linebreak satisfied by the intuitionistic fuzzy implications, introduced in Part 1 of the present research. Given the large number of implications that have already been defined and the naturally arising question about their comparability and usability, we discuss the criteria of usability of implications and outline 44 ones that satisfy at least 28 from the discussed 38 axioms, that is about 1/4 of all implications that satisfy at least about 3/4 of all axioms. Finally, we show the relationships between each pair of implications in the form of a graph.