{"title":"论两类多值关系","authors":"D. Dikranjan, A. Sostak","doi":"10.2991/IFSA-EUSFLAT-15.2015.131","DOIUrl":null,"url":null,"abstract":"The purpose of these notes is to introduce the concept of a many-valued relation and to study two, in a certain sense dual, categories of such relations. Besides, we apply the concept of a manyvalued relation to the description of different approaches, both fixed-based and variable-based, to Fuzzy Topology and characterize categories related to Fuzzy Topology, in the framework of the corresponding categories of many-valued relations.","PeriodicalId":67877,"journal":{"name":"模糊系统与数学","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2015-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On two categories of many valued relations\",\"authors\":\"D. Dikranjan, A. Sostak\",\"doi\":\"10.2991/IFSA-EUSFLAT-15.2015.131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of these notes is to introduce the concept of a many-valued relation and to study two, in a certain sense dual, categories of such relations. Besides, we apply the concept of a manyvalued relation to the description of different approaches, both fixed-based and variable-based, to Fuzzy Topology and characterize categories related to Fuzzy Topology, in the framework of the corresponding categories of many-valued relations.\",\"PeriodicalId\":67877,\"journal\":{\"name\":\"模糊系统与数学\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"模糊系统与数学\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.2991/IFSA-EUSFLAT-15.2015.131\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"模糊系统与数学","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.2991/IFSA-EUSFLAT-15.2015.131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The purpose of these notes is to introduce the concept of a many-valued relation and to study two, in a certain sense dual, categories of such relations. Besides, we apply the concept of a manyvalued relation to the description of different approaches, both fixed-based and variable-based, to Fuzzy Topology and characterize categories related to Fuzzy Topology, in the framework of the corresponding categories of many-valued relations.