{"title":"关于混合b-模糊拓扑空间","authors":"W. Al-Omeri","doi":"10.5391/IJFIS.2020.20.3.242","DOIUrl":null,"url":null,"abstract":"This paper describes the construction of a topological space from two different fuzzy topologies using the fuzzy b -q-nbd of a fuzzy point with respect to one topology and the fuzzy b closure of a fuzzy set with respect to another topology. Additionally, some relationships are established between the two adopted topologies and the resulting mixed topology. Finally, we define countability on mixed fuzzy topological spaces and investigate the various quasi-type properties of such spaces.","PeriodicalId":354250,"journal":{"name":"Int. J. Fuzzy Log. Intell. Syst.","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On Mixed b-Fuzzy Topological Spaces\",\"authors\":\"W. Al-Omeri\",\"doi\":\"10.5391/IJFIS.2020.20.3.242\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes the construction of a topological space from two different fuzzy topologies using the fuzzy b -q-nbd of a fuzzy point with respect to one topology and the fuzzy b closure of a fuzzy set with respect to another topology. Additionally, some relationships are established between the two adopted topologies and the resulting mixed topology. Finally, we define countability on mixed fuzzy topological spaces and investigate the various quasi-type properties of such spaces.\",\"PeriodicalId\":354250,\"journal\":{\"name\":\"Int. J. Fuzzy Log. Intell. Syst.\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Fuzzy Log. Intell. Syst.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5391/IJFIS.2020.20.3.242\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Fuzzy Log. Intell. Syst.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5391/IJFIS.2020.20.3.242","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper describes the construction of a topological space from two different fuzzy topologies using the fuzzy b -q-nbd of a fuzzy point with respect to one topology and the fuzzy b closure of a fuzzy set with respect to another topology. Additionally, some relationships are established between the two adopted topologies and the resulting mixed topology. Finally, we define countability on mixed fuzzy topological spaces and investigate the various quasi-type properties of such spaces.