{"title":"分配格中的闭包模糊理想","authors":"Berhanu Assaye Alaba, Mihret Alamneh Taye, Wondwosen Zemene Norahun","doi":"10.22457/ijfma.v16n1a7","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the concept of closure fuzzy ideals in a distributive lattice. The set of all closure fuzzy ideals of a lattice is isomorphic to the class of fuzzy ideals of the lattice of all dominator ideals. Moreover, a one to one correspondence between the class of all prime closure fuzzy ideals of a lattice and the prime fuzzy ideals of the lattice of all dominator ideals is established.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"136 4 Pt 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Closure Fuzzy Ideals in Distributive Lattices\",\"authors\":\"Berhanu Assaye Alaba, Mihret Alamneh Taye, Wondwosen Zemene Norahun\",\"doi\":\"10.22457/ijfma.v16n1a7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce the concept of closure fuzzy ideals in a distributive lattice. The set of all closure fuzzy ideals of a lattice is isomorphic to the class of fuzzy ideals of the lattice of all dominator ideals. Moreover, a one to one correspondence between the class of all prime closure fuzzy ideals of a lattice and the prime fuzzy ideals of the lattice of all dominator ideals is established.\",\"PeriodicalId\":385922,\"journal\":{\"name\":\"International Journal of Fuzzy Mathematical Archive\",\"volume\":\"136 4 Pt 1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Fuzzy Mathematical Archive\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22457/ijfma.v16n1a7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fuzzy Mathematical Archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/ijfma.v16n1a7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we introduce the concept of closure fuzzy ideals in a distributive lattice. The set of all closure fuzzy ideals of a lattice is isomorphic to the class of fuzzy ideals of the lattice of all dominator ideals. Moreover, a one to one correspondence between the class of all prime closure fuzzy ideals of a lattice and the prime fuzzy ideals of the lattice of all dominator ideals is established.
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