{"title":"格Wajsberg代数的直觉模糊wi -理想","authors":"A. Ibrahim, C. Begum","doi":"10.22457/ijfma.v15n1a2","DOIUrl":null,"url":null,"abstract":"In the present paper, we introduce the notions of intuitionistic fuzzy WI-ideal and intuitionistic fuzzy lattice ideal of lattice Wajsberg algebras. We show that every intuitionistic fuzzy WI-ideal of lattice Wajsberg algebra is an intuitionistic fuzzy lattice ideal of lattice Wajsberg algebra. Also, we discuss its converse part. Further, we obtain every intuitionistic fuzzy lattice ideal is an intuitionistic fuzzy WI-ideal in lattice H-Wajsberg algebra. Moreover, we discuss some characterizations of intuitionistic fuzzy WI-ideal.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"124 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Intuitionistic Fuzzy WI-Ideals of Lattice Wajsberg Algebras\",\"authors\":\"A. Ibrahim, C. Begum\",\"doi\":\"10.22457/ijfma.v15n1a2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, we introduce the notions of intuitionistic fuzzy WI-ideal and intuitionistic fuzzy lattice ideal of lattice Wajsberg algebras. We show that every intuitionistic fuzzy WI-ideal of lattice Wajsberg algebra is an intuitionistic fuzzy lattice ideal of lattice Wajsberg algebra. Also, we discuss its converse part. Further, we obtain every intuitionistic fuzzy lattice ideal is an intuitionistic fuzzy WI-ideal in lattice H-Wajsberg algebra. Moreover, we discuss some characterizations of intuitionistic fuzzy WI-ideal.\",\"PeriodicalId\":385922,\"journal\":{\"name\":\"International Journal of Fuzzy Mathematical Archive\",\"volume\":\"124 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.v15n1a2\",\"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.v15n1a2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Intuitionistic Fuzzy WI-Ideals of Lattice Wajsberg Algebras
In the present paper, we introduce the notions of intuitionistic fuzzy WI-ideal and intuitionistic fuzzy lattice ideal of lattice Wajsberg algebras. We show that every intuitionistic fuzzy WI-ideal of lattice Wajsberg algebra is an intuitionistic fuzzy lattice ideal of lattice Wajsberg algebra. Also, we discuss its converse part. Further, we obtain every intuitionistic fuzzy lattice ideal is an intuitionistic fuzzy WI-ideal in lattice H-Wajsberg algebra. Moreover, we discuss some characterizations of intuitionistic fuzzy WI-ideal.