{"title":"由紧算子定义的直觉模糊i收敛差分序列空间","authors":"Esra Kamber","doi":"10.22190/fumi200810033k","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce and study the intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\\mu,\\upsilon)}(T,\\Delta)$ and ${I^{0}}^{(\\mu,\\upsilon)}(T,\\Delta)$ using by compact operator. Also we introducce a new concept, called closed ball in these spaces. By the helping of these notions, we establish a new topological space and investigate some topological properties in intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\\mu,\\upsilon)}(T,\\Delta)$ and ${I^{0}}^{(\\mu,\\upsilon)}(T,\\Delta)$ using by compact operator.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"151 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"INTUITIONISTIC FUZZY I-CONVERGENT DIFFERENCE SEQUENCE SPACES DEFINED BY COMPACT OPERATOR\",\"authors\":\"Esra Kamber\",\"doi\":\"10.22190/fumi200810033k\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce and study the intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\\\\mu,\\\\upsilon)}(T,\\\\Delta)$ and ${I^{0}}^{(\\\\mu,\\\\upsilon)}(T,\\\\Delta)$ using by compact operator. Also we introducce a new concept, called closed ball in these spaces. By the helping of these notions, we establish a new topological space and investigate some topological properties in intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\\\\mu,\\\\upsilon)}(T,\\\\Delta)$ and ${I^{0}}^{(\\\\mu,\\\\upsilon)}(T,\\\\Delta)$ using by compact operator.\",\"PeriodicalId\":54148,\"journal\":{\"name\":\"Facta Universitatis-Series Mathematics and Informatics\",\"volume\":\"151 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Facta Universitatis-Series Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22190/fumi200810033k\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi200810033k","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
INTUITIONISTIC FUZZY I-CONVERGENT DIFFERENCE SEQUENCE SPACES DEFINED BY COMPACT OPERATOR
In this paper, we introduce and study the intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\mu,\upsilon)}(T,\Delta)$ and ${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$ using by compact operator. Also we introducce a new concept, called closed ball in these spaces. By the helping of these notions, we establish a new topological space and investigate some topological properties in intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\mu,\upsilon)}(T,\Delta)$ and ${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$ using by compact operator.