{"title":"模糊半双极软滤波器及其与格林关系的关联 $\\mathcal{N}$","authors":"R. Prasertpong, P. Julatha, Aiyared Iampan","doi":"10.29020/nybg.ejpam.v17i1.5021","DOIUrl":null,"url":null,"abstract":"This paper introduces the concept of fuzzy semibipolar soft filters in ordered groupoids. It is defined in the form of fuzzy semibipolar soft sets over universal sets. Then, a corresponding example is proposed. A necessary and sufficient condition for fuzzy semibipolar soft filters is provided. Finally, Green's relation $\\mathcal{N}$ on ordered groupoids is described in terms of fuzzy semibipolar soft filters.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Fuzzy Semibipolar Soft Filter and its Association with Green's Relation $\\\\mathcal{N}$\",\"authors\":\"R. Prasertpong, P. Julatha, Aiyared Iampan\",\"doi\":\"10.29020/nybg.ejpam.v17i1.5021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper introduces the concept of fuzzy semibipolar soft filters in ordered groupoids. It is defined in the form of fuzzy semibipolar soft sets over universal sets. Then, a corresponding example is proposed. A necessary and sufficient condition for fuzzy semibipolar soft filters is provided. Finally, Green's relation $\\\\mathcal{N}$ on ordered groupoids is described in terms of fuzzy semibipolar soft filters.\",\"PeriodicalId\":51807,\"journal\":{\"name\":\"European Journal of Pure and Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29020/nybg.ejpam.v17i1.5021\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29020/nybg.ejpam.v17i1.5021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
A Fuzzy Semibipolar Soft Filter and its Association with Green's Relation $\mathcal{N}$
This paper introduces the concept of fuzzy semibipolar soft filters in ordered groupoids. It is defined in the form of fuzzy semibipolar soft sets over universal sets. Then, a corresponding example is proposed. A necessary and sufficient condition for fuzzy semibipolar soft filters is provided. Finally, Green's relation $\mathcal{N}$ on ordered groupoids is described in terms of fuzzy semibipolar soft filters.