{"title":"关于 LM-G 过滤器度及其特征","authors":"Merin Jose, Sunil C. Mathew","doi":"10.1007/s13370-025-01281-1","DOIUrl":null,"url":null,"abstract":"<div><p>This paper introduces the concept of <i>LM</i>-G-filter degree of mappings from <span>\\(L^X \\rightarrow M\\)</span>. <i>LM</i>-G-filter degrees of mappings are characterized by <i>L</i>-pre G-filter spaces. Degrees to which an ordinary map is an <i>LM</i>-G-filter map, <i>LM</i>-G-filter preserving map and <i>LM</i>-G-filter isomorphism are also defined and their representations are obtained in several ways. Finally, the application potential of <i>LM</i>-G-filter degree in connection with various decision making situations is also brought out.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On LM-G-filter degree and its characterizations\",\"authors\":\"Merin Jose, Sunil C. Mathew\",\"doi\":\"10.1007/s13370-025-01281-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper introduces the concept of <i>LM</i>-G-filter degree of mappings from <span>\\\\(L^X \\\\rightarrow M\\\\)</span>. <i>LM</i>-G-filter degrees of mappings are characterized by <i>L</i>-pre G-filter spaces. Degrees to which an ordinary map is an <i>LM</i>-G-filter map, <i>LM</i>-G-filter preserving map and <i>LM</i>-G-filter isomorphism are also defined and their representations are obtained in several ways. Finally, the application potential of <i>LM</i>-G-filter degree in connection with various decision making situations is also brought out.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 2\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-03-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-025-01281-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01281-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
This paper introduces the concept of LM-G-filter degree of mappings from \(L^X \rightarrow M\). LM-G-filter degrees of mappings are characterized by L-pre G-filter spaces. Degrees to which an ordinary map is an LM-G-filter map, LM-G-filter preserving map and LM-G-filter isomorphism are also defined and their representations are obtained in several ways. Finally, the application potential of LM-G-filter degree in connection with various decision making situations is also brought out.