{"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":0.7000,"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}
引用次数: 0
Abstract
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.
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