{"title":"直觉模糊矩阵的一种新的散度测度","authors":"Alka Rani, Pratiksha Tiwari, Priti Gupta","doi":"10.31449/inf.v47i8.3638","DOIUrl":null,"url":null,"abstract":"Data available in the real world may not be in a crisp format. Intuitionistic fuzzy matrices are applicable in uncertainty and useful in decision making, relational equation, clustering, etc. Divergence or similarity measures help to characterize dissimilarity or similarity between any two sets. This paper presents a new divergence measure for intuitionistic fuzzy matrices with the verification of its validity. The fundamental properties are demonstrated for the new intuitionistic fuzzy divergence measure. A technique to solve multi-criteria decision-making problems is developed by utilizing the proposed intuitionistic fuzzy divergence measure. Finally, application in the medical diagnosis of this intuitionistic fuzzy divergence measure to decision making is shown using real data.","PeriodicalId":56292,"journal":{"name":"Informatica","volume":"31 1","pages":"0"},"PeriodicalIF":3.3000,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A New Divergence Measure for Intuitionistic Fuzzy Matrices\",\"authors\":\"Alka Rani, Pratiksha Tiwari, Priti Gupta\",\"doi\":\"10.31449/inf.v47i8.3638\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Data available in the real world may not be in a crisp format. Intuitionistic fuzzy matrices are applicable in uncertainty and useful in decision making, relational equation, clustering, etc. Divergence or similarity measures help to characterize dissimilarity or similarity between any two sets. This paper presents a new divergence measure for intuitionistic fuzzy matrices with the verification of its validity. The fundamental properties are demonstrated for the new intuitionistic fuzzy divergence measure. A technique to solve multi-criteria decision-making problems is developed by utilizing the proposed intuitionistic fuzzy divergence measure. Finally, application in the medical diagnosis of this intuitionistic fuzzy divergence measure to decision making is shown using real data.\",\"PeriodicalId\":56292,\"journal\":{\"name\":\"Informatica\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":3.3000,\"publicationDate\":\"2023-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Informatica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31449/inf.v47i8.3638\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Informatica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31449/inf.v47i8.3638","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
A New Divergence Measure for Intuitionistic Fuzzy Matrices
Data available in the real world may not be in a crisp format. Intuitionistic fuzzy matrices are applicable in uncertainty and useful in decision making, relational equation, clustering, etc. Divergence or similarity measures help to characterize dissimilarity or similarity between any two sets. This paper presents a new divergence measure for intuitionistic fuzzy matrices with the verification of its validity. The fundamental properties are demonstrated for the new intuitionistic fuzzy divergence measure. A technique to solve multi-criteria decision-making problems is developed by utilizing the proposed intuitionistic fuzzy divergence measure. Finally, application in the medical diagnosis of this intuitionistic fuzzy divergence measure to decision making is shown using real data.
期刊介绍:
The quarterly journal Informatica provides an international forum for high-quality original research and publishes papers on mathematical simulation and optimization, recognition and control, programming theory and systems, automation systems and elements. Informatica provides a multidisciplinary forum for scientists and engineers involved in research and design including experts who implement and manage information systems applications.