{"title":"m极模糊图的一些性质","authors":"Ganesh Ghorai, Madhumangal Pal","doi":"10.1016/j.psra.2016.06.004","DOIUrl":null,"url":null,"abstract":"<div><p>In many real world problems, data sometimes comes from <em>n</em> agents (<em>n</em> ≥ 2), i.e., “multipolar information” exists. This information cannot be well-represented by means of fuzzy graphs or bipolar fuzzy graphs. Therefore, <em>m</em>-polar fuzzy set theory is applied to graphs to describe the relationships among several individuals. In this paper, some operations are defined to formulate these graphs. Some properties of strong <em>m</em>-polar fuzzy graphs, self-complementary <em>m</em>-polar fuzzy graphs and self-complementary strong <em>m</em>-polar fuzzy graphs are discussed.</p></div>","PeriodicalId":100999,"journal":{"name":"Pacific Science Review A: Natural Science and Engineering","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.psra.2016.06.004","citationCount":"52","resultStr":"{\"title\":\"Some properties of m-polar fuzzy graphs\",\"authors\":\"Ganesh Ghorai, Madhumangal Pal\",\"doi\":\"10.1016/j.psra.2016.06.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In many real world problems, data sometimes comes from <em>n</em> agents (<em>n</em> ≥ 2), i.e., “multipolar information” exists. This information cannot be well-represented by means of fuzzy graphs or bipolar fuzzy graphs. Therefore, <em>m</em>-polar fuzzy set theory is applied to graphs to describe the relationships among several individuals. In this paper, some operations are defined to formulate these graphs. Some properties of strong <em>m</em>-polar fuzzy graphs, self-complementary <em>m</em>-polar fuzzy graphs and self-complementary strong <em>m</em>-polar fuzzy graphs are discussed.</p></div>\",\"PeriodicalId\":100999,\"journal\":{\"name\":\"Pacific Science Review A: Natural Science and Engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.psra.2016.06.004\",\"citationCount\":\"52\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pacific Science Review A: Natural Science and Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2405882316300345\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pacific Science Review A: Natural Science and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405882316300345","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In many real world problems, data sometimes comes from n agents (n ≥ 2), i.e., “multipolar information” exists. This information cannot be well-represented by means of fuzzy graphs or bipolar fuzzy graphs. Therefore, m-polar fuzzy set theory is applied to graphs to describe the relationships among several individuals. In this paper, some operations are defined to formulate these graphs. Some properties of strong m-polar fuzzy graphs, self-complementary m-polar fuzzy graphs and self-complementary strong m-polar fuzzy graphs are discussed.
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