{"title":"Some operations on strong intuitionistic fuzzy k-uniform hypergraphs","authors":"Qian Wang, Z. Gong","doi":"10.1109/FSKD.2017.8392989","DOIUrl":null,"url":null,"abstract":"Hypergraph is a useful tool to model complex systems and it could be considered as a natural generalizations of graphs. In this paper, the notion of strong intuitionistic fuzzy k-uniform hypergraph was applied and some operation of strong intuitionistic fuzzy k-uniform hypergraphs was defined, such as Cartesian product, normal product, strong product, lexicographic product, join, union. Further more, we proved if hypergraph H is formed by one of these operations, then this hypergraph is strong intuitionistic fuzzy k-uniform hypergraph.","PeriodicalId":236093,"journal":{"name":"2017 13th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 13th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FSKD.2017.8392989","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Hypergraph is a useful tool to model complex systems and it could be considered as a natural generalizations of graphs. In this paper, the notion of strong intuitionistic fuzzy k-uniform hypergraph was applied and some operation of strong intuitionistic fuzzy k-uniform hypergraphs was defined, such as Cartesian product, normal product, strong product, lexicographic product, join, union. Further more, we proved if hypergraph H is formed by one of these operations, then this hypergraph is strong intuitionistic fuzzy k-uniform hypergraph.
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