{"title":"强直觉模糊k-一致超图上的一些运算","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":"{\"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}","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}
Some operations on strong intuitionistic fuzzy k-uniform hypergraphs
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.