{"title":"网络中的中性毕达哥拉斯模糊最短路径","authors":"M. Basha, M. M. Jabarulla, Broumi Said","doi":"10.54216/jnfs.060103","DOIUrl":null,"url":null,"abstract":"We began a novel technique to dealing with the Neutrosophic Pythagorean shortest route problem in a network in this paper by representing each edge weight as a triangular fuzzy Pythagorean number with dependent Neutrosophic components and Pythagorean fuzzy graph condition.0≤μ_1 (v_i^' )^2+β_1 (v_i^' )^2+σ_1 (v_i^' )^2≤2. The main purpose of this article is to show how to use Neutrosophic Pythagorean fuzzy graphs. As a result, we created the proposed method, which also delivers the shortest path length from the source node (SN) to the destination node by using a ranking function for the Neutrosophic Pythagorean fuzzy Triangular number. Finally, an illustrative instance is supplied for validation.","PeriodicalId":438286,"journal":{"name":"Journal of Neutrosophic and Fuzzy Systems","volume":"138 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Neutrosophic Pythagorean Fuzzy Shortest Path in a Network\",\"authors\":\"M. Basha, M. M. Jabarulla, Broumi Said\",\"doi\":\"10.54216/jnfs.060103\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We began a novel technique to dealing with the Neutrosophic Pythagorean shortest route problem in a network in this paper by representing each edge weight as a triangular fuzzy Pythagorean number with dependent Neutrosophic components and Pythagorean fuzzy graph condition.0≤μ_1 (v_i^' )^2+β_1 (v_i^' )^2+σ_1 (v_i^' )^2≤2. The main purpose of this article is to show how to use Neutrosophic Pythagorean fuzzy graphs. As a result, we created the proposed method, which also delivers the shortest path length from the source node (SN) to the destination node by using a ranking function for the Neutrosophic Pythagorean fuzzy Triangular number. Finally, an illustrative instance is supplied for validation.\",\"PeriodicalId\":438286,\"journal\":{\"name\":\"Journal of Neutrosophic and Fuzzy Systems\",\"volume\":\"138 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Neutrosophic and Fuzzy Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54216/jnfs.060103\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Neutrosophic and Fuzzy Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54216/jnfs.060103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Neutrosophic Pythagorean Fuzzy Shortest Path in a Network
We began a novel technique to dealing with the Neutrosophic Pythagorean shortest route problem in a network in this paper by representing each edge weight as a triangular fuzzy Pythagorean number with dependent Neutrosophic components and Pythagorean fuzzy graph condition.0≤μ_1 (v_i^' )^2+β_1 (v_i^' )^2+σ_1 (v_i^' )^2≤2. The main purpose of this article is to show how to use Neutrosophic Pythagorean fuzzy graphs. As a result, we created the proposed method, which also delivers the shortest path length from the source node (SN) to the destination node by using a ranking function for the Neutrosophic Pythagorean fuzzy Triangular number. Finally, an illustrative instance is supplied for validation.