A novel approach to Fuzzy mixed graph structure with application towards trade relations between countries
Abstract Many of the phenomena around us are a combination of directed and undirected relationships between different subjects, which will be more complex despite the existence of multiple relationships between objects. For example, in business relations between countries and social networks, commun...
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| Format: | Article |
| Language: | English |
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Springer
2024-12-01
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| Series: | Complex & Intelligent Systems |
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| Online Access: | https://doi.org/10.1007/s40747-024-01701-y |
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| author | Xiaolong Shi Yongjun Dai Ali Asghar Talebi Hossein Rashmanlou Seyed Hossein Sadati |
| author_facet | Xiaolong Shi Yongjun Dai Ali Asghar Talebi Hossein Rashmanlou Seyed Hossein Sadati |
| author_sort | Xiaolong Shi |
| collection | DOAJ |
| description | Abstract Many of the phenomena around us are a combination of directed and undirected relationships between different subjects, which will be more complex despite the existence of multiple relationships between objects. For example, in business relations between countries and social networks, communication is sometimes one-way or two-way. Checking and processing such information is managed in mixed graphs. Previous research has been based on the assumption that there is a general relationship between all vertices in a mixed graph. In this article, a new framework for fuzzy information management is introduced by combining fuzzy mixed graph and graph structure along with mentioning its properties. The concept of connectedness has been considered as one of the topics in this study. In this regard, some of their properties were examined by introducing some basic concepts such as paths, cycles, bridges, and cut vertices. Also, some attributes such as degree, neighborhood, order and size are defined. The results showed that although there existed a close relationship between the fuzzy mixed graph structure and the graph structure, the existence of multiple and distinct relationships between the vertices has created new definitions of concepts. This change can be seen especially in the degree of nodes and neighborhoods. Finally, its application in the field of trade relations between countries is presented. |
| format | Article |
| id | doaj-art-7aeb1ae26dc74a32ac05d4bb12b91d2e |
| institution | Kabale University |
| issn | 2199-4536 2198-6053 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Springer |
| record_format | Article |
| series | Complex & Intelligent Systems |
| spelling | doaj-art-7aeb1ae26dc74a32ac05d4bb12b91d2e2025-02-02T12:49:33ZengSpringerComplex & Intelligent Systems2199-45362198-60532024-12-0111111510.1007/s40747-024-01701-yA novel approach to Fuzzy mixed graph structure with application towards trade relations between countriesXiaolong Shi0Yongjun Dai1Ali Asghar Talebi2Hossein Rashmanlou3Seyed Hossein Sadati4Institute of Computing Science and Technology, Guangzhou UniversityInstitute of Computing Science and Technology, Guangzhou UniversityDepartment of Mathematics, University of MazandaranSchool of Physics, Damghan UniversityDepartment of Mathematics, University of MazandaranAbstract Many of the phenomena around us are a combination of directed and undirected relationships between different subjects, which will be more complex despite the existence of multiple relationships between objects. For example, in business relations between countries and social networks, communication is sometimes one-way or two-way. Checking and processing such information is managed in mixed graphs. Previous research has been based on the assumption that there is a general relationship between all vertices in a mixed graph. In this article, a new framework for fuzzy information management is introduced by combining fuzzy mixed graph and graph structure along with mentioning its properties. The concept of connectedness has been considered as one of the topics in this study. In this regard, some of their properties were examined by introducing some basic concepts such as paths, cycles, bridges, and cut vertices. Also, some attributes such as degree, neighborhood, order and size are defined. The results showed that although there existed a close relationship between the fuzzy mixed graph structure and the graph structure, the existence of multiple and distinct relationships between the vertices has created new definitions of concepts. This change can be seen especially in the degree of nodes and neighborhoods. Finally, its application in the field of trade relations between countries is presented.https://doi.org/10.1007/s40747-024-01701-yFuzzy mixed graph structureFuzzy mixed $$\mu _{i}-path$$ μ i - p a t hConnectivity$$\mu _{i}-bridge$$ μ i - b r i d g e |
| spellingShingle | Xiaolong Shi Yongjun Dai Ali Asghar Talebi Hossein Rashmanlou Seyed Hossein Sadati A novel approach to Fuzzy mixed graph structure with application towards trade relations between countries Complex & Intelligent Systems Fuzzy mixed graph structure Fuzzy mixed $$\mu _{i}-path$$ μ i - p a t h Connectivity $$\mu _{i}-bridge$$ μ i - b r i d g e |
| title | A novel approach to Fuzzy mixed graph structure with application towards trade relations between countries |
| title_full | A novel approach to Fuzzy mixed graph structure with application towards trade relations between countries |
| title_fullStr | A novel approach to Fuzzy mixed graph structure with application towards trade relations between countries |
| title_full_unstemmed | A novel approach to Fuzzy mixed graph structure with application towards trade relations between countries |
| title_short | A novel approach to Fuzzy mixed graph structure with application towards trade relations between countries |
| title_sort | novel approach to fuzzy mixed graph structure with application towards trade relations between countries |
| topic | Fuzzy mixed graph structure Fuzzy mixed $$\mu _{i}-path$$ μ i - p a t h Connectivity $$\mu _{i}-bridge$$ μ i - b r i d g e |
| url | https://doi.org/10.1007/s40747-024-01701-y |
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