Complex Vague Graphs and Their Application in Decision-Making Problems
Fuzzy graph models are found everywhere in natural and human made structures, including process dynamics in biological, physical and social systems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those problems u...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9203801/ |
| _version_ | 1818734742687711232 |
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| author | Shouzhen Zeng Muhammad Shoaib Shahbaz Ali Qamar Abbas Muhammad Shahzad Nadeem |
| author_facet | Shouzhen Zeng Muhammad Shoaib Shahbaz Ali Qamar Abbas Muhammad Shahzad Nadeem |
| author_sort | Shouzhen Zeng |
| collection | DOAJ |
| description | Fuzzy graph models are found everywhere in natural and human made structures, including process dynamics in biological, physical and social systems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those problems using a fuzzy graph. A complex vague model is useful in the field of mathematics which gives more precision, comparability and flexibility to the system as compared to the vague model. In these years, a mathematical approach is a generalized approach of blending different aspects. According to the above mathematical approach, we investigate strong techniques which are based on complex vague graphs. The purpose of this research study is to present and explore the key properties including: Cartesian products, composition, strong product, semi-strong product and direct product of complex vague graphs with examples. Finally, we present application of complex vague graphs in decision-making problems. |
| first_indexed | 2024-12-18T00:10:12Z |
| format | Article |
| id | doaj.art-ea606524b31c4b41b93d4e57b4a84ea2 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-18T00:10:12Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-ea606524b31c4b41b93d4e57b4a84ea22022-12-21T21:27:42ZengIEEEIEEE Access2169-35362020-01-01817409417410410.1109/ACCESS.2020.30259749203801Complex Vague Graphs and Their Application in Decision-Making ProblemsShouzhen Zeng0https://orcid.org/0000-0002-3604-0843Muhammad Shoaib1Shahbaz Ali2https://orcid.org/0000-0002-5998-0053Qamar Abbas3Muhammad Shahzad Nadeem4School of Business, Ningbo University, Ningbo, ChinaDepartment of Mathematics, University of the Punjab, Lahore, PakistanDepartment of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, PakistanDepartment of Mathematics, Quaid-I-Azam University, Islamabad, PakistanDepartment of Mathematics, Quaid-I-Azam University, Islamabad, PakistanFuzzy graph models are found everywhere in natural and human made structures, including process dynamics in biological, physical and social systems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those problems using a fuzzy graph. A complex vague model is useful in the field of mathematics which gives more precision, comparability and flexibility to the system as compared to the vague model. In these years, a mathematical approach is a generalized approach of blending different aspects. According to the above mathematical approach, we investigate strong techniques which are based on complex vague graphs. The purpose of this research study is to present and explore the key properties including: Cartesian products, composition, strong product, semi-strong product and direct product of complex vague graphs with examples. Finally, we present application of complex vague graphs in decision-making problems.https://ieeexplore.ieee.org/document/9203801/Complex vague graphCartesian productscompositionstrong productsemi strong productdirect product |
| spellingShingle | Shouzhen Zeng Muhammad Shoaib Shahbaz Ali Qamar Abbas Muhammad Shahzad Nadeem Complex Vague Graphs and Their Application in Decision-Making Problems IEEE Access Complex vague graph Cartesian products composition strong product semi strong product direct product |
| title | Complex Vague Graphs and Their Application in Decision-Making Problems |
| title_full | Complex Vague Graphs and Their Application in Decision-Making Problems |
| title_fullStr | Complex Vague Graphs and Their Application in Decision-Making Problems |
| title_full_unstemmed | Complex Vague Graphs and Their Application in Decision-Making Problems |
| title_short | Complex Vague Graphs and Their Application in Decision-Making Problems |
| title_sort | complex vague graphs and their application in decision making problems |
| topic | Complex vague graph Cartesian products composition strong product semi strong product direct product |
| url | https://ieeexplore.ieee.org/document/9203801/ |
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