Novel Concepts in Bipolar Fuzzy Graphs with Applications
Many problems of practical interest can be modeled and solved by using bipolar graph algorithms. Bipolar fuzzy graph (BFG), belonging to fuzzy graphs (FGs) family, has good capabilities when facing with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of ϑ,δ−ho...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8162474 |
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| _version_ | 1832565818583416832 |
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| author | Chang Wan Fei Deng Shitao Li S. Omidbakhsh Amiri A. A. Talebi H. Rashmanlou |
| author_facet | Chang Wan Fei Deng Shitao Li S. Omidbakhsh Amiri A. A. Talebi H. Rashmanlou |
| author_sort | Chang Wan |
| collection | DOAJ |
| description | Many problems of practical interest can be modeled and solved by using bipolar graph algorithms. Bipolar fuzzy graph (BFG), belonging to fuzzy graphs (FGs) family, has good capabilities when facing with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of ϑ,δ−homomorphism of BFGs and classify homomorphisms (HMs), weak isomorphisms (WIs), and co-weak isomorphisms (CWIs) of BFGs by ϑ,δ−HMs. Also, an application of homomorphism of BFGs has been presented by using coloring-FG. Universities are very important organizations whose existence is directly related to the general health of the society. Since the management in each department of the university is very important, therefore, we have tried to determine the most effective person in a university based on the performance of its staff. |
| format | Article |
| id | doaj-art-d6dcd4225f7c43c9b212570ff3fd120f |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d6dcd4225f7c43c9b212570ff3fd120f2025-02-03T01:06:42ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/8162474Novel Concepts in Bipolar Fuzzy Graphs with ApplicationsChang Wan0Fei Deng1Shitao Li2S. Omidbakhsh Amiri3A. A. Talebi4H. Rashmanlou5Guangdong Polytechnic of Science and TechnologyCollege of Information Science and TechnologyShenzhen Tourism College of Jinan UniversityDepartment of Mathematics University of MazandaranDepartment of Mathematics University of MazandaranDepartment of Mathematics University of MazandaranMany problems of practical interest can be modeled and solved by using bipolar graph algorithms. Bipolar fuzzy graph (BFG), belonging to fuzzy graphs (FGs) family, has good capabilities when facing with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of ϑ,δ−homomorphism of BFGs and classify homomorphisms (HMs), weak isomorphisms (WIs), and co-weak isomorphisms (CWIs) of BFGs by ϑ,δ−HMs. Also, an application of homomorphism of BFGs has been presented by using coloring-FG. Universities are very important organizations whose existence is directly related to the general health of the society. Since the management in each department of the university is very important, therefore, we have tried to determine the most effective person in a university based on the performance of its staff.http://dx.doi.org/10.1155/2022/8162474 |
| spellingShingle | Chang Wan Fei Deng Shitao Li S. Omidbakhsh Amiri A. A. Talebi H. Rashmanlou Novel Concepts in Bipolar Fuzzy Graphs with Applications Journal of Mathematics |
| title | Novel Concepts in Bipolar Fuzzy Graphs with Applications |
| title_full | Novel Concepts in Bipolar Fuzzy Graphs with Applications |
| title_fullStr | Novel Concepts in Bipolar Fuzzy Graphs with Applications |
| title_full_unstemmed | Novel Concepts in Bipolar Fuzzy Graphs with Applications |
| title_short | Novel Concepts in Bipolar Fuzzy Graphs with Applications |
| title_sort | novel concepts in bipolar fuzzy graphs with applications |
| url | http://dx.doi.org/10.1155/2022/8162474 |
| work_keys_str_mv | AT changwan novelconceptsinbipolarfuzzygraphswithapplications AT feideng novelconceptsinbipolarfuzzygraphswithapplications AT shitaoli novelconceptsinbipolarfuzzygraphswithapplications AT somidbakhshamiri novelconceptsinbipolarfuzzygraphswithapplications AT aatalebi novelconceptsinbipolarfuzzygraphswithapplications AT hrashmanlou novelconceptsinbipolarfuzzygraphswithapplications |