Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADM
The main objective of this study is to introduce the concepts of some connectivity parameters and dominations in the frame of bipolar picture fuzzy influence graphs and explore their application in multi-attribute decision-making. Due to its inherent prosperities, bipolar picture fuzzy influence gra...
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| Format: | Article |
| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10843184/ |
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| author | Waheed Ahmad Khan Mahnoor Bushra Trung Tuan Nguyen Minh Hoan Pham Hai van Pham |
| author_facet | Waheed Ahmad Khan Mahnoor Bushra Trung Tuan Nguyen Minh Hoan Pham Hai van Pham |
| author_sort | Waheed Ahmad Khan |
| collection | DOAJ |
| description | The main objective of this study is to introduce the concepts of some connectivity parameters and dominations in the frame of bipolar picture fuzzy influence graphs and explore their application in multi-attribute decision-making. Due to its inherent prosperities, bipolar picture fuzzy influence graphs is a powerful mathematical tool for addressing uncertain problems where fuzzy influence graphs, bipolar fuzzy influence graph and picture fuzzy influence graph may fail to yield precise results. Initially, some useful terms related to connectivity parameters like bipolar picture fuzzy influence path and its strength, bipolar picture fuzzy influence pair, weak bipolar picture fuzzy influence pair, strongest bipolar picture fuzzy influence pair, strong bipolar picture fuzzy influence pair etc are introduced. Following this, several characteristics of these terms in the domain of bipolar picture fuzzy influence graphs are explored. The concepts of complete-BPPFIGs, size of BPPFIG, minimum strong bipolar picture fuzzy influence pair domination numbers are also investigated. To demonstrate effectiveness of this study, we present a bipolar picture fuzzy influence graphs model to identify the brand’s store with the best shopping variety. Comparative study establishes the fact that our presented model based on BPPFIGs is more efficient and flexible than the other existing models in the literature. |
| format | Article |
| id | doaj-art-3534158411a241f1a42193bfeddaed1c |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-3534158411a241f1a42193bfeddaed1c2025-01-29T00:01:05ZengIEEEIEEE Access2169-35362025-01-0113157731579410.1109/ACCESS.2025.353000910843184Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADMWaheed Ahmad Khan0https://orcid.org/0000-0002-7009-5493Mahnoor Bushra1Trung Tuan Nguyen2https://orcid.org/0000-0003-3249-2444Minh Hoan Pham3https://orcid.org/0000-0002-5009-2295Hai van Pham4https://orcid.org/0000-0001-8325-1662Department of Mathematics, Division of Science and Technology, University of Education, Attock Campus, Lahore, Punjab, PakistanDepartment of Mathematics, Division of Science and Technology, University of Education, Attock Campus, Lahore, Punjab, PakistanCollege of Technology, National Economics University, Hai Bà Trung, Hanoi, VietnamCollege of Technology, National Economics University, Hai Bà Trung, Hanoi, VietnamSchool of Information and Communication Technology, Hanoi University of Science and Technology, Hanoi, VietnamThe main objective of this study is to introduce the concepts of some connectivity parameters and dominations in the frame of bipolar picture fuzzy influence graphs and explore their application in multi-attribute decision-making. Due to its inherent prosperities, bipolar picture fuzzy influence graphs is a powerful mathematical tool for addressing uncertain problems where fuzzy influence graphs, bipolar fuzzy influence graph and picture fuzzy influence graph may fail to yield precise results. Initially, some useful terms related to connectivity parameters like bipolar picture fuzzy influence path and its strength, bipolar picture fuzzy influence pair, weak bipolar picture fuzzy influence pair, strongest bipolar picture fuzzy influence pair, strong bipolar picture fuzzy influence pair etc are introduced. Following this, several characteristics of these terms in the domain of bipolar picture fuzzy influence graphs are explored. The concepts of complete-BPPFIGs, size of BPPFIG, minimum strong bipolar picture fuzzy influence pair domination numbers are also investigated. To demonstrate effectiveness of this study, we present a bipolar picture fuzzy influence graphs model to identify the brand’s store with the best shopping variety. Comparative study establishes the fact that our presented model based on BPPFIGs is more efficient and flexible than the other existing models in the literature.https://ieeexplore.ieee.org/document/10843184/Bipolar picture fuzzy influence graphs (BPPFIGs)bipolar picture fuzzy influence path (BPPFIP)bipolar picture fuzzy influence pair (BPPFIP)strong bipolar picture fuzzy influence pair domination number |
| spellingShingle | Waheed Ahmad Khan Mahnoor Bushra Trung Tuan Nguyen Minh Hoan Pham Hai van Pham Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADM IEEE Access Bipolar picture fuzzy influence graphs (BPPFIGs) bipolar picture fuzzy influence path (BPPFIP) bipolar picture fuzzy influence pair (BPPFIP) strong bipolar picture fuzzy influence pair domination number |
| title | Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADM |
| title_full | Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADM |
| title_fullStr | Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADM |
| title_full_unstemmed | Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADM |
| title_short | Some Novel Concepts of Bipolar Picture Fuzzy Influence Graphs Models With Application Toward MADM |
| title_sort | some novel concepts of bipolar picture fuzzy influence graphs models with application toward madm |
| topic | Bipolar picture fuzzy influence graphs (BPPFIGs) bipolar picture fuzzy influence path (BPPFIP) bipolar picture fuzzy influence pair (BPPFIP) strong bipolar picture fuzzy influence pair domination number |
| url | https://ieeexplore.ieee.org/document/10843184/ |
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