A study of competitions in different fields through graphs under bipolar picture fuzzy environment

Waheed Ahmad Khan; Hajra Begum; Trung Tuan Nguyen; Minh Hoan Pham; Hai Van Pham

doi:10.1371/journal.pone.0329192

Loading metrics

Open Access

Peer-reviewed

Research Article

A study of competitions in different fields through graphs under bipolar picture fuzzy environment

Waheed Ahmad Khan ,

Contributed equally to this work with: Waheed Ahmad Khan, Hajra Begum, Trung Tuan Nguyen, Minh Hoan Pham, Hai Van Pham

Roles Conceptualization, Formal analysis, Investigation, Methodology, Supervision, Writing – original draft, Writing – review & editing

* E-mail: sirwak2003@yahoo.com; haipv@soict.hust.edu.vn

Affiliation Division of Science and Technology, Department of Mathematics, University of Education Lahore, Attock Campus, Attock, Pakistan

https://orcid.org/0000-0002-7009-5493

⨯
Hajra Begum ,

Contributed equally to this work with: Waheed Ahmad Khan, Hajra Begum, Trung Tuan Nguyen, Minh Hoan Pham, Hai Van Pham

Roles Conceptualization, Formal analysis, Investigation, Methodology, Writing – original draft, Writing – review & editing

Affiliation Division of Science and Technology, Department of Mathematics, University of Education Lahore, Attock Campus, Attock, Pakistan
⨯
Trung Tuan Nguyen ,

Contributed equally to this work with: Waheed Ahmad Khan, Hajra Begum, Trung Tuan Nguyen, Minh Hoan Pham, Hai Van Pham

Roles Conceptualization, Formal analysis, Investigation, Methodology, Writing – original draft, Writing – review & editing

Affiliation College of Technology, National Economics University, Hanoi, Vietnam
⨯
Minh Hoan Pham ,

Contributed equally to this work with: Waheed Ahmad Khan, Hajra Begum, Trung Tuan Nguyen, Minh Hoan Pham, Hai Van Pham

Roles Conceptualization, Formal analysis, Investigation, Methodology, Writing – review & editing

Affiliation College of Technology, National Economics University, Hanoi, Vietnam
⨯
Hai Van Pham

Contributed equally to this work with: Waheed Ahmad Khan, Hajra Begum, Trung Tuan Nguyen, Minh Hoan Pham, Hai Van Pham

Roles Conceptualization, Formal analysis, Investigation, Methodology, Validation, Visualization, Writing – review & editing

* E-mail: sirwak2003@yahoo.com; haipv@soict.hust.edu.vn

Affiliation School of Information and Communication Technology, Hanoi University of Science and Technology, Hanoi, Vietnam
⨯

A study of competitions in different fields through graphs under bipolar picture fuzzy environment

Waheed Ahmad Khan,
Hajra Begum,
Trung Tuan Nguyen,
Minh Hoan Pham,
Hai Van Pham

Published: October 10, 2025
https://doi.org/10.1371/journal.pone.0329192

Reader Comments (0)

Post a new comment on this article

Subject Areas
?

For more information about PLOS Subject Areas, click here.
We want your feedback. Do these Subject Areas make sense for this article? Click the target next to the incorrect Subject Area and let us know. Thanks for your help!

Graphs
Is the Subject Area "Graphs" applicable to this article?

Thanks for your feedback.
Directed graphs
Is the Subject Area "Directed graphs" applicable to this article?

Thanks for your feedback.
Cell phones
Is the Subject Area "Cell phones" applicable to this article?

Thanks for your feedback.
Ecosystems
Is the Subject Area "Ecosystems" applicable to this article?

Thanks for your feedback.
Grasshoppers
Is the Subject Area "Grasshoppers" applicable to this article?

Thanks for your feedback.
Computer networks
Is the Subject Area "Computer networks" applicable to this article?

Thanks for your feedback.
Predation
Is the Subject Area "Predation" applicable to this article?

Thanks for your feedback.
Algorithms
Is the Subject Area "Algorithms" applicable to this article?

Thanks for your feedback.