PONE-D-22-29739MAXIMUM MATCHING WITH APPLICATION BY USING BIPOLAR FUZZY INCIDENCE GRAPHSPLOS ONE

Dear Dr. Hussain,

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Ronnason Chinram, Ph.D.

Academic Editor

PLOS ONE

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Additional Editor Comments (if provided):

Your paper has been fully reviewed. Based upon my judgment and the reviewers comments, we inform you that your paper has received the major revision for the possible publication. Please see the comments of reviewers and kindly revise your paper and submit with the response letter at the earliest convenience.

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Yes

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2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: Yes

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3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: Yes

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4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

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5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: This is a nice research article. This paper should be accepted after a good revision.

Comments/Suggestions:

(1) Clearly describe the contributions in the Abstract section.

(2) An introduction should clearly highlight the motivation, problem statement, the objective of the paper, gap in the existing research and the novelty of the conducted research.

(3) English needs to be improved significantly.

(4) It would be great if you could improve the comparative analysis section.

(5) Expand literature review by citing related work. For example,

Graphs for the Analysis of Bipolar Fuzzy Information, Studies in Fuzziness and Soft Computing, Springer, DOI: 10.1007/978-981-15-8756-6, 401(2021).

(6) Change min by \\min , and max by \\max in the whole manuscript.

(7) Explain MMIBFIN problem in BBFIG more nicely.

Reviewer #2: This paper introduced a novel method to MAXIMUM MATCHING WITH APPLICATION BY USING BIPOLAR FUZZY

INCIDENCE GRAPHS.

1. COMMENT: ‘Abstract’ should be refined. There are some grammar mistakes and redundant expression which may lead to misunderstandings.

2. COMMENT: ‘Introduction’ and ‘Preliminaries’ should be shortened. Some of the contents can be merged.

3.: The example used in the paper is considered to illustrate the effectiveness of the proposed approach. However, the authors are suggested to conduct more experiments to show the effectiveness. In addition, more comparisons and analysis should be provided to prove the efficiency.

4. Please clearly describe the motivation of this paper in the Introduction Section of this paper.

5.Please clearly describe the contributions of this paper in the Abstract, the Introduction Section and the Conclusions Section of this paper.

6. Please add the following references regarding “Fuzzy graph” into the References Section of this paper and cite them in the Introduction Section of this paper:

“A Study of m−Polar Neutrosophic Graph with Applications”, Journal of Intelligent Fuzzy Systems, Journal of Intelligent Fuzzy Systems, vol. 38, no. 4, pp. 4809-4828, 2020

“A study on Regular Picture Fuzzy Graph with Applications in Communication Networks” Journal of Intelligent Fuzzy Systems,2020

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Reviewer #1: No

Reviewer #2: No

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Applications of maximum matching by using bipolar fuzzy incidence graphs

PONE-D-22-29739R1

Dear Dr. Hussain,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

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If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

Kind regards,

Ronnason Chinram, Ph.D.

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

The authors have revised the paper very carefully and addressed all the points very well, which were raised during the review process. This paper is more interesting. Hence I recommend accepting the paper for publication.

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: All comments have been addressed

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2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

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5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: . Some characteristics of maximum matching 9

principal numbers in BF IG are explained which are helpful for solving the vertex and 10

incidence pair fuzzy maximization problems. Lastly, obtained maximum matching 11

principal numbers by using the matching concept to prove its applicability and 12

effectiveness for the applications in bipartite BF IG and also for the BF IG.

I accept the revised version.

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7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: No

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