Parameter Reductions of Bipolar Fuzzy Soft Sets with Their Decision-Making Algorithms

Round 1

Reviewer 1 Report

The paper presents a new method for solving decision-making problems based on bipolar fuzzy soft sets (BFSS). The paper also suggests some new parameter reduction techniques of BFSS.  The suggested techniques are presented, compared and exemplified by mathematical examples.  An application example is also given for the proposed reduction techniques. The proposed methods are very effective and practical. My recommendation to the editor is the paper to be accepted for publication.

Author Response

Thank you very much for your positive reaction.

Reviewer 2 Report

Paper: …. Line 360-361, Some decision-making applications are solved by our new approach to prove its validity including an application presented in [28]. Line 374 Conflicts of Interest: The authors declare that they have no conflict of interest.  …… Be so kind and please confirm that the conflict of interest not exist.

Please complete the article with a chapter: list of symbols and shortcuts used at paper.

For consideration: supplementing the paper with practical example focusing on engineering practice.

Please, explain the practical qualitative and quantitative advantages of using the proposed method in comparison to other published papers.

Author Response

1. Line 360-361, Some decision-making applications are solved by our new approach to prove its validity including an application presented in [28].

Our Response.

We have corrected it.

2. Line 374 Conflicts of Interest: The authors declare that they have no conflict of interest. Be so kind and please confirm that the conflict of interest not exist.

Our Response.

We have added it. Thank you for reminding us.

3. Please complete the article with a chapter: list of symbols and shortcuts used at paper.

Our Response.

We have added Table 1 (Notations) after Introduction to list the symbolsand shortcuts used in the paper.

4. For consideration: supplementing the paper with practical example focusing on engineering practice.

Our Response.

We have cited some references which supplement the paper with practical examples focusing on engineering practice (see Introduction).

5. Please, explain the practical qualitative and quantitative advantages of using the proposed method in comparison to other published papers.

Our Response.

We have explained the practical qualitative and quantitative advantages of using the proposed method in comparison to other published papers in Section 6 (Conclusion).

Thank you very much for your insightful comments and suggestions.