Generalized Hamacher Aggregation Operators for Intuitionistic Uncertain Linguistic Sets: Multiple Attribute Group Decision Making Methods
Round 1
Reviewer 1 Report
The paper presented to Information is adequate to Information journal but some issues must be improved to achieve a publishable paper:
Preliminaries: Authors must add information about Multiple attribute group decision making.
Illustrative Example: Authors propose a Logistic problem as an example of application of their solution, however, the problem is only solved with the application of their research. This example must be extended to a real world in which authors must add a solution readable by less technical readers.
References. Some relevant references are missing. Please review:
JA Morente-Molinera, G Kou, R González-Crespo, JM Corchado,Solving multi-criteria group decision making problems under environments with a high number of alternatives using fuzzy ontologies and multi-granular linguistic modelling methods, Knowledge-Based Systems 137, 54-64, 2017.
A Idrus, MA Mahmoud, MS Ahmad, A Yahya, H Husen, A Solution Generator Algorithm for Decision Making based Automated Negotiation in the Construction Domain, International Journal of Interactive Multimedia & Artificial Intelligence 4 (6), 2017.
P Bagga, A Joshi, R Hans, QoS based Web Service Selection and Multi-Criteria Decision Making Methods,International Journal of Interactive Multimedia and Artificial Intelligence 5(4), 2019.
RA Carrasco, MF Blasco, J GarcÃa-Madariaga, E Herrera-Viedma, A Fuzzy Linguistic RFM Model Applied to Campaign Management, International Journal of Interactive Multimedia and Artificial Intelligence 5(4), 2019.Author Response
Response to Reviewer 1 Comments
Point 1: Authors propose a Logistic problem as an example of application of their solution, however, the problem is only solved with the application of their research. This example must be extended to a real world in which authors must add a solution readable by less technical readers.
Response 1: We added some readable content including the choices of suppliers is an important topic in the supply chain management ... That is purchasing department of the overseas multi-national corporation ought to choose the first supplier to seek better development to the paragraph of the 5th. Illustrative example and discussion.
Point 2: References. Some relevant references are missing. Please review:
JA Morente-Molinera, G Kou, R González-Crespo, JM Corchado,Solving multi-criteria group decision making problems under environments with a high number of alternatives using fuzzy ontologies and multi-granular linguistic modelling methods, Knowledge-Based Systems 137, 54-64, 2017.
A Idrus, MA Mahmoud, MS Ahmad, A Yahya, H Husen, A Solution Generator Algorithm for Decision Making based Automated Negotiation in the Construction Domain, International Journal of Interactive Multimedia & Artificial Intelligence 4 (6), 2017.
P Bagga, A Joshi, R Hans, QoS based Web Service Selection and Multi-Criteria Decision Making Methods,International Journal of Interactive Multimedia and Artificial Intelligence 5(4), 2019.
RA Carrasco, MF Blasco, J GarcÃa-Madariaga, E Herrera-Viedma, A Fuzzy Linguistic RFM Model Applied to Campaign Management, International Journal of Interactive Multimedia and Artificial Intelligence 5(4), 2019.
Response 2: We added the valuable references in the revised manuscript and the corresponding labeling in the 1 introduction.
Thank you very much for your valuable advice.
Best regards,
All authors.
Reviewer 2 Report
Thank you for inviting me as a reviewer for manuscript titled Generalized Hamacher Aggregation Operators for Intuitionistic Uncertain Linguistic Sets: Multiple Attribute Group Decision Making Methods.
This paper presents interesting application of Hamacher and Einstein aggregation operators in group decision making. Presented methodology has a great potential in decision making process, especially in uncertainty environment where all information regarding evaluation criteria are unknown. So, this topic in important for investigation. Authors presented six aggregation operators with intuitionistic linguistic sets: ULGHWA, IULGHOWA, HIULWGA, HIULOWA, HIULOWGA and IULGHHWA operator. Results are good and well presented. In my opinion the paper is almost ready for the publication. Before final acceptance of the paper, authors should revise the paper according below specific comments.
- Remove typos from all text.
- Page 1, line 39,40 – this text should be paraphrased. I can’t understand the point of this sentence.
- Introduction section contains literature review and from methodology part of view I have no problem with that. The authors presents extension of various aggregation operators in uncertainty environments. But, I suggest authors to clearly summarise what specific advantages brings your approach. Please clearly summarise what specific advantages brings your approach.
Also, authors should answer on several questions: Why do you study this? What new brings your MCDM approach? What are advantages of these aggregation operators? What is the aim of this paper?
- In introduction section authors presented a literature review which summarise application of aggregation operators in uncertainty theories. Authors should also refer to below references which are presenting application various uncertainty sets and aggregators in MCDM problems:
A novel approach for the selection of power generation technology using an linguistic neutrosophic combinative... Energies, 11(9), 2489;
Normalized weighted geometric Bonferroni mean operator of interval rough numbers – application in interval rough DEMATEL-COPRAS. FU Mech. Eng. 2018, 16(2), 171-191;
New multi-criteria LNN WASPAS model for evaluating the work of advisors in the transport of hazardous goods. Neural Computing and Applications;
A multicriteria model for the selection of the transport service provider: A single valued neutrosophic DEMATEL multicriteria model. Decision Making: Applications in Management and Engineering, 1 (2), 121-130;
Si, A., Das, S., & Kar, S. (2019). An approach to rank picture fuzzy numbers for decision making problems. Decision Making: Applications in Management and Engineering. https://doi.org/10.31181/dmame1902049s;
Determining the importance of the criteria of traffic accessibility using fuzzy AHP and rough AHP method. Decision Making: Applications in Management and Engineering, 2(1), 86-104.
- Remove typos from heading of sections, like Section 3.1.
- Since this is a new approach, authors should (for better understanding and future wide implementation in research) use numerical examples after definitions/theorems. Add examples for equations (8)-(11) and other Eqns. Add examples for developed aggregation operators, with details in calculations.
- Line 268, 281 etc. – What is Hammer intuitionistic uncertain linguistic aggregation operator? Introduce this aggregation operator at least in Appendix section.
- Section 5 - authors presented impressive results, but should provide detail calculations for proposed example. Try in a better way to show the results. Kindly explain your proposed approach steps with the numerical example steps. Some calculations should be presented. That will help to the readers to better understanding and future implementation this very innovative approach.
- Please summarise the advantages and limitations of the proposed method in practical applications.
- The authors are urged to give more proof and explanation about the validity or practicability of the proposed method.
I must congratulation to the authors for effort they made and provided results. I will review the final version of the paper with pleasure. Once again, congrats to the Authors.
Author Response
Response to Reviewer 2 Comments
Point 1: Remove typos from all text.
Response 1: We have checked the full text and removed typos.
Point 2: Introduction section contains literature review and from methodology part of view I have no problem with that. The authors presents extension of various aggregation operators in uncertainty environments. But, I suggest authors to clearly summarise what specific advantages brings your approach. Please clearly summarise what specific advantages brings your approach.
Also, authors should answer on several questions: Why do you study this? What new brings your MCDM approach? What are advantages of these aggregation operators? What is the aim of this paper?
Response 2: The existing aggregation operators for intuitionistic uncertain linguistic sets are mostly based on algebraic t-norm and s-norm. However, in the existing literature few authors have done some research on the MAGDM problems under intuitionistic uncertain linguistic environment based on Hamacher operations. For this purpose, the text presents an approach to MAGDM based on some generalized Hamacher aggregation operators for intuitionistic uncertain linguistic sets. And the prominent advantages of intuitionistic uncertain linguistic variables showed in the second paragraph of 1 Introduction.
Point 3: In introduction section authors presented a literature review which summarise application of aggregation operators in uncertainty theories. Authors should also refer to below references which are presenting application various uncertainty sets and aggregators in MCDM problems:
A novel approach for the selection of power generation technology using an linguistic neutrosophic combinative... Energies, 11(9), 2489;
Normalized weighted geometric Bonferroni mean operator of interval rough numbers – application in interval rough DEMATEL-COPRAS. FU Mech. Eng. 2018, 16(2), 171-191;
New multi-criteria LNN WASPAS model for evaluating the work of advisors in the transport of hazardous goods. Neural Computing and Applications;
A multicriteria model for the selection of the transport service provider: A single valued neutrosophic DEMATEL multicriteria model. Decision Making: Applications in Management and Engineering, 1 (2), 121-130;
Si, A., Das, S., & Kar, S. (2019). An approach to rank picture fuzzy numbers for decision making problems. Decision Making: Applications in Management and Engineering. https://doi.org/10.31181/dmame1902049s;
Determining the importance of the criteria of traffic accessibility using fuzzy AHP and rough AHP method. Decision Making: Applications in Management and Engineering, 2(1), 86-104.
Response 3: We added the valuable references in the revised manuscript and the corresponding labeling in the 1 introduction.
Point 4: Section 5 - authors presented impressive results, but should provide detail calculations for proposed example. Try in a better way to show the results. Kindly explain your proposed approach steps with the numerical example steps. Some calculations should be presented. That will help to the readers to better understanding and future implementation this very innovative approach.
Response 4: The detailed calculation process, please see the 5. Illustrative example and discussion including 5.1 and 5.2. The method of calculation is according to the 4. An approach to MAGDM based on generalized Hamacher operator with intuitionistic uncertain linguistic information.
Point 5: Please summarise the advantages and limitations of the proposed method in practical applications.
Response 5: Based on Hamacher operations, we develop Hamacher aggregation operators, which generalized the arithmetic aggregation operators and geometric aggregation operators and extended the algebraic aggregation operators and Einstein aggregation operators. Some special cases of the two operators with respect to the parameters be discussed in detail. We develop the intuitionistic uncertain linguistic generalized Hamacher hybrid weighted average operator to reflect the importance degrees of both the given intuitionistic uncertain linguistic variables and their ordered positions.
Thank you very much for your valuable advice.
Best regards,
All authors.
Round 2
Reviewer 1 Report
Accept as is
Reviewer 2 Report
Authors have improved the previous version of this paper. So, it can be now published by the journal.
