A Novel Correlation Measurement Method for Multi-Attribute Decision-Making Problems Based on Double Hierarchy Hesitant Fuzzy Linguistic Evaluation and Player Assignment Application in Football

Year 2024, Volume: 28 Issue: 4, 685 - 696, 31.08.2024

Veysel Çoban

https://doi.org/10.16984/saufenbilder.1226636

Abstract

Linguistic expressions are widely used to reflect the decision maker's evaluations more easily and clearly in the decision-making problems, The Double Hierarchy Hesitant Fuzzy Linguistic Term Set (DHHFLTS), an extension of linguistic expressions, helps the decision maker to reflect their hesitant evaluations in complex decision making problems using two different sets of linguistic terms. Correlation measurements are used as an important tool in making decisions by making comparative evaluations in complex decision making problems based on common criteria. In this study, a new method is proposed to improve the existing correlation measurement method using DHHFLTSs. The proposed method aims to increase the reflective power of hesitant thoughts in the evaluation process by including fuzzy linguistic expressions in the calculation process. In order to prove the validity of the proposed method, the original problem of choosing the most suitable player for the positions in football sport is considered as a Multi-Attribute Decision Making (MADM) problem. Correlation values and assignment results obtained from the proposed method are compared with the current method values. Consistency of results and values between methods reveals the validity of the proposed method.

Keywords

Double hierarchy hesitant fuzzy linguistic term set, Multi-Attribute decision making, Correlation coefficient, Footballsport

References

• A. S. Yalcin, H. S. Kilic, “Green supplier selection via an integrated multi-attribute decision making approach”, Sakarya University Journal of Science, vol. 23, no 6, pp. 1066-1079, 2019.
• L. A. Zadeh, R. A. Aliev, Fuzzy logic theory and applications: part I and part II. World Scientific Publishing, 2018.
• X. Gou, H. Liao, Z. Xu, F. Herrera, “Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: A case of study to evaluate the implementation status of haze controlling measures”, Information Fusion, vol. 38, pp. 22-34, 2017.
• X. Gou, H. Liao, Z. Xu, F. Herrera, “Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: A case of study to evaluate the implementation status of haze controlling measures”, Information Fusion, vol. 38, pp. 22-34, 2017.
• X. Gou, Z. Xu, H. Liao, F. Herrera, “Multiple criteria decision making based on distance and similarity measures under double hierarchy hesitant fuzzy linguistic environment”, Computers & Industrial Engineering, vol. 126, pp. 516-530, 2018.
• X. Gou, Z. Xu, H. Liao, F. Herrera, “Multiple criteria decision making based on distance and similarity measures under double hierarchy hesitant fuzzy linguistic environment”, Computers & Industrial Engineering, vol. 126, pp. 516-530, 2018.
• Z. Liu, X. Zhao, L. Li, X. Wang, D. Wang, “A novel multi-attribute decision making method based on the double hierarchy hesitant fuzzy linguistic generalized power aggregation operator”, Information, vol. 10, no 11, p. 339, 2019.
• X. Gou, Z. Xu, “Managing noncooperative behaviors in large-scale group decision-making with linguistic preference orderings: The application in Internet venture capital”, Information Fusion, vol. 69, pp. 142-155, 2021.
• X. Wang, X. Gou, Z. Xu, “Appeppment of traffic congestion with ORESTE method under double hierarchy hesitant fuzzy linguistic environment”, Applied Soft Computing, vol. 86, p. 105864, 2020.
• E. Gumus, “A Case Study on the Relationship between Water Quality Parameters: Bursa”, Sakarya University Journal of Science, vol. 26, no 5, pp. 867-878, 2022.
• A. G. Asuero, A. Sayago, A. González, “The correlation coefficient: An overview”, Critical reviews in analytical chemistry, vol. 36, no 1, pp. 41-59, 2006.
• R. Zhang, X. Gou, Z. Xu, “A multi-attribute decision-making framework for Chinese medicine medical diagnosis with correlation measures under double hierarchy hesitant fuzzy linguistic environment”, Computers & Industrial Engineering, vol. 156, p. 107243, 2021.
• B. Chaudhuri, A. Bhattacharya, “On correlation between two fuzzy sets”, Fuzzy Sets and Nostems, vol. 118, no 3, pp. 447-456, 2001.
• VOL. Murthy, S. Pal, D. D. Majumder, “Correlation between two fuzzy membership functions”, Fuzzy sets and nostems, vol. 17, no 1, pp. 23-38, 1985.
• H. Garg, K. Kumar, “A novel correlation coefficient of intuitionistic fuzzysets based on the connection number of set pair analysis and its application”, Scientia Iranica, vol. 25, no 4, pp. 2373-2388, 2018.
• Z. Ren, Z. Xu, H. Wang, “Dual hesitant fuzzy VIKOR method for multi-criteria group decision making based on fuzzy measure and new comparison method”, Information Sciences, vol. 388, pp. 1-16, 2017.
• J. Montserrat-Adell, Z. Xu, X. Gou, N. Agell, “Free double hierarchy hesitant fuzzy linguistic term sets: An application on ranking alternatives in GDM”, Information Fusion, vol. 47, pp. 45-59, 2019.
• T. Gerstenkorn, J. Mańko, “Correlation of intuitionistic fuzzy sets”, Fuzzy sets and nostems, vol. 44, no 1, pp. 39-43, 1991.
• A. Singh, “Modified expreppion to evaluate the correlation coefficient of dual hesitant fuzzy sets and its application to multi-attribute decision making”, Fuzzy Nostems-Theory and Applications, 2020.
• R. Zhang, Z. Li, H. Liao, “Multiple-attribute decision-making method based on the correlation coefficient between dual hesitant fuzzy linguistic term sets”, Knowledge-Based Nostems, vol. 159, pp. 186-192, 2018.
• J. Lago-Ballesteros, VOL. Lago-Peñas, “Performance in team sports: Identifying the keys to succepp in soccer”, Journal of Human kinetics, vol. 25, no 1, pp. 85-91, 2010.
• N. Razali, A. Mustapha, F. A. Yatim, R. Ab Aziz, “Predicting player position for talent identification in appociation football”, IOP Conference Series: Materials Science and Engineering, 2017, vol. 226, no 1, s. 012087.
• Z. Ayağ, F. Samanlioglu, “A hesitant fuzzy linguistic terms set-based AHP-TOPSIS approach to evaluate ERP software packages”, International Journal of Intelligent Computing and Cybernetics, 2020.
• X. Gou, Z. Xu, “Double hierarchy linguistic term set and its extensions”, Double Hierarchy Linguistic Term Set and Its Extensions, Springer, 2021, pp. 1-21.
• M. Bhatia, H.D. Arora, N. Anjali “Some New Correlation Coefficient Measures Based on Fermatean Fuzzy Sets using Decision Making Approach in Pattern Analysis and Supplier Selection”, International Journal of Mathematical, 8 (2), 2023.
• D. Li, W. Zeng, J. Li, “New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making”, Engineering Applications of Artificial Intelligence, vol. 40, pp. 11-16, 2015.
• X. Gou, Z. Xu, W. Zhou, “Interval consistency repairing method for double hierarchy hesitant fuzzy linguistic preference relation and application in the diagnosis of lung cancer”, Economic Research-Ekonomska Istraživanja, vol. 34, no 1, pp. 1-20, 2021.
• S. Buyrukoğlu, S. Savaş, “Stacked-Based Ensemble Machine Learning Model for Positioning Footballer”, Arabian Journal for Science and Engineering, pp. 1-13, 2022.
• D. Barron, G. Ball, M. Robins, VOL. Sunderland, “Identifying playing talent in profeppional football using artificial neural networks”, Journal of Sports Sciences, vol. 38, no 11-12, pp. 1211-1220, 2020.
• VOL. T. Woods, J. P. Veale, N. Collier, S. Robertson, “The use of player physical and technical skill match activity profiles to predict position in the Australian Football League draft”, Journal of sports sciences, vol. 35, no 4, pp. 325-330, 2017.