Combinatorial Optimization Model for Group Decision-Making

Korsemov, Dilian; Borissova, Daniela; Mustakerov, Ivan

doi:10.2478/cait-2018-0028

Abstract

In the article a combinatorial optimization model for group decision-making problem is proposed. The described model relies on extended simple additive weighting model. A distinctive feature of the proposed model is consideration of the importance of experts’ opinions by introducing weighted coefficient for each of experts. This allows flexible adjustment of differences in knowledge and experience of the group members responsible to determine most preferable alternative to be achieved. The numerical application is illustrated by an example for software engineering adopted from D. Krapohl. The obtained results show the practical applicability of the proposed combinatorial optimization model for group decision-making.

References

1. Abdullah, L., C. W. R. Adawiyah. Simple Additive Weighting Methods of Multi Criteria Decision Making and Applications: A Decade Review. – International Journal of Information Processing and Management, Vol. 5, 2014, No 1, pp. 39-49.
Search in Google Scholar Back to article
2. Angelova, V. Investigations in the Area of Soft Computing. Targeted State of the Art Report. – Cybernetics and Information Technologies. Vol. 9, 2009, No 1, pp. 18-24.
Search in Google Scholar Back to article
3. Borissova, D. Group Decision Making for Selection of k-Best Alternatives. – Compt. Rend. Acad. bulg. Sci., Vol. 69, 2016, No 2, pp. 183-190.
Search in Google Scholar Back to article
4. Borissova, D., I. Mustakerov, D. Korsemov. Business Intelligence System via Group Decision Making. – Cybernetics and Information Technologies, Vol. 16, 2016, No 3, pp. 219-229.10.1515/cait-2016-0045
Search in Google Scholar Back to article
5. Chai, J., J. N. K. Liu, E. W. T. Ngai. Application of Decision-Making Techniques in Supplier Selection: A Systematic Review of Literature. – Expert Systems with Applications, Vol. 40, 2013, No 10, pp. 3872-3885.10.1016/j.eswa.2012.12.040
Search in Google Scholar Back to article
6. Chen, F., M. Li, H. Wu. GACRM: A Dynamic Multi-Attribute Decision Making Approach to Large-Scale Web Service Composition. – Applied Soft Computing, Vol. 61, 2017, pp. 947-95810.1016/j.asoc.2017.09.022
Search in Google Scholar Back to article
7. De Boer, L., E. Labro, P. Morlacchi. A Review of Methods Supporting Supplier Selection. – European Journal of Purchasing & Supply Management, Vol. 7, 2001, No 2, pp. 75-89.10.1016/S0969-7012(00)00028-9
Search in Google Scholar Back to article
8. Encyclopedia of Electrical and Electronics Engineering. Vol. 15. J. G. Webster, Ed. New York, John Wiley & Sons, 1998, pp. 175-186.
Search in Google Scholar Back to article
9. Ho, W., X. Xu, P. K. Dey. Multi-Criteria Decision Making Approaches for Supplier Evaluation and Selection: A Literature Review. – European Journal of Operational Research, Vol. 202, 2010, No 1, pp. 16-24.10.1016/j.ejor.2009.05.009
Search in Google Scholar Back to article
10. Igarashi, M., L. Boer, O. Michelsen. Investigating the Anatomy of Supplier Selection in Green Public Procurement. – Journal of Cleaner Production, Vol. 108, 2015, Part A, pp. 442-450.10.1016/j.jclepro.2015.08.010
Search in Google Scholar Back to article
11. Ilieva, G. Group Decision Analysis with Interval Type-2 Fuzzy Numbers. – Cybernetics and Information Technologies, Vol. 17, 2017, No 1, pp. 31-44.10.1515/cait-2017-0003
Search in Google Scholar Back to article
12. Kaliszewski, I., D. Podkopaev. Simple Additive Weighting – A Metamodel for Multiple Criteria Decision Analysis Methods. – Expert Systems with Applications, Vol. 54, 2016, pp. 155-161.10.1016/j.eswa.2016.01.042
Search in Google Scholar Back to article
13. Keeney, R. L., H. Raiffa, 1993. Decisions with Multiple Objectives: Preferences and Value Trade-Offs. New York, Wiley. 569 p.10.1017/CBO9781139174084
Search in Google Scholar Back to article
14. Krapohl, D. A Structured Methodology for Group Decision Making. 2014. http://www.augmentedintel.com/wordpress/index.php/a-structured-methodology-for-group-decision-making/
Search in Google Scholar Back to article
15. Lee, L., R. Anderson. A Comparison of Compensatory and Non-Compensatory Decision Making Strategies in IT Project Portfolio Management. – International Research Workshop on IT Project Management 2009. http://aisel.aisnet.org/irwitpm2009/9
Search in Google Scholar Back to article
16. Mimovic, P. Application of Multi-Criteria Analysis in the Public Procurement Process Optimization. – Economic Themes, Vol. 54, 2016, No 1, pp. 103-128.10.1515/ethemes-2016-0006
Search in Google Scholar Back to article
17. Mustakerov, D. Borissova, E. Bantutov. Multiple-Choice Decision Making by Multicriteria Combinatorial Optimization. – International Journal Advanced Modeling and Optimization, Vol. 14, 2012, No 3, pp. 729-737.
Search in Google Scholar Back to article
18. Mustakerov, I., D. Borissova. A Web Application for Group Decision-Making Based on Combinatorial Optimization. – In: Proc. of 4th International Conference on Information Systems and Technologies, March 22-24, 2014, Valencia, Spain, pp. 46-56.
Search in Google Scholar Back to article
19. Peneva, V., I. Popchev. Aggregation of Fuzzy Relations Using Weighting Function. – Compt. Rend. Acad. bulg. Sci., Vol. 60, 2007, No 10, pp. 1047-1052.
Search in Google Scholar Back to article
20. Peneva, V., I. Popchev. Aggregation on Fuzzy Numbers in a Decision Making Situation. – Cybernetics and Systems, Vol. 32, 2001, No 8, pp. 871-885.10.1080/019697201753229845
Search in Google Scholar Back to article
21. Peneva, V., I. Popchev. Fuzzy Criteria Importance Depending on Membership Degrees of Fuzzy Relations. – Comptes Rendus de l’Academie bulgare des Sciences, Vol. 61, 2008, No 5, pp. 579-584.
Search in Google Scholar Back to article
22. Peneva, V., I. Popchev. Models for Decision Making by Fuzzy Relations and Fuzzy Numbers for Criteria Evaluations. – Compt. Rend. Acad. bulg. Sci., Vol. 62, 2009, No 10, pp. 1217-1222.
Search in Google Scholar Back to article
23. Peneva, V., I. Popchev. Multicriteria Decision Making Based on Fuzzy Relations. – Cybernetics and Information Technologies, Vol. 8, 2008, No 4, pp. 3-12.
Search in Google Scholar Back to article
24. Popchev, I., V. Peneva. An Algorithm for Comparison of Fuzzy Sets. – Fuzzy Sets and Systems, Elsevier Science Publishers, North-Holland, Amsterdam, Vol. 60, 1993, No 1, pp. 59-65.10.1016/0165-0114(93)90289-T
Search in Google Scholar Back to article
25. Sciancalepore, F., M. Falagario, N. Costantino, R. Pietroforte. Multi-Criteria Bid Evaluation of Public Projects. – In Proc. of Management and Innovation for a Sustainable Built Environment, Amsterdam, The Netherlands, 2011. http://resolver.tudelft.nl/uuid:6d5eb0f6-c4b8-4425-bbf9-473209a522d0
Search in Google Scholar Back to article
26. Tan, C., D. D. Wu, B. Ma. Group Decision Making with Linguistic Preference Relations with Application to Supplier Selection. – Expert Systems with Applications, Vol. 38, 2011, No 12, pp. 14382-14389.10.1016/j.eswa.2011.04.036
Search in Google Scholar Back to article
27. Triantaphyllou, E. Multi-Criteria Decision Making Methods. In: Multi-Criteria Decision Making Methods: A Comparative Study. – Applied Optimization, Vol. 44, Springer, Boston, MA, 2000. 290 pages.10.1007/978-1-4757-3157-6
Search in Google Scholar Back to article
28. Velasquez, M., P. T. Hester. An Analysis of Multi-Criteria Decision Making Methods. – International Journal of Operations Research, Vol. 10, 2013, No 2, pp. 56-66.
Search in Google Scholar Back to article
29. Wan, S.-P, G. L. Xu, J. Y. Dong. Supplier Selection Using ANP and ELECTRE II in Interval 2-Tuple Linguistic Environment. – Information Sciences, Vol. 385-386, 2017, pp. 19-38.10.1016/j.ins.2016.12.032
Search in Google Scholar Back to article
30. Yoon, K. P., Ch-L. Hwang. Multiple Attribute Decision Making: An Introduction. SAGE Publications, 1995, 75 pages.10.4135/9781412985161
Search in Google Scholar Back to article

Combinatorial Optimization Model for Group Decision-Making

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