Group Decision Analysis with Interval Type-2 Fuzzy Numbers

Ilieva, Galina

doi:10.1515/cait-2017-0003

Abstract

This paper presentsagroup multi-criteria DEMATELand VIKORdecision analysis method with interval type-2 fuzzy sets. In order to compare normal fuzzy trapezoidal numbers, we convert them into crisp values using graded mean integration representation. Byacase study for selection of business intelligence platform, we prove that the proposed combination isafeasible solution that can work with benefits and costs criteria, while also reducing uncertainty in experts’assessments.

References

1. Bouzon, M., K. Govindan, C. Rodriguez. Evaluating Barriers for Reverse Logistics Implementation undera Multiple Stakeholders’ Perspective Analysis Using Grey Decision Making Approach. Resources. - Conservation and Recycling, 2017, Science Direct (in Press).10.1016/j.resconrec.2016.11.022
Search in Google Scholar Back to article
2. Büyüközkan, G., S. Güleryüz. An Integrated DEMATEL-ANP Approach for Renewable Energy Resources Selection in Turkey. - Production Economics. Vol. 182, 2016, pp. 435-448.10.1016/j.ijpe.2016.09.015
Search in Google Scholar Back to article
3. Chen, Y. C., Lien, H. P. Lien, G. H. Tzeng. Measures and Evaluation for Environment Watershed Plans Usinga Novel Hybrid MCDM Model. Expert Systems with Applications, Vol. 37, Issue 2, 2010, pp. 926-938.10.1016/j.eswa.2009.04.068
Search in Google Scholar Back to article
4. Firouzabadi, S., S. Mehriz i. ERP Software Quality Assessment Using Fuzzy VIKOR. - Uncertain Supply Chain Management. Vol. 3, 2015, No 2, pp. 189-196.10.5267/j.uscm.2014.12.001
Search in Google Scholar Back to article
5. Gartner. Magic Quadrant for Business Intelligence and Analytics Platforms. Gartner, Inc., 2016. 68 p.
Search in Google Scholar Back to article
6. Ghorabaee, M. K., M. Amiri, J. S. Sadaghiani, E. K. Zavadskas. Multi-Criteria Project Selection Using an Extended VIKOR Method with Interval Type-2 Fuzzy Sets. - Information Technologies and Decision Making, Vol. 14, 2015, Issue 05, pp. 993-1016.10.1142/S0219622015500212
Search in Google Scholar Back to article
7. Görener, A. ERP Software Selection Usinga Combined ANPand VIKOR Approach. - Havacilik Ve Uzay Teknolojileri Dergisi. Vol. 5, 2011, No 1, pp. 97-110.
Search in Google Scholar Back to article
8. Gul, M., E. Celik, N. Aydin, A. T. Gumus, A. F. Guneri, A State of the Art Literature Review of VIKORand its Fuzzy Extensions on Applications. - Applied Soft Computing, Vol. 46, 2016, pp. 60-89.10.1016/j.asoc.2016.04.040
Search in Google Scholar Back to article
9. Hori, S., Y. Shimiz u. Designing Methods of Human Interface for Supervisory Control Systems. - Control Engineering Practice, Vol. 7, 1999, No 11, pp. 1413-1419.10.1016/S0967-0661(99)00112-4
Search in Google Scholar Back to article
10. Hu, J., Y. Zhang, X. Chen, Y. Liu. Multi-Criteria Decision Making Method Based on Possibility Degree of Interval Type-2 Fuzzy Number. - Knowledge-Based Systems, Vol. 43, 2013, pp. 21-29.10.1016/j.knosys.2012.11.007
Search in Google Scholar Back to article
11. Ilieva, G. A Fuzzy Approach for Bidding Strategy Selection. - Cybernetics and Information Technologies, Vol. 12, 2012, No 1, pp. 61-69.10.2478/cait-2012-0005
Search in Google Scholar Back to article
12. Ilieva, G. TOPSIS Modification with Interval Type-2 Fuzzy Numbers. - Cybernetics and Information Technologies, Vol. 16, 2016, No 2, pp. 60-68.10.1515/cait-2016-0020
Search in Google Scholar Back to article
13. Lee, L.-W., S.-M. Chen. Fuzzy Interpolative Reasoning Using Interval Type-2 Fuzzy Sets. - In: N. T. Nguyen, L. Borzemski, A. Grzech, M. Ali, Eds. New Frontiers in Applied Artificial Intelligence, Springer, 2008, pp. 92-101.10.1007/978-3-540-69052-8_10
Search in Google Scholar Back to article
14. Mardani, A., A. Jusoh, E. K. Zavadska s. Fuzzy Multiple Criteria Decision-Making Techniques and Applications-Two Decades Review from 1994 to 2014. - Expert Systems with Applications, Vol. 42, 2015, Issue 8, pp. 4126-4148.10.1016/j.eswa.2015.01.003
Search in Google Scholar Back to article
15. Mendel, J. M., R. I. John. Interval Type-2 Fuzzy Logic Systems Made Simple. - IEEE Transactions on Fuzzy Systems, Vol. 14, 2006, No 6, pp. 808-821.10.1109/TFUZZ.2006.879986
Search in Google Scholar Back to article
16. Peneva, V., I. Popchev. Fuzzy Ordering on the Basis of Multi-Criteria Aggregation. - Cybernetics and Systems, Vol. 29, 1998, Issue 6, pp. 613-623.10.1080/019697298125542
Search in Google Scholar Back to article
17. Peneva, V., I. Popchev. Fuzzy Logic Operators in Decision-Making. - Cybernetics and Systems, Vol. 30, 1999, Issue 8, pp. 725-745.10.1080/019697299124966
Search in Google Scholar Back to article
18. 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
19. Peneva V., I. Popchev. Fuzzy Criteria Importance with Weighting Functions. - Comp. Rend. Acad. bulg. Sci. Vol. 61, 2008, No 3, pp. 293-300.
Search in Google Scholar Back to article
20. Peneva, V., I. Popchev. Models for Fuzzy Multicriteria Decision Making Based on Fuzzy Relations. - Compt. Rend. Acad. bulg. Sci., Vol. 62, 2009, No 5, pp. 551-558.
Search in Google Scholar Back to article
21. Peneva, V., I. Popchev. Fuzzy Multi-Criteria Decision Making Algorithms. - Compt. Rend. Acad. bulg. Sci., Vol. 63, 2010, No 7, pp. 979-992.
Search in Google Scholar Back to article
22. Popchev, I., V. Peneva . An Algorithm for Comparison of Fuzzy Sets. - Fuzzy Sets and Systems. Vol. 60, 1993, Issue 1, pp. 59-65.10.1016/0165-0114(93)90289-T
Search in Google Scholar Back to article
23. Radeva, I. Multi-Criteria Models for Cluster Design. - Cybernetics and Information Technologies, Vol. 13, 2013, No 1, pp. 18-33.10.2478/cait-2013-0003
Search in Google Scholar Back to article
24. Rezvani, S. Representation of Trapezoidal Fuzzy Numbers with Shape Function. - Annals of Fuzzy Mathematics and Informatics, Vol. 8, 2014, No 1, pp. 89-112.
Search in Google Scholar Back to article
25. Runkler, T., S. Coupland, R. John. Interval Type-2 Fuzzy Decision Making. - Approximate Reasoning, Vol. 80, 2017, pp. 217-224.10.1016/j.ijar.2016.09.007
Search in Google Scholar Back to article
26. Shao, J., M. Taisch, M Ortega-Mier. A Grey-DEcision-MAking Trial and Evaluation Laboratory (DEMATEL) Analysis on the Barriers between Environmentally Friendly Products and Consumers: Practitioners‘ Viewpoints on the European Automobile Industry. - Cleaner Production. Vol. 112, 2016, pp. 3185-3194.10.1016/j.jclepro.2015.10.113
Search in Google Scholar Back to article
27. Tadić, S., S. Zečević, M. Krstić. A Novel Hybrid MCDM Model Based on Fuzzy DEMATEL, Fuzzy ANPand Fuzzy VIKORfor City Logistics Concept Selection. - Expert Systems with Applications, Vol. 41, 2014, Issue 18, pp. 8112-8128.10.1016/j.eswa.2014.07.021
Search in Google Scholar Back to article
28. Wang, X., E. Kerre. On the Classification and the Dependencies of the Ordering Methods. - In: D. Ruan, Ed. Fuzzy Logic Foundations and Industrial Applications. Kluwer Academic Publishers, Dordrecht, 1996, pp. 73-90.10.1007/978-1-4613-1441-7_4
Search in Google Scholar Back to article
29. Yazdani, M., F. R. Graeml. VIKORand Its Applications: A State-of-the-Art Survey. - Strategic Decision Sciences, Vol. 5, 2014, Issue 2, pp. 56-83.10.4018/ijsds.2014040105
Search in Google Scholar Back to article

Group Decision Analysis with Interval Type-2 Fuzzy Numbers

Abstract

Paradigm

My account