A new method for handling multicriteria fuzzy decision-making problems using FN-IOWA operators. (English) Zbl 1095.68682
We use fuzzy numbers to extend the traditional induced ordered weight averaging (IOWA) operator to present the fuzzy-number IOWA (FN-IOWA) operator, wherein fuzzy numbers are used to describe the argument values and the weights of the FN-IOWA operator, and the aggregation results are obtained by using fuzzy-number arithmetic operations. We also present a new method for ranking fuzzy numbers. Based on the proposed FN-IOWA operator and the proposed ranking method of fuzzy numbers, we present a new algorithm to deal with multicriteria fuzzy decision-making problems. The proposed algorithm can deal with multicriteria fuzzy decision-making problems in a more intelligent and more flexible manner.
MSC:
| 68T20 | Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) |
References:
| [1] | DOI: 10.1016/0165-0114(80)90013-5 · Zbl 0443.04008 · doi:10.1016/0165-0114(80)90013-5 |
| [2] | DOI: 10.1109/21.87068 · Zbl 0637.90057 · doi:10.1109/21.87068 |
| [3] | DOI: 10.1016/0165-0114(93)90194-M · Zbl 0790.94004 · doi:10.1016/0165-0114(93)90194-M |
| [4] | DOI: 10.1109/91.669028 · doi:10.1109/91.669028 |
| [5] | DOI: 10.1109/3477.752789 · doi:10.1109/3477.752789 |
| [6] | Yager, R. R., and R. Lau. (1998). A new approach to the fusion of expert information. Proceedings of the IEEE/IAFE/INFORMS Conference on Computational Intelligence for Financial Engineering, New Rochelle, NY, pp. 220-223. |
| [7] | DOI: 10.1016/S0019-9958(65)90241-X · Zbl 0139.24606 · doi:10.1016/S0019-9958(65)90241-X |
| [8] | DOI: 10.1109/3468.553232 · doi:10.1109/3468.553232 |
| [9] | Chen, S. H. (1998)S. Operations on fuzzy numbers with function principal. Tamkang Journal of Management Sciences, 6(1):13-25. |
| [10] | Chen, S. J., and S. M. Chen. (2000). A new simple center-of-gravity method for handling the fuzzy ranking and the defuzzification problem. Proceedings of the Eighth National Conference on Fuzzy Theory and Its Applications, Taipei, Taiwan, Republic of China. |
| [11] | Chen, S. J., and S. M. Chen. (2001). A new method to measure the similarity between fuzzy numbers. Proceedings of the 10th IEEE International Conference of Fuzzy Systems, Melbourne, Australia. |
| [12] | Chen S. J., Fuzzy multiple attribute decision making (1992) |
| [13] | Chen, Y. C. (1997). A fuzzy modeling study on the corporate staffing process. M.S. thesis, Kaohsiung Polytechnic Institute, Kaohsiung, Taiwan, Republic of China. |
| [14] | DOI: 10.1016/S0165-0114(96)00272-2 · Zbl 0929.91009 · doi:10.1016/S0165-0114(96)00272-2 |
| [15] | DOI: 10.1080/00207727808941724 · Zbl 0383.94045 · doi:10.1080/00207727808941724 |
| [16] | Mines, W. W. and Montgomery, D. C. 1990.Probability and statistics in engineering and management science, 12–77. New York: Wiley, pp. |
| [17] | Kandel A, Fuzzy mathematical techniques with applications (1986) |
| [18] | Klir G. J., Fuzzy sets and fuzzy logic. Theory and applications (1995) · Zbl 0915.03001 |
| [19] | Lee, C. S., and Y. H. Kuo. (1998). FN-OWA operator and its applications to image enhancement. Proceedings of the Sixth National Conference on Fuzzy Theory and Its Applications, Taichung, Taiwan, pp. 6-13. |
| [20] | DOI: 10.1002/(SICI)1098-111X(199801)13:1<69::AID-INT6>3.0.CO;2-V · Zbl 1087.93516 · doi:10.1002/(SICI)1098-111X(199801)13:1<69::AID-INT6>3.0.CO;2-V |
| [21] | Murakami, S., S. Maeda, and S. Imamura. (1983). Fuzzy decision analysis on the development of centralized regional energy control systems. Proceedings of the IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis, pp. 363-368, New York: Pergamon Press. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
