Linear goal programming approach to obtaining the weights of intuitionistic fuzzy ordered weighted averaging operator

Journal of Systems Engineering and Electronics

Volumn 21, Issue 6, 2010, Pages 990-994

  Xu, Yejun ^a   Huang, Chao ^b   Da, Qingli ^c   Liu, Xinwang ^c  

^a HOHAI UNIVERSITY   (China)

^b NANJING UNIVERSITY OF INFORMATION SCIENCE AND TECHNOLOGY   (China)

^c Southeast University   (China)

Author keywords

Intuitionistic fuzzy ordered weighted averaging(IFOWA) operator; Intuitionistic fuzzy set; Linear goal programming; Multiple attribute decision making(MADM); Weights

Indexed keywords

INTUITIONISTIC FUZZY SETS; LINEAR GOAL PROGRAMMING; MULTIPLE ATTRIBUTE DECISION MAKING; ORDERED WEIGHTED AVERAGING; WEIGHTS;

AVIONICS; DECISION MAKING; FUZZY RULES; STATISTICAL METHODS;

FUZZY SETS;

EID: 78651088870     PISSN: 10044132     EISSN: None     Source Type: Journal    
DOI: 10.3969/j.issn.1004-4132.2010.06.010     Document Type: Article

References (22)

1. K. Atanassov. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1986, 20(1): 87-96.
2. L. A. Zadeh. Fuzzy sets. Information and Control, 1965, 8(3): 338-356.
3. S. K. R. Biswas, A. R. Roy. Some operations on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 2000, 114: 477-484.
4. W. Q.Wang, X. L. Xin. Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters, 2005, 26: 2063-2069.
5. E. Szmidt, J. Kacprzyk. Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems, 2000, 114: 505-518.
6. P. Grzegorzewski. Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets and Systems, 2004, 148: 319-328.
7. T. Y. Chen. Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets and Systems, 2007, 158: 2523-2525.
8. Y. H. Li, D. L. Olson, Z. Qin. Similarity measures between intuitionistic fuzzy(vague) sets:a comparative analysis. Pattern Recognition Letters, 2007, 28: 278-285.
9. S. M. Chen. Similarity measures between vague sets and between elements. IEEE Trans. on Systems, Man,and Cybernetics- Part B:Cybernetics, 1997, 27(1): 153-158.
10. W. L. Hung, M. S. Yang. Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. Pattern Recognition Letters, 2004, 25: 1603-1611.
11. Z. Z. Liang, P. F. Shi. Similarity measures on intuitionistic fuzzy sets. Pattern Recognition Letters, 2003, 24: 2687-2693.
12. D. H. Hong, S. Y. Hwang. Correlation of intuitionistic fuzzy sets in probability spaces. Fuzzy Sets and Systems, 1995, 75: 77-81.
13. D. F. Li. Extension of the LINMAP for multiattribute decision making under Atanassov's intuitionistic fuzzy environment. Fuzzy Optimization and Decision Making, 2008, 7: 17-34.
14. Z. S. Xu. Models for multiple attribute decision making with intuitionistic fuzzy information. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2007, 15(3): 285-297.
15. D. F. Li. Multiattribute decision making models and methods using intuitionistic fuzzy sets. Journal of Computer and System Sciences, 2005, 70: 73-85.
16. Z. S. Xu. Intuitionistic fuzzy aggregation operators. IEEE Trans. on Fuzzy Systems, 2007, 15(6): 1179-1187.
17. Z. S. Xu, R. R. Yager. Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, 2006, 35(4): 417-433.
18. Y. J. Xu, Q. L. Da. Approach to obtaining weights of uncertain ordered weighted geometric averaging operator. Journal of Southeast University, 2008, 24(1): 110-113.
19. Z. S. Xu. An overview of methods for determining OWA weights. International Journal of Intelligent Systems, 2005, 20(8): 843-865.
20. Y. J. Xu, Q. L. Da. A method for multiple attribute decision making with incomplete weight information under uncertain linguistic environment. Knowledge-Based Systems, 2008, 21: 837-841.
21. S. H. Kim, C. H. Han. An interactive procedure for multiattribute group decision making with incomplete information. Computer & Operations Research, 1999, 26: 755-772.
22. S. H. Kim, S. H. Choi, J. K. Kim. An interactive procedure for multiple attribute group decision making with incomplete information: range-based approach. European Journal of Operational Research, 1999, 118: 139-152.