FIOWHM operator and its application to multiple attribute group decision making

Expert Systems with Applications

Volumn 38, Issue 4, 2011, Pages 2984-2989

  Wei, Gui Wu ^a  

^a CHONGQING UNIVERSITY OF ARTS AND SCIENCES   (China)

Author keywords

Fuzzy induced ordered weighted harmonic mean (FIOWHM) operator; Multiple attribute group decision making; Triangular fuzzy number

Indexed keywords

FUZZY MULTIPLE ATTRIBUTE DECISION MAKING; GROUP DECISION MAKING; HARMONIC MEAN; INFORMATION VALUE; MULTIPLE ATTRIBUTE DECISION MAKING; MULTIPLE ATTRIBUTE GROUP; NUMERICAL EXAMPLE; POSSIBILITY DEGREE; PRIORITY-BASED; TRIANGULAR FUZZY NUMBERS;

AVIONICS; FUZZY RULES; FUZZY SETS; HARMONIC ANALYSIS; NUMERICAL METHODS;

DECISION MAKING;

EID: 78650692951     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2010.08.087     Document Type: Article

References (58)

1. P.S. Bullen, P.M. Mitrinovic, and D.S. Vasic Means and their ineqalities 1988 Reidel Dordrecht
2. H.Y. Chen, C.L. Liu, and Z.H. Sheng Induced ordered weighted harmonic averaging (IOWHA) operator and its application to combination forecasting method Chinese Journal of Management Science 12 5 2004 35 40
3. S.J. Chen, and S.M. Chen A new method for handling multicriteria fuzzy decision making problems using FN-IOWA operators Cybernetics & Systems 34 2003 109 137
4. Chiclana, F.; Herrera, F.; Herrera-Viedma, E. (2000). The ordered weighted geometric operator: properties and application, In Proceedings of the 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Madrid, Spain, pp. 985-991.
5. F. Chiclana, F. Herrera, E. Herrera-Viedma, and S. Alonso Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations International Journal of Intelligent Systems 19 2004 233 255
6. F. Herrera, and E. Herrera-Viedma Linguistic decision analysis: steps for solving decision problems under linguistic information Fuzzy Sets and Systems 115 2000 67 82
7. J.M. Merigó, and A.M. Gil-Lafuente The induced generalized OWA operator Information Sciences 179 2009 729 741
8. P.J.M. Van Laarhoven, and W. Pedrycz A fuzzy extension of Saaty's priority theory Fuzzy Sets and Systems 11 1983 229 241
9. X.R. Wang, and Z.P. Fan Fuzzy ordered weighted averaging (FOWA) operator and its application Fuzzy Systems and Mathematics 17 4 2003 67 72
10. G.W. Wei Fuzzy ordered weighted harmonic averaging operator and its application to decision making Journal of Systems Engineering and Electronics 31 4 2009 855 858
11. Z.S. Xu A fuzzy ordered weighted geometric operator and its application to in fuzzy AHP Journal of Systems Engineering and Electronics 31 4 2002 855 858
12. Z.S. Xu, and Q.L. Da An overview of operators for aggregating information International Journal of Intelligent Systems 18 2003 953 969
13. Z.S. Xu, and Q.L. Da Method based on fuzzy linguistic scale and FIOWGA operator for decision making problems Journal of Southeast University (English Edition) 19 1 2003 88 91
14. Z.S. Xu A priority method for triangular fuzzy number complementary judgement matrix System Engineer-Theory & Practice 23 10 2003 86 89
15. Z.S. Xu, and D. Wu Method based on fuzzy linguistic judgement matrix and fuzzy fuzzy induced ordered weighted averaging (FIOWA) operator for decision making problems with a limited set of alternatives Fuzzy Systems and Mathematics 18 1 2004 76 80
16. Z.S. Xu Fuzzy harmonic mean operators International Journal of Intelligent Systems 24 2009 152 172
17. R.R. Yager, and D.P. Filev Induced ordered weighted averaging operators IEEE Transactions on Systems, Man, and Cybernetics Part B 29 1999 141 150
18. R.R. Yager The induced fuzzy integral aggregation operator International Journal of Intelligent Systems 17 2002 1049 1065
19. R.R. Yager Induced aggregation operators Fuzzy Sets and Systems 137 2003 59 69
20. R.R. Yager Generalized OWA aggregation operators Fuzzy Optimization and Decision Making 3 2004 93 107
21. F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating multiplicative preference relations in a multipurpose decision making model based on fuzzy preference relations Fuzzy Sets and Systems 112 2001 277 291
22. W.M. Dong, and F.S. Wong Fuzzy weighted averages and implementation of the extension principle Fuzzy Sets and Systems 21 1987 183 199
23. G. Facchinetti, R.G. Ricci, and S. Muzzioli Note on ranking fuzzy triangular numbers International Journal of Intelligent Systems 13 1998 613 622
24. Z.P. Fan, B. Feng, Y.H. Sun, and W. Ou Evaluating knowledge management capability of organizations: A fuzzy linguistic method Expert Systems with Applications 36 2 2009 3346 3354
25. F. Herrera, E. Herrera-Viedma, and F. Chiclana A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making International Journal of Intelligent Systems 18 2003 689 707
26. A. Kaufman, and M.M. Gupta Introduction to fuzzy arithmetic: Theory and application 1985 VanNos-trand Reinhold New York
27. T.S. Liou, and M.J. Wang Fuzzy weighted average:an improved algorithm Fuzzy Sets and Systems 49 1992 307 315
28. X.W. Liu, and L. Chen On the properties of parametric geometric OWA operator International Journal of Approximate Reasoning 35 2004 163 178
29. X.W. Liu On the properties of equidifferent OWA operator International Journal of Approximate Reasoning 43 2006 90 107
30. X.W. Liu Some properties of the weighted OWA operator IEEE Transactions on Systems, Man and Cybernetics 36 1 2006 118 127
31. X.W. Liu The solution equivalence of minimax disparity and minimum variance problems for OWA operators International Journal of Approximate Reasoning 45 1 2007 68 81
32. J.M. Merigó, and A.M. Gil-Lafuente Unification point in methods for the selection of financial products Fuzzy Economic Review 12 2007 35 50
33. C.C. Sun, and G.T.R. Lin Using fuzzy TOPSIS method for evaluating the competitive advantages of shopping websites Expert Systems with Applications 36 9 2009 11764 11771
34. C.C. Sun, G.T.R. Lin, and G.H. Tzeng The evaluation of cluster policy by fuzzy MCDM: Empirical evidence from HsinChu Science Park Expert Systems with Applications 36 9 2009 11895 11906
35. V. Torra, and Y. Narukawa Information fusion and aggregation operators 2007 Springer Berlin
36. W.P. Wang Evaluating new product development performance by fuzzy linguistic computing Expert Systems with Applications 36 6 2009 9759 9766
37. Y.M. Wang, and T.M.S. Elhag Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment Expert Systems with Applications 31 2 2006 309 319
38. Y.M. Wang, and C. Parkan A preemptive goal programming method for aggregating OWA operator weights in group decision making Information Sciences 177 2007 1867 1877
39. Y.M. Wang, Y. Luo, and Z. Hua Aggregating preference rankings using OWA operator weights Information Sciences 177 2007 3356 3363
40. Y.M. Wang, K.S. Chin, G.K.K. Poon, and J.B. Yang Risk evaluation in failure mode and effects analysis using fuzzy weighted geometric mean Expert Systems with Applications 36 2 2009 1195 1207
41. Y.M. Wang, Y. Luo, and L. Liang Fuzzy data envelopment analysis based upon fuzzy arithmetic with an application to performance assessment of manufacturing enterprises Expert Systems with Applications 36 3 2009 5205 5211
42. Z.S. Xu, and Q.L. Da The ordered weighted geometric averaging operators International Journal of Intelligent Systems 17 2002 709 716
43. Z.S. Xu Extended IOWG operator and its use in group decision making based on multiplicative linguistic preference relations American Journal of Applied Sciences 2 3 2005 633 643
44. Z.S. Xu Induced uncertain linguistic OWA operators applied to group decision making Information fusion 7 2006 231 238
45. Z.S. Xu An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations Decision Support Systems 41 2006 488 499
46. Z.S. Xu On generalized induced linguistic aggregation operators International Journal of General Systems 35 1 2006 17 28
47. R.R. Yager Families of OWA operators Fuzzy Sets and Systems 59 1993 125 148
48. R.R. Yager Quantifier guided aggregation using OWA operators International Journal of Intelligent Systems 11 1996 49 73
49. R.R. Yager, and J. Kacprzyk The ordered weighted averaging operator: Theory and application 1997 Kluwer Boston
50. R.R. Yager On ordered weighted averaging aggregation operators in multicriteria decision making IEEE Transactions on Systems, Man, and Cybernetics 18 1988 183 190
51. R.R. Yager Choquet aggregation using order inducing variables International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12 2004 69 88
52. R.R. Yager Centered OWA operators Soft Computing 11 2007 631 639
53. R.R. Yager Using stress functions to obtain OWA operators IEEE Transactions on Fuzzy Systems 15 2007 1122 1129
54. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning. Part 1-3 Information Sciences 8 1975, 1976 199 249 301-357; 9, 43-80
55. L.A. Zadeh A computational approach to fuzzy quantifiers in natural languages Computers and Mathematics with Applications 9 1983 149 184
56. L.A. Zadeh, and J. Kacprzyk Computing with words in information/ intelligent systems-Part 1: Foundations: Part 2: Applications Vol. I 1999 Physica-Verlag Heidelberg
57. Z.F. Zhang, and X.N. Chu Fuzzy group decision-making for multi-format and multi-granularity linguistic judgments in quality function deployment Expert Systems with Applications 36 5 2009 9150 9158
58. H.J. Zimmermann Fuzzy set theory and its applications 2nd ed. 1991 Kluwer Academic Publishers