Fractional programming methodology for multi-attribute group decision-making using IFS

Applied Soft Computing Journal

Volumn 9, Issue 1, 2009, Pages 219-225

  Li, Deng Feng ^a,b   Wang, Yong Chun ^b   Liu, Shu ^b   Shan, Feng ^a  

^a SHENYANG AEROSPACE UNIVERSITY   (China)

^b DALIAN NAVAL ACADEMY   (China)

Author keywords

Fractional programming; Fuzzy set; Interval number; Intuitionistic fuzzy set (IFS); Multi attribute group decision making; TOPSIS

Indexed keywords

AGGLOMERATION; FUZZY SETS; PROBLEM SOLVING; SET THEORY;

FRACTIONAL PROGRAMMING; FUZZY SET; INTERVAL NUMBER; INTUITIONISTIC FUZZY SET (IFS); MULTI-ATTRIBUTE GROUP DECISION-MAKING; TOPSIS;

DECISION MAKING;

EID: 53749097742     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2008.04.006     Document Type: Article

References (36)

1. Atanassov K.T. Intuitionistic fuzzy sets. Fuzzy Set Syst. 50 (1986) 87-96
2. Atanassov K.T. Intuitionistic Fuzzy Sets (1999), Springer-Verlag, Heidelberg
3. Atanassov K.T. Two theorems for intuitionistic fuzzy sets. Fuzzy Set Syst. 110 (2000) 267-269
4. Braglia M., Frosolini M., and Montanari R. Fuzzy TOPSIS approach for failure mode, effects and criticality analysis. Qual. Reliab. Eng. 19 (2003) 425-443
5. Burillo P., and Bustince H. Vague sets are intuitionistic fuzzy sets. Fuzzy Set Syst. 79 (1996) 403-405
6. Chen C.T. Extension of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Set Syst. 114 (2000) 1-9
7. Chen S.J., and Hwang C.L. Fuzzy Multiple Attribute Decision Making: Methods and Applications (1992), Springer-Verlag, Berlin
8. Chen M.F., and Tzeng G.H. Combining grey relation and TOPSIS concepts for selecting an expatriate host country. Math. Comput. Model. 40 (2004) 1473-1490
9. Chu T.C. Facility location selection using fuzzy TOPSIS under group decisions. Int. J. Uncertain. Fuzz. Knowl.-Based Syst. 10 (2002) 687-701
10. Chu T.C. Selecting plant location via a fuzzy TOPSIS approach. Int. J. Adv. Manuf. Technol. 20 (2002) 859-864
11. Chu T.C., and Lin Y.C. A fuzzy TOPSIS method for robot selection. Int. J. Adv. Manuf. Technol. 21 (2003) 284-290
12. De S.K., Biswas R., and Roy A.R. An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Set Syst. 117 (2001) 209-213
13. De S.K., Biswas R., and Roy A.R. Some operations on intuitionistic fuzzy sets. Fuzzy Set Syst. 114 (2000) 477-484
14. Deschrijver G., and Kerre E.E. On the position of intuitionistic fuzzy set theory in the framework of theories modeling imprecision. Inform. Sci. 177 (2007) 1860-1866
15. Duckstein L., and Opricovic S. Multiobjective optimization in river basin development. Water Resour. Res. 16 1 (1980) 14-20
16. Dyer J.S., Fishburn P.C., Steuer R.E., Wallenius J., and Zionts S. Multiple criteria decision making, multiattribute utility theory: the next ten years. Manage. Sci. 38 (1992) 645-654
17. Gau W.L., and Buehrer D.J. Vague sets. IEEE Trans. Syst. Man Cybernet. 23 (1993) 610-614
18. Hwang C.L., and Yoon K. Multiple Attribute Decision Making: Methods and Applications, A State of the Art Survey (1981), Springer-Verlag, Berlin
19. Li D.-F. Multiattribute decision making models and methods using intuitionistic fuzzy sets. J. Comput. Syst. Sci. 70 (2005) 73-85
20. Li D.-F. Some measures of dissimilarity in intuitionistic fuzzy structures. J. Comput. Syst. Sci. 68 (2004) 115-122
21. Li D.-F., and Cheng C.T. New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recogn. Lett. 23 (2002) 221-225
22. Lin L., Yuan X.H., and Xia Z.-Q. Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets. J. Comput. Syst. Sci. 73 (2007) 84-88
23. Liu H.W., and Wang G.J. Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur. J. Oper. Res. 179 (2007) 220-233
24. Pankowska A., and Wygralak M. General IF-sets with triangular norms and their applications to group decision making. Inform. Sci. 176 (2006) 2713-2754
25. Szmidt E., and Kacprzyk J. Intuitionistic fuzzy sets in group decision making. NIFS 2 (1996) 15-32
26. Szmidt E., and Kacprzyk J. Remarks on some applications of intuitionistic fuzzy sets in decision making. NIFS 2 (1996) 22-31
27. Szmidt E., and Kacprzyk J. Group decision making via intuitionistic fuzzy sets FUBEST '96. Sofia, Bulgaria, October 9-11 (1996) 107-112
28. Szmidt E., and Kacprzyk J. Intuitionistic fuzzy sets for more realistic group decision making. International Conference on Transition to Advanced Market Institutions and Economies. Warsaw, June 18-21 (1997) 430-433
29. Szmidt E., and Kacprzyk J. Distances between intuitionistic fuzzy sets. Fuzzy Set Syst. 114 (2001) 505-518
30. Szmidt E., and Kacprzyk J. Entropy for intuitionistic fuzzy sets. Fuzzy Set Syst. 118 (2001) 467-477
31. Triantaphyllou E., and Lin C.T. Development and evaluation of five fuzzy multiattribute decision-making methods. Int. J. Approx. Reason. 14 (1996) 281-310
32. Xu Z.-S. A ranking arithmetic for fuzzy mutual complementary judgment matrices. J. Syst. Eng. 16 4 (2001) 311-314 (in Chinese)
33. Xu Z.-S. Intuitionistic preference relations and their application in group decision making. Inform. Sci. 177 (2007) 2363-2379
34. Xu Z.-S., and Da Q.-L. A likelihood based method for priorities of interval judgment matrices. Chinese J. Manage. Sci. 11 (2003) 63-65 (in Chinese)
35. Wang Y.C. Extension of the VIKOR for decision-making problems under fuzzy environment. Proceedings of ICM' 2007, the 6th International Conference on Management. Wuhan, China, August 3-5 (2007) 437-442
36. Zadeh L.A. Fuzzy sets. Inform. Control 18 (1965) 338-356