New approach to MCDM under interval-valued intuitionistic fuzzy environment

International Journal of Machine Learning and Cybernetics

Volumn 4, Issue 6, 2013, Pages 671-678

  Liu, Shihu ^a   Yu, Fusheng ^a   Xu, Weihua ^b   Zhang, Wenxiu ^c  

^a BEIJING NORMAL UNIVERSITY   (China)

^b CHONGQING UNIVERSITY OF TECHNOLOGY   (China)

^c XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Interval valued intuitionistic fuzzy sets; Multicriteria decision making; Ranking of interval valued intuitionistic fuzzy numbers; Score distance; TOPSIS

Indexed keywords

INTERVAL-VALUED INTUITIONISTIC FUZZY NUMBER; INTERVAL-VALUED INTUITIONISTIC FUZZY SETS; MULTI CRITERIA DECISION MAKING; SCORE DISTANCE; TOPSIS;

DECISION MAKING;

FUZZY SETS;

EID: 84878001059     PISSN: 18688071     EISSN: 1868808X     Source Type: Journal    
DOI: 10.1007/s13042-012-0143-3     Document Type: Article

References (43)

1. Ahn BS, Choi SH (2009) Conflict resolution in a knowledge-based system using multiple attribute decision-making. Expert Systems with Applications 36: 11552-11558.
2. Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20: 87-96.
3. Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31: 343-349.
4. Bellman RE, Zadeh LA (1970) Decision making in a fuzzy environment. Manag Sci 17: 141-164.
5. Chauhan A, Vaish R (2012) Magnetic material selection using multiple attribute decision making approach. Mater Des 36: 1-5.
6. Cicek K, Celik M (2010) Multiple attribute decision-making solution to material selection problem based on modified fuzzy axiomatic design-model selection interface algorithm. Mater Des 31: 2129-2133.
7. Deng JL (1982) Control problem of grey systems. Syst Control Lett 1: 288-294.
8. Golmohammadi D (2011) Neural network application for fuzzy multi-criteria decision making problems. Int J Prod Econ 131: 490-504.
9. Greco S, Matarazzo B, Slowinski R (2001) Rough sets theory for multicriteria decision analysis. Eur J Oper Res 129: 1-47.
10. He YY, Wang Q, Zhou DQ (2009) Extension of the expected value method for multiple attribute decision making with fuzzy data. Knowl Based Syst 22: 63-66.
11. Hwang CL, Yoon Y (1981) Multiple attribute decision making: methods and applications, a state of the art survey. Springer, Belin.
12. Mahdipoor HR (2006) Flow pattern recognition in tray columns with MADM (multiple attribute decision making) method. Comput Chem Eng 30: 1197-1200.
13. Maniya KD, Bhatt MG (2011) An alternative multiple attribute decision making methodology for solving optimal facility layout design selection problems. Comput Ind Eng 61: 542-549.
14. Nayagam VG, Sivaraman G (2011) Ranking of interval-valued intuitionistic fuzzy sets. Appl Soft Comput 11: 3368-3372.
15. Opricovic S, Tzeng GH (2004) Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur J Oper Res 156: 445-455.
16. Park DG, Kwun YC, Park JH, Park IY (2009) Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision-making problems. Math Comput Model 50: 1279-1293.
17. Park JH, Park IlY, Kwun YC et al (2011) Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment. Appl Math Model 35: 2544-2556.
18. Pawlak Z, Slowinski R (1994) Decision analysis using rough sets. Int Trans Oper Res 1: 107-114.
19. Pawlak Z, Slowinski R (1994) Rough set approach to multi-attribute decision analysis. Eur J Oper Res 72: 443-459.
20. Poh KL (1998) A knowledge-based guidance system for multi-attribute decision making. Artif Intell Eng 12: 315-326.
21. Prato T (1999) Multiple attribute decision analysis for ecosystem management. Ecol Econ 30: 207-222.
22. Sakawa M, Katagiri H, Matsui T (2011) Fuzzy random bilevel linear programming through expectation optimization using possibility and necessity. Int J Mach Learn Cybern. doi: 10. 1007/s13042-011-0055-7.
23. Shanian A, Savadogo O (2006) A material selection model based on the concept of multiple attribute decision making. Mater Des 27: 329-337.
24. Tzeng GH, Huang JJ (2011) Multiple attribute decision making: methods and applications. CRC Press, Florida.
25. Wang KR, Yang H (2010) Multiple attribute decision making method based on intuitionistic fuzzy set. Fuzzy Syst Math 24: 114-118.
26. Wang XZ, Chen B, Qian GL, Ye F (2000) On the optimization of fuzzy decision trees. Fuzzy Sets and Systems 112(1), 117-125.
27. Wang XZ, Hong JR (1998) On the handling of fuzziness for continuous-valued attributes in decision tree generation. Fuzzy Sets and Systems 99(3), 283-290.
28. Wang XZ, Hong JR (1999) Learning optimization in simplifying fuzzy rules. Fuzzy Sets Syst 106(3): 349-356.
29. Wang XZ, Wang YD, Xu XF, Ling WD, Yeung DS (2011) A new approach to fuzzy rule generation: fuzzy extension matrix. Fuzzy Sets Syst 123(3): 291-306.
30. Wang YM, Luo Y (2010) Integration of correlations with standard deviations for determining attribute weights in multiple attribute decision making. Math Comput Model 51: 1-12.
31. Wang ZJ, Li KW, Wang WZ (2009) An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights. Inf Sci 179: 3026-3040.
32. Wei GW (2011) Grey relational analysis model for dynamic hybrid multiple attribute decision making. Knowl Based Syst 24: 672-679.
33. Wei GW (2008) Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting. Knowl Based Syst 21: 833-836.
34. Xu WH, Liu SH, Zhang WX (2012) Lattice-valued information systems based on dominance relation. Int J Mach Learn Cybern. doi: 10. 1007/s13042-012-0088-6.
35. Xu ZS (2007) Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Control Decis 22: 215-219.
36. Xu ZS (2007) A method for multiple attribute decision making with incomplete weight information in linguistic setting. Knowl Based Syst 20: 719-725.
37. Yang T, Hung CC (2007) Multiple attribute decision making methods for plant layout design problem. Robot Comput Integr Manuf 23: 126-137.
38. Yang ZL, Bonsall S, Wang J (2009) Use of hybrid multiple uncertain attribute decision making techniques in safety management. Expert Syst Appl 36: 1569-1586.
39. Ye F (2010) An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection. Expert Syst Appl 37: 7050-7055.
40. Yi WG, Lu MY, Liu Z (2011) Multi-valued attribute and multi-labeled data decision tree algorithm. Int J Mach Learn Cybern 2: 67-74.
41. Zadeh LA (1965) Fuzzy sets. Inf Control 8: 338-365.
42. Zhang HM, Yu Ly (2012) MADM method based on cross-entropy and extended TOPSIS with interval-valued intuitionistic fuzzy sets. Knowl Based Syst 30: 115-120.
43. Zhang ZH, Yang JY, Ye YP, Wang M (2011) Intuitionistic fuzzy sets with double parameters and its application to multiple attribute decision making of urban planning. Procedia Eng 21: 496-502.