Some arithmetic aggregation operators with intuitionistic trapezoidal fuzzy numbers and their application to group decision making

Journal of Computers

Volumn 5, Issue 3, 2010, Pages 345-351

  Wei, Guiwu ^a  

^a CHONGQING UNIVERSITY OF ARTS AND SCIENCES   (China)

Author keywords

Intuitionistic trapezoidal fuzzy hybrid aggregation (ITFHA) operator; Intuitionistic trapezoidal fuzzy numbers; Intuitionistic trapezoidal fuzzy ordered weighted averaging (ITFOWA) operator; Multiple attribute group decision making

Indexed keywords

AGGREGATION OPERATOR; FUZZY INFORMATION; GROUP DECISION MAKING; ILLUSTRATIVE EXAMPLES; INTUITIONISTIC TRAPEZOIDAL FUZZY NUMBER; MULTIPLE ATTRIBUTE GROUP; OPERATIONAL LAWS; ORDERED WEIGHTED AVERAGING;

FUZZY RULES; FUZZY SETS;

DECISION MAKING;

EID: 78650323642     PISSN: 1796203X     EISSN: None     Source Type: Journal    
DOI: 10.4304/jcp.5.3.345-351     Document Type: Article

References (35)

1. L. A. Zadeh, Fuzzy sets, "Information and Control", Vol. 8,pp.338-356, 1965.
2. K. Atanassov, "Intuitionistic fuzzy sets, Fuzzy Sets andSystems", Vol. 20, pp.87-96, 1986.
3. K. Atanassov, "More on intuitionistic fuzzy sets, Fuzzy Setsand Systems", Vol.33, pp.37-46, 1989.
4. W. L. Gau and D. J. Buehrer, "Vague sets", IEEE Transactions on Systems, Man and Cybernetics, Vol.23,No.2, pp.610-614, 1993.
5. H. Bustine and P. Burillo, "Vague sets are intuitionisticfuzzy sets, Fuzzy Sets and Systems", Vol.79, pp.403-405,1996.
6. Z. S. Xu and R. R. Yager, "Some geometric aggregationoperators based on intuitionistic fuzzy sets", InternationalJournal of General System, Vol.35, pp.417-433, 2006.
7. Z. S. Xu, "Intuitionistic preference relations and theirapplication in group decision making", Information Science, Vol.177, No.11, pp.2363-2379, 2007.
8. Z. S. Xu, "Intuitionistic fuzzy aggregation operators, IEEETransations on Fuzzy Systems", Vol.15, No.6, pp.1179-1187, 2007.
9. D.F. Li, "Multiattribute decision making models andmethods using intuitionistic fuzzy sets", Journal of Computer and System Sciences, Vol.70, pp.73-85, 2005.
10. L. Lin, X. H. Yuan and Z.Q. Xia, "Multicriteria fuzzydecision-making methods based on intuitionistic fuzzysets", Journal of Computer and System Sciences, Vol.73,pp.84-88, 2007.
11. H. W. Liu, "Multi-criteria decision-making methods basedon intuitionistic fuzzy sets", European Journal of Operational Research, Vol.179, No.1, pp.220-233, 2007.
12. D. F. Li, CT. Cheng, "New similarity measures ofintuitionistic fuzzy sets and application to pattern recognitions", Pattern Recognition Letters, Vol.23 No.1-3,pp.221-225, 2002.
13. D. F. Li, "Some measures of dissimilarity in intuitionisticfuzzy structures", Journal of Computer and systems Sciences, Vol. 68, No.1, pp.115-122, 2004.
14. D. F. Li, Y. C. Wang, S. Liu and F. Shan, "Fractionalprogramming methodology for multi-attribute group decision making using IFS", Applied Soft Computing, 2009, Vol.8, No.1, pp.219-225, 2009.
15. Y. Wang, Y.J. Lei and Y.L. Lu, "Multiple attributedecision making method based on intuitionistic fuzzysets", Systems Engineering and Electronics, Vol.29,No.12, pp.2060-2063, 2007.
16. L. Lin, X. H. Yuan and Z. Q. Xia, "Multicriteria fuzzydecision-making methods based on intuitionistic fuzzysets", Mathematics in Practice and Theory, Vol.73, pp.84-88, 2007.
17. K. Atanassov and G. Gargov, "Interval-valued intuitionistic fuzzy sets", Fuzzy Sets and Systems, Vol.3,pp.343-349, 1989.
18. K. Atanassov, "Operators over interval-valued intuitionistic fuzzy sets", Fuzzy Sets and Systems, Vol.64,No.2, pp.159-174, 1994.
19. Z. S. Xu, "Methods for aggregating interval-valued intuitionistic fuzzy information and their application todecision making", Control and decision, Vol.22, No.2,pp.215-219, 2007.
20. Z. S. Xu and J. Chen, "An approach to group decision making based on interval-valued intuitionistic judgment tmatrices", System Engineer-Theory & Practice, Vol.27,No.4, pp.26-133, 2007.
21. Z.S.Xu, "Models for multiple attribute decision-making with intuitionistic fuzzy information", International Journal of Uncertainty, Fuzziness and Knowledge-BasedSystems, Vol.15, No.3, pp.285-297, 2007.
22. J.Q. Wang, "Multi-criteria interval intuitionistic fuzzydecision-making approach with incomplete certaininformation", Control and decision, Vol.21, No.11,pp.1253-1256,1263, 2006.
23. M. H. Shu, C. H. Cheng and J. R. Chang, "Usingintuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly", Microelectronics Reliability,Vol.46, pp.2139-2148, 2006.
24. J.Q.Wang, "Overview on fuzzy multi-criteria decision-making approach", Control and decision, Vol.23, No.6,601-606, 2008.
25. J.Q. Wang and Zh. Zhang, "Programming method of multi-criteria decision-making based on intuitionistic fuzzy number with incomplete certain information", Control anddecision, Vol.23, No.10, pp.1145-1148, 2008.
26. J.Q. Wang and Zh. Zhang, "Multi-criteria decision-making method with incomplete certain information based onintuitionistic fuzzy number", Control and decision, Vol.24,No.2, pp.226-230, 2009.
27. F. Herrera and E. Herrera-Viedma, "Linguistic decision analysis: steps for solving decision problems under linguistic information", Fuzzy Sets and Systems, Vol.115,67-82, 2000.
28. G. W. Wei, "Maximizing deviation method for multipleattribute decision making in intuitionistic fuzzy setting", Knowledge-based Systems, Vol.21, No.8, pp.833-836,2008.
29. G. W. Wei, "Uncertain linguistic hybrid geometric mean operator and its Application to group decision making under uncertain linguistic environment", International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems,Vol.17, No.2, pp.251-267, 2009.
30. G. W. Wei, "Some geometric aggregation functions and their application to dynamic multiple attribute decision making in intuitionistic fuzzy setting", International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol.17, No.2, pp.179-196, 2009.
31. G. W. Wei and W.D. Yi, "Method for intuitionistic fuzzy multiple attribute decision making without weight information but with preference information on alternatives", Proceeding of 27th Chinese Control and Decision Conference, Yantai, July 2-4, China, pp.1970-1975, 2008.
32. G. W. Wei, "Induced intuitionistic fuzzy ordered weight edaveraging operator and its application to multiple attribute group decision making operator", Lecture Notes in Artificial Intelligence, Vol. 5009, pp.124-131, 2008.
33. G. W. Wei and G. Lan, "Grey relational analysis method for interval-valued intuitionistic fuzzy multiple attribute decision making", The 5th International Conference on Fuzzy Systems and knowledge Discovery, Jinan, October 18-20, China, pp.291-295,2008.
34. G. W. Wei and W.D. Yi, "Induced interval-valued intuitionistic fuzzy OWG operator", The 5th International Conference on Fuzzy Systems and knowledge Discovery, Jinan, October 18-20, China, pp.605-609,2008.
35. G. W. Wei and W.D. Yi, "Grey relational analysis method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting", Proceeding of 27th Chinese Control and Decision Conference, Yantai, July 2-4, China, pp.1965-1969, 2008.