Browse > Article
http://dx.doi.org/10.5391/JKIIS.2009.19.2.265

Multiple Attribute Group Decision Making Problems Based on Fuzzy Number Intuitionistic Fuzzy Information  

Park, Jin-Han (Division of Mathematical Sciences, Pukyong National University)
Kwun, Young-Chel (Department of Mathematics, Dong-A University)
Park, Jong-Seo (Depart. of Math. Education, Chinju National University of Education)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.19, no.2, 2009 , pp. 265-272 More about this Journal
Abstract
Fuzzy number intuitionistic fuzzy sets (FNIFSs), each of which is characterized by a membership function and a non-membership function whose values are trigonometric fuzzy number rather than exact numbers, are a very useful means to describe the decision information in the process of decision making. Wang [10] developed some arithmetic aggregation operators, such as the fuzzy number intuitionistic fuzzy weighted averaging (FIFWA) operator, the fuzzy number intuitionistic fuzzy ordered weighted averaging (FIFOWA) operator and the fuzzy number intuitionistic fuzzy hybrid aggregation (FIFHA) operator. In this paper, based on the FIFHA operator and the FIFWA operator, we investigate the group decision making problems in which all the information provided by the decision-makers is presented as fuzzy number intuitionistic fuzzy decision matrices where each of the elements is characterized by fuzzy number intuitionistic fuzzy numbers, and the information about attribute weights is partially known. An example is used to illustrate the applicability of the proposed approach.
Keywords
Multiple attribute group decision making; fuzzy number intuitionistic fuzzy decision matrix; fuzzy number intuitionistic fuzzy number; FIFHA operator; FIFWA operator;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Z.S. Xu, J. Chen, 'On geometric aggregation over interval-valued intuitionistic fuzzy information,' Proc. Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), Vol. 2, pp. 466-471, 2007
2 J.H. Park, I.Y Park, Y.C. Kwun, 'Multiple Attribute Group Decision Making Models under Fuzzy Number Intuitionistic Fuzzy Environment,' Journal of Korean Institute of Intelligent Systems, in Press
3 K. Atanassov, 'More on intuitionistic fuzzy sets,' Fuzzy Sets and Systems, vol. 33, no. 1, pp. 37-46, 1989   DOI   ScienceOn
4 S.H. Kim, B.S. Ahn, 'Interactive group decision making procedure under incomplete information,' European J. Operational Research, vol. 116, pp. 498-507, 1999   DOI   ScienceOn
5 F.T.S. Chan, N. Kumar, 'Grobal supplier development considering risk factors using fuzzy extended AHP-based approach,' Omega, vol. 35, pp. 417-431, 2007   DOI   ScienceOn
6 K. Atanassov and G. Gargov, 'Interval-valued intuitionistic fuzzy sets,' Fuzzy Sets and Systems, vol. 31, pp. 343-349, 1989   DOI   ScienceOn
7 Z. S. Xu, J. Chen, 'An approach to group decision making based on interval-valued intuitionistic judgement matrices,' System Engineer-Theory & Practice, vol. 27, pp. 126-133, 2007
8 S.H. Kim, S.H. Choi, H. Kim, 'An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach,' European J. Operational Research, vol. 118, pp. 139-152, 1999   DOI   ScienceOn
9 Z.S. Xu, 'An overview of methods for determining OWA weights,' Internat. J. Intelligent Systems, vol. 20, pp.843-865, 2005   DOI   ScienceOn
10 X.E Wang, 'Fuzzy number intuitionistic fuzzy arithmetic aggregation operators,' International Journal of Fuzzy Systems, vol. 10, no. 2, pp. 104-111, 2008
11 Z. S, Xu, 'Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making,' Control and Decision, vol. 22, pp.215-219, 2007
12 F. Liu, X,H. Yuan, 'Fuzzy number intuitiionstic fuzzy set,' Fuzzy Systems and Mathematics, vol. 21, no, 1, pp. 88-91, 2007
13 T.S. Liou, M.J. Wang, 'Ranking fuzzy numbers with integral value,' Fuzzy Sets and Systems, vol. 50, no. 2, pp. 247-255, 1992   DOI   ScienceOn
14 G.W. Wei, X.R. Wang, 'Some geometric aggregation operators on interval-valued intuitionistic fuzzy sets and their application to group decision making,' Proc. 2007 ICCIS, pp. 495-499, 2007
15 K. Atanassov, 'Intuitionistic fuzzy sets,' Fuzzy Sets and Systems, vol. 20, no. I, pp. 87-96, 1986   DOI   ScienceOn
16 X.F. Wang, 'Fuzzy number intuitionistic fuzzy geometric aggregation operators and their application to decision making,' Control and Decision, in press
17 K. Atanassov, 'Operators over interval-valued intuitionistic fuzzy sets,' Fuzzy Sets and Systems, vol. 64, pp. 159-174, 1994   DOI   ScienceOn
18 J.H. Park, LY. Park, D,G. Park, Y. C. Kwun, 'Multi-person multi-attribute decision making problems based on interval-valued intuitionistic fuzzy information,' In Fifth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD08), Jinan, China, Oct. 2008   DOI
19 Z.S. Xu, R. R. Yager, 'Some geometric aggregation operators based on intuitionistic fuzzy sets,' Internat. J. General Systems, vol. 35, pp. 417-433, 2006   DOI   ScienceOn