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A HYBRID FUZZY APPROACH TO FUZZY MULTI-ATTRIBUTE GROUP DECISION-MAKING

ZHI-XIN SU

School of Economics and Management, Beihang University, No. 37 Xueyuan Road, Haidian District, Beijing 100191, P. R. China

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https://doi.org/10.1142/S021962201100452XCited by:39 (Source: Crossref)

Abstract

The paper investigates fuzzy multi-attribute group decision-making (FMAGDM) problems. The important weights of the attributes and the ratings of the alternatives with respect to each attribute provided by multiple decision-makers are described by the linguistic variables expressed in triangular fuzzy numbers or trapezoidal fuzzy numbers. A hybrid fuzzy approach is proposed, which assesses each alternative in terms of distance measure calculated by a modified VIKOR method as well as similarity measure calculated by a modified gray relational analysis (GRA) method, to the positive ideal alternative and the negative ideal alternative. A new relative closeness coefficient is established to rank alternatives by aggregating the distance and the similarity measures. Two numerical examples for reverse logistics applications are presented to illustrate the proposed method.

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References

C. L. Hwang and K. Yoon , Multiple Attributes Decision Making Methods and Applications ( Springer , Berlin Heidelberg , 1981 ) . Crossref, Google Scholar
K. R. MacCrimon, Decision making among multiple attribute alternatives: A survey and consolidated approach (Rand Memorandum, RM-4823-ARPA) . Google Scholar
R. E. Bellman and L. A. Zadeh, Management Science 17, 141 (1970). Crossref, Google Scholar
L. A. Zadeh, Information Science 8, 301(II) (1975). Crossref, Web of Science, Google Scholar
M. Delgado, J. L. Verdegay and M. A. Vila, International Journal of Intelligent Systems 7, 479 (1992). Crossref, Web of Science, Google Scholar
F. Herrera, E. Herrera-Viedma and J. L. Verdegay, Fuzzy Sets and Systems 78, 73 (1996). Crossref, Web of Science, Google Scholar
C. L. Hwang and M. J. Lin , Group Decision Making Under Multiple Criteria: Methods and Applications ( Springer-Verlag , New York , 1987 ) . Crossref, Google Scholar
F. Chiclana, F. Herrera and E. Herrera-Viedma, Fuzzy Sets and Systems 97, 33 (1998). Crossref, Web of Science, Google Scholar
F. Herrera, E. Herrera-Viedma and F. Chiclana, European Journal of Operational Research 129, 372 (2001). Crossref, Web of Science, Google Scholar
C. E. Bozdag, C. Kahraman and D. Ruan, Computers in Industry 51, 13 (2003). Crossref, Web of Science, Google Scholar
S. Opricovic , Multicriteria Optimization of Civil Engineering Systems ( Faculty of Civil Engineering, University of Belgrade , Belgrade, Yugoslavia , 1998 ) . Google Scholar
S. Opricovic and G. H. Tzeng, Computer-Aided Civil and Infrastructure Engineering 17, 211 (2002). Crossref, Web of Science, Google Scholar
P. L. Yu, Management Science 19, 936 (1973). Crossref, Web of Science, Google Scholar
M. Zeleny , Multiple Criteria Decision Making ( McGraw-Hill , New York , 1982 ) . Google Scholar
S. Opricovic and G. H. Tzeng, European Journal of Operational Research 156, 445 (2004). Crossref, Web of Science, Google Scholar
S. Opricovic and G. H. Tzeng, European Journal of Operational Research 178, 514 (2007). Crossref, Web of Science, Google Scholar
S. Opricovic and G. H. Tzeng, Yugoslav Journal of Operations Research 18, 187 (2008). Crossref, Google Scholar
D. F. Li, Fuzzy Optimization and Decision Making 6, 237 (2007). Crossref, Web of Science, Google Scholar
S. Opricovic, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15, 363 (2007). Link, Web of Science, Google Scholar
M. T. Chuet al., Expert Systems with Applications 33, 1011 (2007). Crossref, Web of Science, Google Scholar
Y. P. OuYanget al., International Journal of Information Technology & Decision Making 8, 267 (2009). Link, Web of Science, Google Scholar
R. V. Rao, International Journal of Production Research 47, 4399 (2009). Web of Science, Google Scholar
M. K. Sayadi, M. Heydari and K. Shahanaghi, Applied Mathematical Modelling 33, 2257 (2009). Crossref, Web of Science, Google Scholar
B. Vahdaniet al., International Journal of Advanced Manufacturing Technology 47, 1231 (2010). Crossref, Web of Science, Google Scholar
G. Buyukozkan and D. Ruan, Mathematics and Computers in Simulation 77, 464 (2008). Crossref, Web of Science, Google Scholar
G. Buyukozkan and O. Feyzioglu, Journal of Multiple-Valued Logic Soft Computing 14, 309 (2008). Web of Science, Google Scholar
L. Y. Chen and T. C. Wang, International Journal of Production Economics 120, 233 (2009). Crossref, Web of Science, Google Scholar
H. Y. Wu, G. H. Tzeng and Y. H. Chen, Expert Systems with Applications 36, 10135 (2009). Crossref, Web of Science, Google Scholar
H. Y. Wu, J. K. Chen and I. S. Chen, Expert Systems with Applications 37, 1635 (2010). Crossref, Web of Science, Google Scholar
A. Sanayei, S. F. Mousavi and A. Yazdankhah, Expert Systems with Applications 37(1), 24 (2010). Crossref, Web of Science, Google Scholar
S. S. Nezhad, K. K. Damghani and M. B. Aryanezhad, Applied Soft Computing 10, 1028 (2010). Crossref, Web of Science, Google Scholar
W. V. Leekwijck and E. E. Kerre, Fuzzy Sets and Systems 108, 159 (1999). Crossref, Web of Science, Google Scholar
J. L. Deng, Systems & Control Letters 1, 288 (1982). Web of Science, Google Scholar
S. F. Liu , T. B. Guo and Y. G. Dang , Grey Systems Theory and Its Applications ( Science Press , Beijing , 1999 ) . Google Scholar
D. L. Olson and D. S. Wu, European Journal of Operational Research 175, 111 (2006). Crossref, Web of Science, Google Scholar
D. S. Wu, Expert Systems with Applications 36, 8892 (2009). Crossref, Web of Science, Google Scholar
C. T. Chen, Fuzzy Sets and Systems 114, 1 (2000). Crossref, Web of Science, Google Scholar
C. T. Chen, C. T. Lin and S. F. Huang, International Journal of Production Economics 102, 289 (2006). Crossref, Web of Science, Google Scholar
L. A. Zadeh, Information and Control 8, 338 (1965). Crossref, Google Scholar
D. Dubois and Prade , Fuzzy Sets and Systems: Theory and Applications ( Academic Press Inc , New York , 1980 ) . Google Scholar
A. Kaufmann and M. Gupta , Introduction to Fuzzy Arithmetic: Theory and Applications ( Van Nostrand Reinhold , New York , 1991 ) . Google Scholar
H. J. Zimmermann , Fuzzy Set Theory and Its Applications , 2nd edn. ( Kluwer Academic Publishers , Boston, Dordrecht, London , 1991 ) . Crossref, Google Scholar
A. S. Milani, A. Shanian and R. Madoliat, Structural and Multidisciplinary Optimization 29, 312 (2005). Crossref, Web of Science, Google Scholar
K. P. Yoon and C. L. Hwang , Multiple Attribute Decision Making: An Introduction ( Sage Publishers , Thousand Oaks, CA , 1995 ) . Crossref, Google Scholar
G. Tuzkaya and B. Gülsün, International Journal of Environment Science and Technology 5, 339 (2008). Crossref, Web of Science, Google Scholar
S. Wadhwa, J. Madaan and F. T. S. Chan, Robotics and Computer-Integrated Manufacturing 25, 460 (2009). Crossref, Web of Science, Google Scholar
T. L. Saaty , The Analytic Hierarchy Process ( McGraw-Hill , New York , 1980 ) . Google Scholar
T. L. Saaty , Decision Making with Dependence and Feedback: The Analytic Network Process ( RWS Publications , Pittsburgh , 1996 ) . Google Scholar
K. Pearson, Philosophical Magazine 2, 559 (1901). Crossref, Google Scholar
G. Choquet, Annales de L'institut Fourier 5, 131 (1953). Crossref, Google Scholar
D. Denneberg , Non-Additive Measure and Integral ( Kluwer , Boston , 1994 ) . Crossref, Google Scholar
Y. H. Lin, P. C. Lee and H. I. Ting, Expert Systems with Applications 35, 1638 (2008). Crossref, Web of Science, Google Scholar
Z. S. Xu, Knowledge-Based Systems 21, 164 (2008). Crossref, Web of Science, Google Scholar
Z. S. Xu, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17, 15 (2009). Link, Web of Science, Google Scholar