A GP-AHP method for solving group decision-making fuzzy AHP ...

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2000 C.-S. Yu / Computers & Operations Research 29 (2002) 1969–2001 [9] Levary RR, Wan K. Asimulation approach for handling uncertainty in the analytic hierarchy process. European Journal of Operations Research 1998;106:116–22. [10] Nurmi H. Approaches to collective decision making with fuzzy preference relations. Fuzzy Sets and Systems 1981;6:249–59. [11] Ribeiro RA. Fuzzy multiple attribute decision making: a review and new preference elicitation techniques. Fuzzy Sets and Systems 1996;78:155–81. [12] Ruoning X, Xiaoyan Z. Extensions of the analytic hierarchy process in fuzzy environment. Fuzzy Sets and Systems 1992;52:251–7. [13] Zimmermann HJ. Fuzzy sets, decision making and expert systems. Boston: Kluwer Academic Publishers, 1987. [14] de Grann JG, Extension to the multiple criteria analysis method of T.L. Satty. AReport for National Institute for Water Supply. Voorburg, Netherlands, 1980. [15] Carmone FJ, Kara A, Zanakis SH. A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP. European Journal of Operations Research 1997;102:538–53. [16] Kumar NV, Ganesh LS. Asimulation-based evaluation of the approximate and the exact eigenvector methods employed in AHP. European Journal of Operational Research 1996;95:656–62. [17] Leung LC, Cao D. On consistency and ranking of alternatives in fuzzy AHP. European Journal of Operations Research 2000;124:102–13. [18] Radojevic D, Petrovic S. Afuzzy approach to preference structure in multi-criteria ranking. International Transactions of Operational Research 1997;4(5=6):419–30. [19] Ramanathan R. Stochastic decision making using multiplicative AHP. European Journal of Operational Research 1997;97:543–9. [20] Rosenbloom ES. Aprobabilistic interpretation of the nal rankings in AHP. European Journal of Operational Research 1996;96:371–8. [21] Ruoning X, Xiaoyan Z. Fuzzy logarithmic least squares ranking method in analytic hierarchy process. Fuzzy Sets and Systems 1996;77:175–90. [22] Salo AA. On fuzzy ratio comparisons in hierarchical decision models. Fuzzy Sets and Systems 1996;84:21–32. [23] Bryson N. Agoal programming method for generating priority vectors. Journal of Operational Research Society 1995;46:461–8. [24] Byson N, Mobolurin A. Modeling pairwise comparisons on ratio scales. European Journal of Operational Research 1997;102:538–53. [25] Cook WD, Kress M. Deriving weights from pairwise comparisons. Social Economic Planning Science 1986;20(6):341–5. [26] Fichtner J. On deriving priority vectors from matrices of pairwise comparisons. Social Economic Planning Sciences 1986;20(6):341–5. [27] Ramanathan R, Ganesh LS. Energy resource allocation incorporating quantitative and qualitative criteria: an integrated GP-AHP models. Social Economic Planning Society 1995;29:197–218. [28] Ramanathan R. Anote on the use of goal programming for the multiplicative AHP. Journal of Multi-Criteria Decision Analysis 1997;6:296–307. [29] Gass SI, Rapcsak T. Anote on synthesizing group decisions. Decision Support Systems 1998;22:59–63. [30] Ramanathan R, Ganesh LS. Group preference aggregation methods employed in AHP: an evaluation and an intrinsic process for deriving members’ weightings. European Journal of Operations Research 1994;79:249–65. [31] Ray TG, Triantaphyllou E. Evaluation of ranking with regard to the possible number of agreements and con icts. European Journal of Operational Research 1998;106:129–36. [32] Tanio T. Fuzzy preference ordering in group decision making. Fuzzy Sets and Systems 1984;12:117–31. [33] van den Honert RC, Lootsma FA. Group preference aggregation in the multiplicative AHP model of the group decision process and Pareto optmality. European Journal of Operational Research 1996;96:363–70. [34] Hwang CL, Yoon K. Multiple attribute decision making: methods and applications. Berlin: Springer, 1981. [35] Scharge L. User’s Mannual in LINDO Release 7.0. San Francisco: Scienti c Press, 1997. [36] Taylor III BW. Introduction to management science. Englewood Cli s, NJ: Prentice-Hall, 1999. [37] Gogus O, Boucher TO. Aconsistency test for rational weights in multi-criterion decision analysis with fuzzy pairwise comparison. Fuzzy Sets and Systems 1997;86:129–38. [38] Chen SJ, Hwang CL. Fuzzy multiple attribute decision making. Berlin: Springer, 1992.
C.-S. Yu / Computers & Operations Research 29 (2002) 1969–2001 2001 [39] Dubois D, Prade H. Fuzzy sets and systems: theory and applications. New York: Academic Press, 1980. [40] Freeling ANS. Fuzzy sets and decision analysis. IEEE Transactions in Systems, Man, and Cybernetics 1980;10:341–54. [41] Gass SI. Aprocess for determining priorities for large scale linear goal programs. Journal of Operational Research Society 1986;37:779–85. [42] Golany B, Kress M. Amulticriteria evaluation of methods for obtaining weights from ratio-scale matrices. European Journal of Operational Research 1993;69:210–20. [43] Islei G, Lockett AG. Judgemental modeling based on geometric least square. European Journal of Operational Research 1988;36:27–35. [44] Lootsma FA. Satty’s priority theory and the nomination of a senior professor in operations research. European Journal of Operational Research 1980;4:380–8. Chian-Son Yu is an Associate Professor in the Department of Information Management at Shih Chien University, Taipei. His research interests and publications are in the areas of fuzzy programming, fractional programming, robust programming, and global supply chain management. He received his Ph.D. in Information Management from National Chiao Tung University, Taiwan.
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