대한산업공학회지 (Journal of Korean Institute of Industrial Engineers)

  • 제32권1호
  • /
  • Pages.42-50
  • /
  • 2006
  • /
  • 1225-0988(pISSN)
  • /
  • 2234-6457(eISSN)
대한산업공학회 (Korean Institute of Industrial Engineers)
권호 표지

최소 거리척도를 이용한 대화형 다기준 그룹 의사결정

An Interactive Multi-criteria Group Decision Making with the Minimum Distance Measure

  • 조남웅 (고려대학교 산업시스템정보공학과) ;
  • 김재희 (군산대학교 경영회계학부) ;
  • 김승권 (고려대학교 산업시스템정보공학과)
  • Cho, Namwoong (Department of Industrial Systems and Information Engineering, Korea University) ;
  • Kim, Jaehee (School of Business Administration and Accounting, Kunsan National University) ;
  • Kim, Sheung-Kown (Department of Industrial Systems and Information Engineering, Korea University)
  • 발행 : 2006.03.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The multi-criteria group decision making (MCGDM) problem is to determine the best compromise solution in a set of competing alternatives that are evaluated under conflicting criteria by decision maker (DM)s. In this paper, we propose a mixed-integer programming (MIP) model to solve MCGDM. The existing method based on minimizing a distance measure such as Median Approach can not guarantee the best compromise solution because the element of median point vector is defined with respect to each criteria separately. However, by considering all criteria simultaneously, we generate median point that is better for locating the best compromise solution. We also utilize the concept of spatial dispersion index (SDI) to produce a threshold value, which is used as a guideline to choose either the Utopian Approach or the Median Approach. And we suggest using CBITP (Convex hull of individual maxima Based Interactive Tchebycheff Procedure) to provide DMs with various Pareto-optimal solutions so that DMs have broad range of selection.

키워드

참고문헌

  1. Armstrong, R. D., Cook, W. D. and Seiford, L. M. (1982), Priority Ranking and Consensus Formation : The Case of Ties, Management Science, 28(6), 638-645 https://doi.org/10.1287/mnsc.28.6.638
  2. Brans, J. P. and Vincke, Ph. (1985), A Preference Ranking Organisation Method, Management Science, 31(6), 647-656 https://doi.org/10.1287/mnsc.31.6.647
  3. Cook, W. D. and Seiford, L. M. (1978), Priority Ranking and Consensus Formation, Management Science, 24(16), 1721-1732 https://doi.org/10.1287/mnsc.24.16.1721
  4. Cook, W. D. and Seiford, L. M. (1982), On the Borda-Kendall Consensus Method for Priority Ranking Problems, Management Science, 28(6), 621-637 https://doi.org/10.1287/mnsc.28.6.621
  5. ILOG (2003), ILOG CPLEX C++ API 9.0 Reference Manual
  6. Kemeny, J. G. and Snell, L. J. (1962), Preference Ranking: An Axiomatic Approach, Mathematical Models in the Social Sciences, 9-23, Ginn, New York
  7. Kim, J. H. and Kim, S. K. (2006), A CHIM-based interactive Tchebycheff procedure for multiple objective decision making, Computers & Operations Research, 33(6),1557-1574, Elsevier (available online at www.sciencedirect.com) https://doi.org/10.1016/j.cor.2004.11.007
  8. Leyva-Lopez, J.C. and Fernandez-Gonzalez, E. (2003), A new method for group decision support based on ELECTREIII methodology, European Journal of Operational Research, 148(1), 14-27 https://doi.org/10.1016/S0377-2217(02)00273-4
  9. Macharis, C., Brans, J.P. and Mareschal, B. (1998), The GDSS PROMETHEE Procedure, Journal of Decision Systems, 7, 283-307
  10. Roy, B. (1991), The Outranking Approach and the Foundations of ELECTRE Methods, Theory and Decision, 31, 49-73 https://doi.org/10.1007/BF00134132
  11. Steuer R. E. and Choo E. U. (1983), An Interactive Weighted Tchebycheff Procedure for Multiple Objective Programming, Mathematical Programming, 26(1), 326-344 https://doi.org/10.1007/BF02591870
  12. Steuer, R. E. (1992), Manual for the ADBASE multiple objective linear programming package, University of Georgia, Athens
  13. Xanthopulos, Z., Melachrinoudis, E. and Solomon, M. M. (2000), Interactive Multiobjective Group Decision Making with Interval Parameters, Management Science, 46(12), 1721-1732