퍼지 선형계획법 해법 및 퍼지 DEA에의 적용에 관한 연구
A Study on a Solution Approach to Fuzzy Linear Programsand Its Application to Fuzzy DEA Models
0
조회
0
다운로드
8
인용
0
참고문헌
키워드
초록
A solution method for fuzzy linear programs is proposed. A fuzzy linear program is converted to a crisp linear program with average indices being applied to the objective function and constraints. A comparative analysis between the proposed average index approach and the possibilistic approach is given. As an application example, the proposed method is applied to the linear programming model for fuzzy data envelopment analysis, and the result is compared with that of the possibilistic approach.
Abstract
A solution method for fuzzy linear programs is proposed. A fuzzy linear program is converted to a crisp linear program with average indices being applied to the objective function and constraints. A comparative analysis between the proposed average index approach and the possibilistic approach is given. As an application example, the proposed method is applied to the linear programming model for fuzzy data envelopment analysis, and the result is compared with that of the possibilistic approach.
참고문헌 (19)
- Bellman, R. E, "Decision making in fuzzy environment", Management Science, 17, pp.141~164 (1970)
- Bortolan, G., "A review of some methods for ranking fuzzy subsets", Fuzzy Sets and Systems, 15, pp.1~19 (1985)
- Campos, L. M., "A subjective approach for ranking fuzzy numbers", Fuzzy Sets and Systems, 29, pp.145~153 (1989)
- Charnes, A., "Data envelopment analysis:Theory, methodology, and applications" (1994)
- Charnes, A., "Measuring the efficiency of decision making units", European Journal of Operational Research, 2, pp.429~444 (1987)
- Chen, S. J., "Fuzzy multiple attribute decision making, Methods and Applications" (1992)
- Dubois, D., "Possibility theory:an approach to computerized processing of uncertainty" (1988), Plenum Press
- Ganesan, K., "Fuzzy linear programs with trapezoidal fuzzy numbers", Annals of Operational Research, 143, pp.305~315 (2006)
- Guo, P., "Fuzzy DEA:a perceptual evaluation method", Fuzzy Sets and Systems, 119, pp.149~160 (2001)
- Hougaard, J. L., "Fuzzy scores of technical efficiency", European Journal of Operational Research, 115, pp.529~541 (1999)
- Lertworasirikul, S., "Fuzzy data envelopment analysis (DEA):a possibility approach", Fuzzy Sets and Systems, 139, pp.379~394 (2003)
- Rommelfanger, H., "Fuzzy linear programming and applications", European Journal of Operational Research, 92, pp.512~527 (1996)
- Talluri, S., "Data envelopment analysis:models and extensions", Decision Line, 31, pp.8~11 (2000)
- Tanaka, H., "On fuzzy mathematical programming", Journal of Cybernetics, 13, pp.37~46 (1974)
- Tanaka, H., "Fuzzy linear programming problems with fuzzy numbers", Fuzzy Sets and Systems, 13, pp.1~10 (1984)
- Zadeh, L. A., "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
- Zadeh, L. A., "The concept of linguistic variable and its application to approximate reasoning I, II, and III", Information Sciences, 8, pp.199~249 (1975)
- Zadeh, L. A., "Fuzzy sets as a basis for a theory of possibility", Fuzzy Sets and Systems, 1, pp.3~28 (1978)
- Zimmermann, H. J., "Optimization in fuzzy environment", presented at XXI Int. TIMES and 46th ORSA Conference (1974)
