Fuzzy multi-objective mathematical programming on reliability optimization model

Applied Mathematics and Computation

Volumn 174, Issue 1, 2006, Pages 643-659

  Mahapatra, G S ^a   Roy, T K ^a  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

Author keywords

Complex system; Fuzzy optimization; Generalized triangular fuzzy number; Multi objective optimization; Reliability optimization; Series system

Indexed keywords

DECISION MAKING; LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING; RELIABILITY;

FUZZY OPTIMIZATION; GENERALIZED TRIANGULAR FUZZY NUMBER; MULTI-OBJECTIVE OPTIMIZATION; RELIABILITY OPTIMIZATION; SERIES SYSTEM;

FUZZY SETS;

EID: 33344470639     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.04.105     Document Type: Article

References (13)

1. G. Bortolan, and R. Degani A review of some methods for ranking fuzzy numbers Fuzzy Sets and Systems 15 1985 1 19
2. R.E. Bellmann, and L.A. Zadeh Decision making in a fuzzy environment Management Science 17 4 1970 B141 B164
3. S.H. Chen Operations on fuzzy numbers with function principal Tamkang Journal of Management Science 6 1 1985 13 25
4. C.H. Hsieh, S.H. Chen, Similarity of generalized fuzzy numbers with graded mean integration representation, in: Proc. 8th Int. fuzzy Syst. Association World Congress, vol. 2, Taipei, Taiwan, Republic of China, 1999, pp. 551-555.
5. H.Z. Huang Fuzzy multi-objective optimization decision-making of reliability of series system Microelectronics Reliability 37 3 1997 447 449
6. W. Kuo, V.R. Prasad, F.A. Tillman, and C. Hwang Optimal Reliability Design-Fundamentals and Applications 2001 Cambridge University Press Cambridge, UK
7. T.S. Liou, and M.J.J. Wang Ranking fuzzy numbers with integral value Fuzzy Sets and Systems 50 1992 247 255
8. R. Luus Optimization of system reliability by a new nonlinear integer programming procedure IEEE Transactions on Reliability R-26 1975 14 16
9. K.S. Park Fuzzy apportionment of system reliability IEEE Transactions on Reliability R-36 1987 129 132
10. M. Sakawa Multi-objective optimization by the surrogate worth trade-off method IEEE Transactions on Reliability R-27 1978 311 314
11. F.A. Tillman, C.L. Hwang, and W. Kuo Optimization of System Reliability 1980 Marcel Dekker, Inc. New York and Basel
12. J. Zimmermann Fuzzy programming and linear programming with several objective functions Fuzzy Sets and Systems 1 1978 45 55
13. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353