A Constraint-Softened Interval-Fuzzy Linear Programming Approach for Environmental Management Under Uncertainty

作者：Li Yongping^*; Huang Gordon; Yang Zhifeng; Nie Songlin

来源：Environmental Engineering Science, 2009, 26(8): 1335-1348.

DOI：10.1089/ees.2008.0403

• constraint-softened
• decision making
• environment
• fuzzy programming
• interval
• management
• optimization
• violation analysis
• uncertainty

In this study, a constraint-softened interval-fuzzy linear programming (CS-IFLP) method is developed for violation analysis of environmental management systems under uncertainty. CS-IFLP can deal with uncertainties presented in terms of fuzzy sets and intervals. Moreover, a number of fuzzy relaxation levels for system constraints are allowed, such that the relevant decision space can be expanded. This can help generate a range of decision alternatives under various system conditions, and facilitate in-depth analyses of tradeoffs among economic objective, satisfaction degree, and constraint-violation risk. The developed method is applied to a case study of long-term municipal solid waste management planning. Results indicate that reasonable solutions for both binary and continuous variables have been generated. A higher relaxation level could result in a lower system cost and a higher satisfaction degree, but with a higher constraint-violation risk. Results of the sensitivity analyses demonstrate that violated system constraints have various effects on the system cost and satisfaction degree.

• 出版日期2009-8
• 单位北京师范大学; 北京大学