A multicriteria fuzzy linear programming method for water supply system development planning
Fuzzy Sets and Systems
Multi-stage stochastic optimization applied to energy planning
Mathematical Programming: Series A and B
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
A fuzzy compromise approach to water resource systems planning under uncertainty
Fuzzy Sets and Systems - Special issue on soft decision analysis
Solving fuzzy (stochastic) linear programming problems using superiority and inferiority measures
Information Sciences: an International Journal
A two-phase approach for multi-objective programming problems with fuzzy coefficients
Information Sciences: an International Journal
Asset portfolio optimization using fuzzy mathematical programming
Information Sciences: an International Journal
Fuzzy two-stage quadratic programming for planning solid waste management under uncertainty
International Journal of Systems Science
Greedy regression ensemble selection: Theory and an application to water quality prediction
Information Sciences: an International Journal
Encoding fuzzy possibilistic diagnostics as a constrained optimization problem
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
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In this study, a fuzzy-stochastic-based violation analysis (FSVA) approach is developed for the planning of water resources management systems with uncertain information, based on a multistage fuzzy-stochastic integer programming (FSIP) model. In FSVA, a number of violation variables for the objective and constraints are allowed, such that in-depth analyses of tradeoffs among economic objective, satisfaction degree, and constraint-violation risk can be facilitated. Besides, the developed method can deal with uncertainties expressed as probability distributions and fuzzy sets; it can also reflect the dynamics in terms of decisions for water-allocation and surplus-flow diversion, through transactions at discrete points of a complete scenario set over a multistage context. The developed FSVA method is applied to a case study of water resources management within a multi-stream, multi-reservoir and multi-period context. The results indicate that the satisfaction degrees and system benefits would be different under varied violation levels; moreover, different violation levels can also lead to changed water-allocation and surplus-flow diversion plans. Violation analyses are also conducted to demonstrate that violating different constraints have different effects on system benefit and satisfaction degree.