Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach

Fan, Yurui; Huang, Guohe; Yang, Aili

doi:10.1016/j.ins.2013.04.004

Cited by 60 publications

(29 citation statements)

References 48 publications

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“…for k = J2 + 1 to n2. Through integrating the solutions of the two submodels, the solution of IQT model can be generated [15].…”

Section: Discussionmentioning

confidence: 99%

“…Then, an interactive two-step solution algorithm is proposed for solving the inexact-quadratic two-stage programming (IQT) model, which is different from normal interval analysis and best/worst-case analysis [3,15]. The IQT model can be transformed into two sets of deterministic submodels, which correspond to the lower and upper bounds of the desired objective function value.…”

Section: Methodsmentioning

confidence: 99%

“…The resulting solutions can provide intervals for the objective function and decision variables with different levels of risk in violating the constraints. A two-step solution method is proposed for solving the IQT model as shown in Appendix [15,35].…”

Section: Methodsmentioning

confidence: 99%

“…Therefore, numbers of uncertain optimization methods can be introduced to tackle various manners of uncertainties, which can support water managers facing challenges of violated-risk due to uncertainties and their interactions [8][9][10][11][12][13][14][15]. For example, spatial and temporal variations (e.g., stream flows) and frequencies of peaks are associated with the net system benefit that would be the function of the stochastic factors, which can be expressed as probabilistic distributions due to data limited data availability.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Mix Inexact-Quadratic Fuzzy Water Resources Management Model of Floodplain (IQT-WMMF) for Regional Sustainable Development of Dahuangbaowa, China

Zeng

Yang

et al. 2015

Water

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Abstract:In this study, a mix inexact-quadratic fuzzy water resources management model of floodplain (IQT-WMMF) has developed, through incorporating techniques of credibility-constrained programming (CP), two-stage programming (TP), interval-parameter programming (IPP) and quadratic programming (QP) within a general framework for limited data availability. The IQT-WMMF can provide an effective linkage between system benefit and the associated economic penalty attributed to the violation of the pre-regulated water target under limited data availabilities expressed probabilistic distributions and interval values; meanwhile, imprecise and no-linear economic data would be resolved. The developed method is applied to a real case of planning water resources in the Dahuangbaowa floodplain, China, with the aim to develop a sustainable water resources management in the study region. A number of scenarios with wet land expansion strategies under various credibility levels are analyzed, implying that different policies can lead to varied water-allocation patterns, system benefits, and system-failure risks. The results discover that water deficits and flood damages have brought negative effects on economic development synchronously, which need to effective plans to reduce losses of shortages and floods for achieving higher system benefits. Tradeoffs between economic benefit and system-failure risk can support generating an increased robustness in risk control for water resources allocation under uncertainties, which is beneficial to adjust the current water-allocation sustainably. OPEN ACCESSWater 2015, 7 2772

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“…for k = J2 + 1 to n2. Through integrating the solutions of the two submodels, the solution of IQT model can be generated [15].…”

Section: Discussionmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Mix Inexact-Quadratic Fuzzy Water Resources Management Model of Floodplain (IQT-WMMF) for Regional Sustainable Development of Dahuangbaowa, China

Zeng

Yang

et al. 2015

Water

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show abstract

“…Sar and Kahraman [14] used the fuzzy MCS method to determine the best investment strategy on new product selection for an organization in the condition when the fuzzy net present value is not the only point of concern for decision making. Fan, YR. et al [15] developed a generalised fuzzy linear programming method for dealing with uncertainties expressed as fuzzy sets. The feasibility of fuzzy solutions of the generalised fuzzy linear programming problem was investigated.…”

Section: Introductionmentioning

confidence: 99%

Sperm Motility Algorithm for Solving Fractional Programming Problems under Uncertainty

Raouf¹,

Hassan²,

Hezam³

2017

ijacsa

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On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems

Stanojević

2019

Advances in Operational Research in the Balkans

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Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach

Cited by 60 publications

References 48 publications

A Mix Inexact-Quadratic Fuzzy Water Resources Management Model of Floodplain (IQT-WMMF) for Regional Sustainable Development of Dahuangbaowa, China

A Mix Inexact-Quadratic Fuzzy Water Resources Management Model of Floodplain (IQT-WMMF) for Regional Sustainable Development of Dahuangbaowa, China

Sperm Motility Algorithm for Solving Fractional Programming Problems under Uncertainty

On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems

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