2017
DOI: 10.3390/w9070528
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An Integrated Method for Interval Multi-Objective Planning of a Water Resource System in the Eastern Part of Handan

Abstract: Abstract:In this study, an integrated solving method is proposed for interval multi-objective planning. The proposed method is based on fuzzy linear programming and an interactive two-step method. It cannot only provide objectively optimal values for multiple objectives at the same time, but also effectively offer a globally optimal interval solution. Meanwhile, the degree of satisfaction related to different objective functions would be obtained. Then, the integrated solving method for interval multi-objectiv… Show more

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Cited by 9 publications
(7 citation statements)
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“…On account of parameter uncertainties and objective inconsistency in multi-objective programming [38][39][40], the FILP model can well handle the uncertainty parameters denoted by interval numbers, and also coordinate the conflicts among different objective functions by introducing membership function λ, which makes the resulting solutions more scientific and reliable. The model is summarized as follows [26]:…”
Section: Fuzzy-interval Linear Programming (Filp)mentioning
confidence: 99%
See 1 more Smart Citation
“…On account of parameter uncertainties and objective inconsistency in multi-objective programming [38][39][40], the FILP model can well handle the uncertainty parameters denoted by interval numbers, and also coordinate the conflicts among different objective functions by introducing membership function λ, which makes the resulting solutions more scientific and reliable. The model is summarized as follows [26]:…”
Section: Fuzzy-interval Linear Programming (Filp)mentioning
confidence: 99%
“…Li et al [25] proposed a multi-objective water resources optimal allocation model under uncertainties by integrating constrained programming, semi-infinite programming, integer programming and interval linear programming. Suo et al [26] presented an approach for interval multiobjective planning by coupling fuzzy programming and improved two-step method, and then proved the objectivity and stability of this method by comparing it with the weighted sum method. Li et al [27] formulated a new two-stage random interval parameter fuzzy planning strategy model by considering various uncertainties in planning and management of water resources and water environment systems, which was then applied to reveal the relationship between local economic goals and environmental goals.…”
Section: Introductionmentioning
confidence: 99%
“…Over the past decades, a number of simulation and optimization methods were developed for reservoir water resources management under uncertainty [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Among them, inexact two-stage stochastic programming (ITSP) is effective for analyzing policy scenarios, and taking corrective actions after a random event has taken place in order to minimize "penalties" that may appear due to incorrect policy [11].…”
Section: Introductionmentioning
confidence: 99%
“…For example, Fu et al adopted a two-stage, interval, stochastic planning method, introduced a risk preference, and carried out research on water resource allocation optimization, using an uncertain stochastic planning model based on risk values for the Sanjiang Plain [25]. Suo et al proposed a comprehensive solution method for multi-objective, interval programming using fuzzy linear programming and an interactive two-step method, and applied this method to the case study of uncertain multi-water resource joint scheduling planning in eastern Handan, China [26]. In some studies, the above simulation was carried out using typical schemes for the interaction between multiple water sources in high-flow and low-flow years.…”
Section: Introductionmentioning
confidence: 99%