Identifying Optimal Water Resources Allocation Strategies through an Interactive Multi-Stage Stochastic Fuzzy Programming Approach |
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Authors: | S Wang G H Huang |
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Affiliation: | (1) Faculty of Engineering and Applied Science, University of Regina, Regina, Saskatchewan, S4S 0A2, Canada |
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Abstract: | In this study, an interactive multi-stage stochastic fuzzy programming (IMSFP) approach has been developed through incorporating
an interactive fuzzy resolution (IFR) method within an inexact multi-stage stochastic programming framework. IMSFP can deal
with dual uncertainties expressed as fuzzy boundary intervals that exist in the objective function and the left- and right-hand
sides of constraints. Moreover, IMSFP is capable of reflecting dynamics of uncertainties and the related decision processes
through constructing a set of representative scenarios within a multi-stage context. A management problem in terms of water
resources allocation has been studied to illustrate applicability of the proposed approach. The results indicate that a set
of solutions under different feasibility degrees (i.e., risk of constraint violation) has been generated for planning the
water resources allocation. They can not only help quantify the relationship between the objective-function value and the
risk of violating the constraints, but also enable decision makers (DMs) to identify, in an interactive way, a desired compromise
between two factors in conflict: satisfaction degree of the goal and feasibility degree of constraints. Besides, a number
of decision alternatives have been generated under different policies for water resources management, which permits in-depth
analyses of various policy scenarios that are associated with different levels of economic penalties when the promised water-allocation
targets are violated, and thus help DMs to identify desired water-allocation schemes under uncertainty. |
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