1995
DOI: 10.1029/95wr02310
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Steady State Groundwater Flow Simulation With Imprecise Parameters

Abstract: A methodology based on fuzzy set theory is developed to incorporate imprecise parameters into steady state groundwater flow models. In this case, fuzzy numbers are used to represent parameter imprecision. As such, they are also used as a measure for the uncertainty associated with the hydraulic heads due to the imprecision in the input parameters. The imprecise input parameters may come from indirect measurements, subjective interpretation, and expert judgment of available information. In the methodology, a fi… Show more

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Cited by 75 publications
(34 citation statements)
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“…Dou et al (1995), Bardossy et al (1995), Guyonnet et al (2000), Khan et al (2002) and Sadiq et al (2003) are a few recent examples.…”
Section: A Fuzzy-based Methods For the Evaluation Of Soil Corrosivitymentioning
confidence: 99%
“…Dou et al (1995), Bardossy et al (1995), Guyonnet et al (2000), Khan et al (2002) and Sadiq et al (2003) are a few recent examples.…”
Section: A Fuzzy-based Methods For the Evaluation Of Soil Corrosivitymentioning
confidence: 99%
“…But, former one is preferred by some researchers ( [19], [4], [20]) because of its simple shape. The triangular membership function is a special case of trapezoidal membership function, because in this case, at α =1, there is a single point rather than a flat line as in the trapezoidal function.…”
Section: Fuzzy Sets and Vertex Methodsmentioning
confidence: 99%
“…When calculations include at least a fuzzy number, then the solution becomes a fuzzy number also (Dou et al, 1995). Consequently, for every time step and every spatial step, the water depth, which is a fuzzy number, is found.…”
Section: Problem Solutionmentioning
confidence: 99%
“…In hydraulic engineering Dou et al (1995) examined an aquifer under pressure and steady state condition with vague hydraulic parameters and they solved the resulting arithmetic scheme with intervals. Chang et al (1996) presented a theoretical method of programming with many objective functions where messages were fuzzy.…”
Section: Introductionmentioning
confidence: 99%