2016
DOI: 10.1016/j.jtice.2015.10.048
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Comprehensive assessment and hierarchical management of the sustainable utilization of urban water resources based on catastrophe theory

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Cited by 37 publications
(10 citation statements)
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“…If such a mutually-constraining relationship does not exist, then the minimum value is adopted according to catastrophe theory, meaning that the minimum value of the catastrophe level is passed to the parent node. At present, catastrophe theory has been widely applied in the field of ecological environments, including assessing island ecological environments [36], sustainable use of urban water resources [37] and risks of water pollution [38].…”
Section: Catastrophe Progression Methodsmentioning
confidence: 99%
“…If such a mutually-constraining relationship does not exist, then the minimum value is adopted according to catastrophe theory, meaning that the minimum value of the catastrophe level is passed to the parent node. At present, catastrophe theory has been widely applied in the field of ecological environments, including assessing island ecological environments [36], sustainable use of urban water resources [37] and risks of water pollution [38].…”
Section: Catastrophe Progression Methodsmentioning
confidence: 99%
“…In catastrophe theory, system function variables are divided into dependent state variable, which are the internal token variables of system, and control variables, which are the external influence factors while system is running [ 21 ]. Catastrophe theory is widely used, and one common application is the use of the catastrophe progression method derived from catastrophe theory to solve multiple criteria decision problems [ 22 ]. Based on catastrophe theory, the multi-criteria evaluation method draws on analytic hierarchy, utility function and fuzzy evaluation to obtain catastrophe fuzzy membership functions by normalized treatment of the bifurcation set [ 23 ], in which the dependency of state variables on control variables is determined by the catastrophe fuzzy membership functions, rather than weights assigned by the users and different control variables have different impacts on state variables in the multi-criteria evaluation method [ 24 ].…”
Section: Methodsmentioning
confidence: 99%
“…The bifurcation equation showed that when the control variables satisfy this equation, a mutation occurs in the system and the effect of each control variable upon the mutation would be obtained [13][14].…”
Section: Evaluation Methodsmentioning
confidence: 99%