A two-stage mixed-integer fuzzy programming with interval-valued membership functions approach for flood-diversion planning

Shuo Wang, G. H. Huang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

35 Citations (Scopus)


Flood disasters have been extremely severe in recent decades, and they account for about one third of all natural catastrophes throughout the world. In this study, a two-stage mixed-integer fuzzy programming with interval-valued membership functions (TMFP-IMF) approach is developed for flood-diversion planning under uncertainty. TMFP-IMF integrates the fuzzy flexible programming, two-stage stochastic programming, and integer programming within a general framework. A concept of interval-valued fuzzy membership function is introduced to address complexities of system uncertainties. TMFP-IMF can not only deal with uncertainties expressed as fuzzy sets and probability distributions, but also incorporate pre-regulated water-diversion policies directly into its optimization process. TMFP-IMF is applied to a hypothetical case study of flood-diversion planning for demonstrating its applicability. Results indicate that reasonable solutions can be generated for binary and continuous variables. A variety of flood-diversion and capacity-expansion schemes can be obtained under four scenarios, which enable decision makers (DMs) to identify the most desired one based on their perceptions and attitudes towards the objective-function value and constraints.
Original languageEnglish
Pages (from-to)208-218
Number of pages11
JournalJournal of Environmental Management
Publication statusPublished - 5 Mar 2013
Externally publishedYes


  • Decision-making
  • Flood diversion
  • Fuzzy set
  • Optimization
  • Probability distribution
  • Uncertainty

ASJC Scopus subject areas

  • Environmental Engineering
  • Waste Management and Disposal
  • Management, Monitoring, Policy and Law

Cite this