An interval-valued fuzzy linear programming with infinite α-cuts method for environmental management under uncertainty

Shuo Wang, G. H. Huang, H. W. Lu, Y. P. Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

37 Citations (Scopus)


In this study, an interval-valued fuzzy linear programming with infinite α-cuts (IVFLP-I) method is developed for municipal solid waste (MSW) management under uncertainty. IVFLP-I can not only tackle uncertainties expressed as intervals and interval-valued fuzzy sets, but also take all fuzzy information into account by discretizing infinite α-cut levels to the interval-valued fuzzy membership functions. Through adoption of the interval-valued fuzzy sets, IVFLP-I can directly communicate information of waste managers' confidence levels over various subjective judgments into the optimization process. Compared to the existing methods in which only finite α-cut levels exist, IVFLP-I would have enhanced the robustness in the optimization efforts. A MSW management problem is studied to illustrate the applicability of the proposed method. Four groups of optimal solutions can be obtained through assigning different intervals of α-cut levels. The results indicate that wider intervals of α-cut levels could lead to a lower risk level of constraint violation associated with a higher system cost; contrarily, narrower intervals of α-cut levels could lead to a lower cost with a higher risk of violating the constraints. The solutions under different intervals of α-cut levels can support in-depth analyses of tradeoffs between system costs and constraint-violation risks.
Original languageEnglish
Pages (from-to)211-222
Number of pages12
JournalStochastic Environmental Research and Risk Assessment
Issue number2
Publication statusPublished - 1 Jan 2011
Externally publishedYes


  • Dual uncertainties
  • Environment
  • Fuzzy programming
  • Infinite α-cut levels
  • Interval
  • Solid waste

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Chemistry
  • Water Science and Technology
  • Safety, Risk, Reliability and Quality
  • Environmental Science(all)

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