International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 1997 · 34 citations · 3 references
Natural SciencesMathematicsOptimizationSet TheoryUncertainty QuantificationConstrained OptimizationFuzzy LogicMathematical ProgrammingNonlinear ProgrammingOptimization TheoryConstraint Optimization ProblemsFuzzy NumbersFuzzy SetsInterval AnalysisInterval OptimizationInterval-based Representation
In this paper, we describe interval-based methods for solving constrained fuzzy optimization problems. The class of fuzzy functions we consider for the optimization problems is the set of real-valued functions where one or more parameters/coefficients are fuzzy numbers. The focus of this research is to explore some relationships between fuzzy set theory and interval analysis as it relates to optimization problems.
3