Using fuzzy numbers in knapsack problems

DOI10.1016/S0377-2217(00)00310-6zbMath1077.90563OpenAlexW2093966265MaRDI QIDQ5954834

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Publication date: 2001

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(00)00310-6

zbMATH Keywords

Fuzzy setsOptimizationKnapsack problemMulticonstraint 0/1 knapsack problemSigned distance ranking

Mathematics Subject Classification ID

Combinatorial optimization (90C27) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Related Items (9)

A Dynamic Programming Algorithm for Solving Bi-Objective Fuzzy Knapsack Problem ⋮ A fuzzy multidimensional multiple-choice knapsack model for project portfolio selection using an evolutionary algorithm ⋮ Intuitionistic fuzzy knapsack problem trough the index matrices prism ⋮ An ant colony optimization approach for binary knapsack problem under fuzziness ⋮ Solving the Knapsack problem with imprecise weight coefficients using genetic algorithms ⋮ Analysis of maximum total return in the continuous knapsack problem with fuzzy object weights ⋮ A fuzzy DEA and knapsack formulation integrated model for project selection ⋮ The binary knapsack problem with qualitative levels ⋮ The 0-1 knapsack problem with fuzzy data

Uses Software

• Knapsack

Cites Work

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• A heuristic algorithm for the multidimensional zero-one knapsack problem
• Heuristics and reduction methods for multiple constraints 0-1 linear programming problems
• A general model for fuzzy linear programming
• Heuristic algorithms for the multiple knapsack problem
• An expanding-core algorithm for the exact \(0-1\) knapsack problem
• Ranking fuzzy numbers based on decomposition principle and signed distance.
• Efficient algorithms for solving multiconstraint zero-one knapsack problems to optimality
• A Branch and Bound Method for the Multiconstraint Zero-One Knapsack Problem

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