Fuzzy multiple choice knapsack problem
Fuzzy Sets and Systems - Special issue on operations research
A fuzzy programming approach to multiobjective multidimensional 0–1 knapsack problems
Fuzzy Sets and Systems
Some remarks on distances between fuzzy numbers
Fuzzy Sets and Systems
Extensions of the TOPSIS for group decision-making under fuzzy environment
Fuzzy Sets and Systems
Ranking fuzzy numbers based on decomposition principle and signed distance
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
Fuzzy Multiple Attribute Decision Making: Methods and Applications
Fuzzy Multiple Attribute Decision Making: Methods and Applications
A generalisation of an algorithm solving the fuzzy multiple choice knapsack problem
Fuzzy Sets and Systems - Special issue: Optimization and decision support systems
Satisficing solutions and duality in interval and fuzzy linear programming
Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
Operations Research
The 0-1 knapsack problem with fuzzy data
Fuzzy Optimization and Decision Making
Choosing robust solutions in discrete optimization problems with fuzzy costs
Fuzzy Sets and Systems
Journal of Computational and Applied Mathematics
Evolutionary multiobjective optimization using an outranking-based dominance generalization
Computers and Operations Research
Duality in fuzzy linear programming with possibility and necessity relations
Fuzzy Sets and Systems
Linear programming method for MADM with interval-valued intuitionistic fuzzy sets
Expert Systems with Applications: An International Journal
A fuzzy DEA and knapsack formulation integrated model for project selection
Computers and Operations Research
Expert Systems with Applications: An International Journal
Fuzzy Optimization and Decision Making
Engineering Applications of Artificial Intelligence
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In this paper, a multidimensional 0-1 knapsack model with fuzzy parameters is defuzzified using triangular norm (t-norm) and t-conorm fuzzy relations. In the first part of the paper, the surrogate relaxation models of the defuzzified models are developed, and the use of surrogate constraint normalization rules is proposed as the surrogate multipliers. A methodology is proposed to evaluate some surrogate constraint normalization rules proposed in the literature as well as one rule proposed in this paper. Three distance metrics are used to find the distance of fuzzy objective function from the surrogate models to the distance of fuzzy objective function from the original models. A numerical experiment shows that the rule proposed in this paper dominates the other rules considered in this paper for three distance metrics given the whole assumptions. In the second part of the paper, a methodology is proposed for multi-attribute project portfolio selection, and optimal solutions from the original defuzzified models as well as near-optimal solutions from their surrogate relaxation models are considered as alternatives. The aggregation of evaluation results is managed using a simple yet effective method so-called fuzzy Simple Additive Weighting (SAW) method. Then, the methodology is applied to a hypothetical construction project portfolio selection problem with multiple attributes.