Fuzzy linear programming models to solve fuzzy matrix games
Fuzzy Sets and Systems
Optimal revenue for demand function in fuzzy sense
Fuzzy Sets and Systems
The best prices of two mutual complements in the fuzzy sense
Fuzzy Sets and Systems
A fuzzy compromise approach to water resource systems planning under uncertainty
Fuzzy Sets and Systems - Special issue on soft decision analysis
Economic principle on profit in the fuzzy sense
Fuzzy Sets and Systems
Fuzzy Multiple Attribute Decision Making: Methods and Applications
Fuzzy Multiple Attribute Decision Making: Methods and Applications
Computers and Operations Research
Fuzzy revenue for fuzzy demand quantity based on interval-valued fuzzy sets
Computers and Operations Research
Solution of fuzzy matrix games: An application of the extension principle: Research Articles
International Journal of Intelligent Systems
Optimal models for single-period supply chain problems with fuzzy demand
Information Sciences: an International Journal
The optimum output quantity of a duopoly market under a fuzzy decision environment
Computers & Mathematics with Applications
Static Bayesian games with finite fuzzy types and the existence of equilibrium
Information Sciences: an International Journal
Computers & Mathematics with Applications
The Cournot production game with multiple firms under an ambiguous decision environment
Information Sciences: an International Journal
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The conventional precision-based decision analysis methodology is invalid for business decision analysis when precise assessment data seldom exist. This paper considers the Cournot game with fuzzy demand and fuzzy costs that are assumed to be triangular fuzzy numbers. Our model utilizes the weighted center of gravity (WCoG) method to defuzzify the fuzzy profit function into a crisp value. We derive the equilibrium Cournot quantity of each firm by simultaneously solving the first-order condition of each firm. Our model explicitly derives the necessary condition to avoid an unreasonable outcome of negative equilibrium quantities and lack of flexibility for modification of the ranking method. In addition, we examine the standard deviation of the fuzzy profit resulting from the fuzziness of each firm's cost and market demand functions. We conduct sensitivity analysis to investigate the effect of parameter perturbations on firms' outcomes. The results indicate that the center of parameter plays an important role in sensitivity analysis and dominates over variations in equilibrium quantity due to a perturbation of fuzzy parameters.