A Competitive Facility Location Problem on a Network with Fuzzy Random Weights
نویسندگان
چکیده
This paper focuses on a new Stackelberg location problem on a network with demands whose weights are given uncertainly and vaguely. By representing them as fuzzy random variables, the optimal location problem can be formulated as a fuzzy random programming problem for finding Stackelberg equilibrium. By using both their α-level sets for fuzziness and their satisfaction level for a given probability for randomness, it can be reformulated as a version of conventional Stackelberg location problem on the network. Theorems for its complexity are shown based upon the characteristics of the facility location.
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