Affiliations: Department of Computer Science, I. Javakhishvili Tbilisi State University, Tbilisi, Georgia
Correspondence:
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Corresponding author. Gia Sirbiladze, Department of Computer Science, I. Javakhishvili Tbilisi State University, Tbilisi, Georgigia. E-mail: sirbiladze@tsu.ge.
Abstract: For the facility location problem under extreme environment a two-stage fuzzy approach is developed. On the first stage, the fuzzy multi-attribute group decision making (MAGDM) model for evaluation of the selection ranking index of a candidate service site is created. For this purpose the triangular fuzzy Choquet averaging (TFCA) operator is constructed. Interaction attributes, influencing the service centers’ selection process, are defined. Interaction indexes between attributes and importance values of attributes are taken into account in the construction of the 2-order additive triangular fuzzy valued fuzzy measure (TFVFM). On the second stage, based on the TFCA operator, a new objective function - selection ranking index of candidate sites is constructed. We consider also two classical objective functions - total cost for opening of service centers and number of agents needed to operate the opened service centers. A new objective function together with latter ones creates the multi-objective fuzzy facility location set covering problem. A Pareto front for this problem is constructed. A simulation example of emergency service facility location planning for a city is considered. The example deals with the problem of planning fire station locations for serving emergency situations in specific demand points – critical infrastructure objects.
Keywords: Multi-objective facility location problem, associated probabilities of a fuzzy
measure, fuzzy numbers, choquet integral, multi-attribute group decision making
