Competitive facility location problem: An algorithm for the problem concerning the existence of multi-type customers

In this paper, we propose a new model of competitive facility location that there are plural types of customers, i.e. with different ages and skill. We consider that estimation of such types includes vagueness and represent the number of customers for each site and type as an L fuzzy number. We formulate the model as the problems maximizing purchasing power obtained by each firm. We propose efficient algorithms to solve the problems, and results of computational experiments are presented.