Fuzzy facility location problem with preference of candidate sites

Authors:
Hiroaki Ishii; Yung Lung Lee; Kuang Yih Yeh
Affiliations:
Graduate School of Information Science and Technology, Osaka University, Osaka 5650871, Japan;Chang Jung Christian University, Tainan, Taiwan;Chung Kung University, Tainan, Taiwan
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

Models so far considered as facility location problems treat either min-max or max-min criterion, that is, the facility is either desirable or undesirable. We propose the following model considering the satisfaction degree with respect to the distance from the facility for each customer (residents) and preference of the site in an urban area. The objective is to find the site of the facility which maximizes the minimal satisfaction degree among all demand points and maximizes the preference of the site. Since generally speaking, there exists no site that maximizes both criteria, we seek non-dominated sites after defining non-domination.