Fuzzy disk for covering fuzzy points

被引：3
|
作者：
Li, LS [1 ]
Kabadi, SN [1 ]
Nair, KPK [1 ]
机构：
[1] Univ New Brunswick, Fac Adm, Fredericton, NB E3B 5A3, Canada
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2005年 / 160卷 / 02期
关键词：
location; covering circle; convex program; polynomial algorithm; fuzzy set;
D O I：
10.1016/S0377-2217(03)00430-2
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we consider an important fuzzy version of the well known smallest covering circle problem which is also called the Euclidean 1-center problem. Here we are given a set of points in the plane whose locations are crisp. However, the requirement for coverage of each point is fuzzy as represented by its grade of membership. As such we qualify the points as fuzzy. In the above framework, we wish to find a fuzzy disk with minimum fuzzy area for covering the given fuzzy points. After developing a general model, certain special cases are investigated in detail. Polynomial algorithms are presented for the special cases. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：560 / 573
页数：14
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