Locating Multiple Facilities in Convex Sets with Fuzzy Data and Block Norms

Abstract

In this paper we study the problem of locating multiple facilities in convex sets with fuzzy parameters. This problem asks to find the location of new facilities in the given convex sets such that the sum of weighted distances between new facilities and existing facilities is minimized. We present a linear programming model for this problem with block norms, then we use it for problems with fuzzy data. We also do this for rectilinear and infinity norms as special cases of block norms.

In this paper we study the problem of locating multiple facilities in convex sets with fuzzy parameters. This problem asks to find the location of new facilities in the given convex sets such that the sum of weighted distances between new facilities and existing facilities is minimized. We present a linear programming model for this problem with block norms, then we use it for problems with fuzzy data. We also do this for rectilinear and infinity norms as special cases of block norms.

Cite this paper

J. Fathali and A. Jamalian, "Locating Multiple Facilities in Convex Sets with Fuzzy Data and Block Norms,"*Applied Mathematics*, Vol. 3 No. 12, 2012, pp. 1950-1958. doi: 10.4236/am.2012.312267.

J. Fathali and A. Jamalian, "Locating Multiple Facilities in Convex Sets with Fuzzy Data and Block Norms,"

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