Title: A Stackelberg location with fuzzy random demands based upon possibility and necessity measures

Authors: Takeshi Uno; Kosuke Kato; Hideki Katagiri

Addresses: Institute of Socio-Arts and Sciences, The University of Tokushima, Tokushima, Tokushima, Japan ' Faculty of Applied Information Science, Hiroshima Institute of Technology, Hiroshima, Hiroshima, Japan ' Graduate School of Engineering, Hiroshima University, Higashihiroshima, Hiroshima, Japan

Abstract: This paper focuses on a competitive facility location between a leader and a follower on a tree network with demands given uncertainly and vaguely. By representing them as fuzzy random variables, it can be formulated as a fuzzy random programming problem for finding a Stackelberg equilibrium. For solving the problem, new Stackelberg location problems are proposed by utilising possibility and necessity measures for the leader and the follower under some chance constraints. Several properties can be shown based upon the characteristics of Stackelberg location.

Keywords: facility location; Stackelberg solution; fuzzy random variables; possibility measures; necessity measures; tree networks.

DOI: 10.1504/IJKESDP.2014.064263

International Journal of Knowledge Engineering and Soft Data Paradigms, 2014 Vol.4 No.3, pp.249 - 260

Published online: 30 Aug 2014 *

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