A fuzzy random multiob jective 0-1 programming based on the expectation optimization model using possibility and necessity measures

Authors:
H. Katagiri;M. Sakawa;K. Kato;I. Nishizaki
Affiliations:
-;-;-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2004

Citing 2
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Abstract

In this paper, we deal with a multiobjective 0-1 programming problem involving fuzzyrandom variable coefficients. Introducing fuzzy goals for the objective functions, we consider the problem to maximize the degrees of possibility that the objective function values satisfy the fuzzy goals, which becomes a multiobjective stochastic 0-1 programming problem. Using the expectation model in stochastic programming, we reformulate the problem as a multiobjective 0-1 linear fractional programming problem. In order to find a satisficing solution for a decision maker, we propose an interactive satisficing method based on the reference point method and show that the problem to be solved is reduced to a mixed 0-1 programming problem.