M. Sakawa et al., A FUZZY SATISFICING METHOD FOR LARGE-SCALE MULTIOBJECTIVE LINEAR-PROGRAMMING PROBLEMS WITH BLOCK ANGULAR STRUCTURE, Fuzzy sets and systems, 78(3), 1996, pp. 279-288
Citations number
11
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
In this paper, we focus on large-scale multiobjective linear programmi
ng problems with the block angular structure. By considering the impre
cise nature of human judgements, we assume that the decision maker may
have a fuzzy goal for each of the objective functions. Having elicite
d the corresponding linear membership functions through the interactio
n with the decision maker, we adopt the fuzzy decision for aggregating
them. Then it is shown that the formulated problem can be reduced to
one master problem and a number of linear subproblems and the satisfic
ing solution for the decision maker can be obtained by directly applyi
ng the Dantzig-Wolfe decomposition method.