Journal of Japan Society for Fuzzy Theory and Systems
Online ISSN : 2432-9932
Print ISSN : 0915-647X
ISSN-L : 0915-647X
Stackelberg Solutions to Two-level Linear Programming Problems with Fuzzy Parameters
Ichiro NISHIZAKIMasatoshi SAKAWA
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2000 Volume 12 Issue 1 Pages 185-192

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Abstract
In this paper, taking into account experts' imprecise or fuzzy understanding of the nature of parameters in a problem-formulation process, we consider two-level linear programming problems with fuzzy parameters. Assuming some behavior of the decision maker at the lower level, we analyze rational decisions of the decision maker at the upper level from the prescriptive point of view. We examine two situations:one is a situation that, judging that the degree of all the membership functions of the fuzzy numbers involved in the problem should be greater than or equal to some value, the decision maker at the upper level makes a rational decision in a certain sense;the other is a situation that fuzzy goals for the objective functions and fuzzy constraints are introduced and each decision maker makes a decision by employing the fuzzy decision.
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© 2000 Japan Society for Fuzzy Theory and Intelligent Informatics
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