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Fuzzy random non-cooperative two-level linear programming through fractile models with possibility and necessity

Authors: Masatoshi Sakawa; Takeshi Matsui;

Fuzzy random non-cooperative two-level linear programming through fractile models with possibility and necessity

Abstract

In this article, assuming non-cooperative behaviour of the decision makers, solution methods for decision making problems in hierarchical organizations under fuzzy random environments are presented. Taking into account hte vagueness of judgments by decision makers, fuzzy goals are introduced into the formulated fuzzy random two-level linear programming problems. Considering the possibility and necessity measures that each objective function fulfils the corresponding fuzzy goal, the fuzzy random two-level linear programming problems to minimize each objective function with fuzzy random variables are transformed into stochastic two-level programming problems to maximize the degree of possibility and necessity that each fuzzy goal is fulfilled. Through the fractile criterion optimization model, or Kataoka's model in stochastic programming, the transformed stochastic two-level programming problems can be reduced to deterministic two-level programming problems. For the transformed problems, extended concepts o...

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
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