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Interactive fuzzy random two-level linear programming based on level sets and fractile criterion optimization

Authors
Journal
Information Sciences
0020-0255
Publisher
Elsevier
Publication Date
Volume
238
Identifiers
DOI: 10.1016/j.ins.2013.03.003
Keywords
  • Two-Level Linear Programming Problem
  • Fuzzy Random Variable
  • Level Set
  • Fractile Criterion Optimization
  • Interactive Decision Making
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract In this paper, assuming cooperative behavior of the decision makers, two-level linear programming problems under fuzzy random environments are considered by introducing α-level sets of fuzzy random variables and defining an α-stochastic two-level linear programming problem for guaranteeing the degree of realization of the problem. Through a new decision making model proposed based on the fractile criterion optimization model considering fuzzy goals, the α-stochastic two-level programming problem can be equivalently transformed into a deterministic problem. Interactive fuzzy programming to derive a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.

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