An interactive fuzzy satisficing method for random fuzzy multiobjective integer programming problems through probability maximization with possibility

M. Sakawa (), T. Matsui and H. Katagiri
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M. Sakawa: Hiroshima University
T. Matsui: Hiroshima University
H. Katagiri: Hiroshima University

Fuzzy Information and Engineering, 2013, vol. 5, issue 3, 335-350

Abstract: Abstract This paper considers multiobjective integer programming problems where each coefficient of the objective functions is expressed by a random fuzzy variable. A new decision making model is proposed by incorporating the concept of probability maximization into a possibilistic programming model. For solving transformed deterministic problems, genetic algorithms with double strings for nonlinear integer programming problems are introduced. An interactive fuzzy satisficing method is presented for deriving a satisficing solution to a decision maker by updating the reference probability levels. An illustrative numerical example is provided to clarify the proposed method.

Keywords: Multiobjective integer programming; Random fuzzy programming; Possibility; Probability maximization; Interactive method (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s12543-013-0146-0

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