Multiobjective Fuzzy Random Programming

Masatoshi Sakawa (), Ichiro Nishizaki () and Hideki Katagiri ()
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Masatoshi Sakawa: Hiroshima University
Ichiro Nishizaki: Hiroshima University
Hideki Katagiri: Hiroshima University

Chapter Chapter 4 in Fuzzy Stochastic Multiobjective Programming, 2011, pp 101-168 from Springer

Abstract: Abstract In this chapter, by considering not only the randomness of parameters involved in objective functions and/or constraints but also the experts’ ambiguous understanding of realized values of the random parameters, multiobjective programming problems with fuzzy random variables are formulated. Four types of optimization models for fuzzy random programming are developed by incorporating a concept of possibility measure into stochastic programming models discussed in the previous chapter. After introducing an extension concept of Pareto optimal solutions on the basis of possibility theory and probability theory, we show the development of interactive methods for fuzzy random multiobjective programming to derive a satisficing solution for a decision maker (DM).

Keywords: Decision Maker; Membership Function; Fuzzy Number; Linear Programming Problem; Pareto Optimal Solution (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-1-4419-8402-9_4

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