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Fuzzy Stochastic Multiobjective Programming

Part of the International Series in Operations Research & Management Science Book Series (volume 159)

DOI: 10.1007/978-1-4419-8402-9

ISBN: 978-1-4419-8401-2

Publisher: Springer New York - Springer Journals

Feb 2, 2011

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Chapter 1Introduction and Historical Remarks

Sakawa, Masatoshi; Nishizaki, Ichiro; Katagiri, Hideki

Pages: 1 –9

[The main characteristics of the real-world decision making problems facing humans today are uncertain due to the increase in complexity of modern-day society as well as the diversification of values among people. Hence, when formulating a mathematical programming problem which closely describes...
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Chapter 2Fundamentals

Sakawa, Masatoshi; Nishizaki, Ichiro; Katagiri, Hideki

Pages: 11 –47

[This chapter is devoted to reviewing optimization concepts and the related computational methods that will be used in the remaining chapters. In particular, we deal with three optimization concepts incorporating fuzziness and ambiguity of human judgments, uncertainty of events characterizing...
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Chapter 3Fuzzy Multiobjective Stochastic Programming

Sakawa, Masatoshi; Nishizaki, Ichiro; Katagiri, Hideki

Pages: 49 –99

[In this chapter, by considering the imprecision of a decision maker’s (DM’s) judgments for stochastic objective functions and/or constraints in multiobjective problems, fuzzy multiobjective stochastic programming is developed. Assuming that the DM has a fuzzy goal for each of expectations and...
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Chapter 4Multiobjective Fuzzy Random Programming

Sakawa, Masatoshi; Nishizaki, Ichiro; Katagiri, Hideki

Pages: 101 –168

[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...
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Chapter 5Stochastic and Fuzzy Random Two-Level Programming

Sakawa, Masatoshi; Nishizaki, Ichiro; Katagiri, Hideki

Pages: 169 –223

[In this chapter, for resolving the conflict between two decision makers (DMs) who have different interests in hierarchical managerial or public organizations, two-level programming is discussed. In particular, we consider two-level programming problems with random variable and fuzzy random...
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Chapter 6Future Research Directions

Sakawa, Masatoshi; Nishizaki, Ichiro; Katagiri, Hideki

Pages: 225 –245

[This chapter outlines some future research directions. In contrast to the fuzzy random variables treating the ambiguity of realized values of the random parameters discussed in Chapter 4, by considering the ambiguity of means and/or variances characterizing random variables, the concept of...

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