Interactive Fuzzy Multiobjective Stochastic Linear Programming

Masatoshi Sakawa, Hitoshi Yano and Ichiro Nishizaki
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Masatoshi Sakawa: Hiroshima University
Hitoshi Yano: Nagoya City University
Ichiro Nishizaki: Hiroshima University

Chapter Chapter 6 in Linear and Multiobjective Programming with Fuzzy Stochastic Extensions, 2013, pp 197-232 from Springer

Abstract: Abstract This chapter is devoted to several interactive fuzzy programming approaches to multiobjective stochastic programming problems. Through the use of the several stochastic models including the expectation model, the variance model, the probability model, the fractile model, and the simple recourse model together with chance constrained programming, the formulated multiobjective stochastic programming problems are transformed into deterministic ones. Assuming that the decision maker has the fuzzy goal for each of the objective functions, several interactive fuzzy satisficing methods are presented for deriving a satisficing solution for the decision maker by updating the reference membership levels.

Keywords: Decision Maker; Membership Function; Linear Programming Problem; Fuzzy Goal; Expectation Model (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-1-4614-9399-0_6

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DOI: 10.1007/978-1-4614-9399-0_6

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