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I. M. Stancu-Minasian, “Overview of Different Approaches for Solving Stochastic Programming Problems with Multiple Objective Functions,” In: R. Slowinski and J. Teghem, Eds., Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, Kluwer Academic Publishers, Dordrecht/Boston/ London, 1990, pp. 71-101. doi:10.1007/978-94-009-2111-5_5

has been cited by the following article:

• TITLE: An Interactive Fuzzy Satisficing Method for Multiobjective Stochastic Integer Programming with Simple Recourse

  AUTHORS: Masatoshi Sakawa, Takeshi Matsui

  KEYWORDS: Multiobjective Programming; Stochastic Programming; Fuzzy Programming; Interactive Methods; Simple Recourse Model

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10A, November 1, 2012

  ABSTRACT: This paper considers multiobjective integer programming problems involving random variables in constraints. Using the concept of simple recourse, the formulated multiobjective stochastic simple recourse problems are transformed into deterministic ones. For solving transformed deterministic problems efficiently, we also introduce genetic algorithms with double strings for nonlinear integer programming problems. Taking into account vagueness of judgments of the decision maker, an interactive fuzzy satisficing method is presented. In the proposed interactive method, after determineing the fuzzy goals of the decision maker, a satisficing solution for the decision maker is derived efficiently by updating the reference membership levels of the decision maker. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.