Fuzzy goal programming with nested priorities.

*(English)*Zbl 0546.90092Summary: This paper proposes a new approach to formulating fuzzy priorities in a goal programming problem. The proposed methodology remedies certain shortcomings of the composite membership function approach discussed in previous works. The principal advantage of the proposed method is that it leads to a formulation in which tradeoffs between goals more closely reflect the decision maker’s intentions than in other noninteractive approaches in some of which a fixed hierarchy of goals is assumed.

##### MSC:

90C31 | Sensitivity, stability, parametric optimization |

90B50 | Management decision making, including multiple objectives |

90C05 | Linear programming |

03E72 | Theory of fuzzy sets, etc. |

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\textit{P. A. Rubin} and \textit{R. Narasimhan}, Fuzzy Sets Syst. 14, 115--129 (1984; Zbl 0546.90092)

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##### References:

[1] | Bellman, R.E; Zadeh, L.A, Decision-making in a fuzzy environment, Management science, 17, B141-B164, (1970) · Zbl 0224.90032 |

[2] | Benayoun, R; de Montgolfier, J; Tergny, J; Laritchev, O, Linear programming with multiple objective functions: STEP method (STEM), Mathematical programming, 1, 366-375, (1971) · Zbl 0242.90026 |

[3] | Budnick, F.S; Mojena, R; Vollmann, T.E; Budnick, F.S; Mojena, R; Vollmann, T.E, Principles of operations research for management, (), 385-136 |

[4] | Charnes, A; Cooper, W.W, Goal programming and multiple objective optimizations, European J. operational research, 1, 39-54, (1977) · Zbl 0375.90079 |

[5] | Charnes, A; Cooper, W.W; Harrald, J; Karwan, K.R; Wallace, W.A, A goal interval programming model for resource allocation in a marine environmental protection program, J. environmental economics and management, 3, 4, 347-362, (1976) · Zbl 0348.90155 |

[6] | Dyer, J.S, A time sharing computer program for the solution of the multiple criteria problem, Management science, 19, B1379-B1383, (1973) |

[7] | Hannan, E, On fuzzy goal programming, Decision sciences, 12, 3, 522-531, (1981) |

[8] | Hannan, E, Linear programming with multiple fuzzy goals, Fuzzy sets and systems, 6, 235-248, (1981) · Zbl 0465.90080 |

[9] | Ignizio, J.P, Goal programming and extensions, (1976), Heath Lexington, MA · Zbl 1052.90584 |

[10] | Narasimhan, R, Goal programming in a fuzzy environment, Decision sciences, 11, 2, 325-336, (1980) |

[11] | Rubin, P.A, A comparison of three approaches to linear programming with multiple objectives, (), 267-270 |

[12] | Thole, U; Zimmermann, H.-J; Zysno, P, On the suitability of minimum and product operators for the intersection of fuzzy sets, Fuzzy sets and systems, 2, 167-180, (1979) · Zbl 0408.94030 |

[13] | Zeleny, M, Compromise programming, () · Zbl 0325.90033 |

[14] | Zimmermann, H.-J, Fuzzy programming and linear programming with several objective functions, Fuzzy sets and systems, 1, 45-55, (1978) · Zbl 0364.90065 |

[15] | Zimmermann, H.-J; Zysno, P, Latent connectives in human decision making, Fuzzy sets and systems, 4, 37-51, (1980) · Zbl 0435.90009 |

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