### Abstract

Two multiobjective random fuzzy programming problems considered based on the possibility maximization model using possibilistic and stochastic programming are not initially well defined due to the random variables and fuzzy numbers included. To solve them analytically, probability criteria are set for objective functions and chance constraints are introduced. Taking into account the decision maker's subjectivity and the original plan's flexibility, a fuzzy goal is introduced for each objective function. The original problems are then changed into deterministic equivalent problems to make the possibility fractile optimization problem equivalent to a linear programming problem. The possibility maximization problem for probability is changed into a nonlinear programming problem, and an analytical solution is constructed extending previous solution approaches.

Original language | English |
---|---|

Pages (from-to) | 373-379 |

Number of pages | 7 |

Journal | Journal of Advanced Computational Intelligence and Intelligent Informatics |

Volume | 13 |

Issue number | 4 |

Publication status | Published - 2009 |

Externally published | Yes |

### Fingerprint

### Keywords

- Multiobjective model
- Random fuzzy programming
- Stochastic and fuzzy programming

### ASJC Scopus subject areas

- Artificial Intelligence
- Computer Vision and Pattern Recognition
- Human-Computer Interaction

### Cite this

*Journal of Advanced Computational Intelligence and Intelligent Informatics*,

*13*(4), 373-379.

**Multiobjective random fuzzy linear programming problems based on the possibility maximization model.** / Hasuike, Takashi; Katagiri, Hideki; Ishii, Hiroaki.

Research output: Contribution to journal › Article

*Journal of Advanced Computational Intelligence and Intelligent Informatics*, vol. 13, no. 4, pp. 373-379.

}

TY - JOUR

T1 - Multiobjective random fuzzy linear programming problems based on the possibility maximization model

AU - Hasuike, Takashi

AU - Katagiri, Hideki

AU - Ishii, Hiroaki

PY - 2009

Y1 - 2009

N2 - Two multiobjective random fuzzy programming problems considered based on the possibility maximization model using possibilistic and stochastic programming are not initially well defined due to the random variables and fuzzy numbers included. To solve them analytically, probability criteria are set for objective functions and chance constraints are introduced. Taking into account the decision maker's subjectivity and the original plan's flexibility, a fuzzy goal is introduced for each objective function. The original problems are then changed into deterministic equivalent problems to make the possibility fractile optimization problem equivalent to a linear programming problem. The possibility maximization problem for probability is changed into a nonlinear programming problem, and an analytical solution is constructed extending previous solution approaches.

AB - Two multiobjective random fuzzy programming problems considered based on the possibility maximization model using possibilistic and stochastic programming are not initially well defined due to the random variables and fuzzy numbers included. To solve them analytically, probability criteria are set for objective functions and chance constraints are introduced. Taking into account the decision maker's subjectivity and the original plan's flexibility, a fuzzy goal is introduced for each objective function. The original problems are then changed into deterministic equivalent problems to make the possibility fractile optimization problem equivalent to a linear programming problem. The possibility maximization problem for probability is changed into a nonlinear programming problem, and an analytical solution is constructed extending previous solution approaches.

KW - Multiobjective model

KW - Random fuzzy programming

KW - Stochastic and fuzzy programming

UR - http://www.scopus.com/inward/record.url?scp=77749314637&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77749314637&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77749314637

VL - 13

SP - 373

EP - 379

JO - Journal of Advanced Computational Intelligence and Intelligent Informatics

JF - Journal of Advanced Computational Intelligence and Intelligent Informatics

SN - 1343-0130

IS - 4

ER -