### Abstract

This paper considers two-level linear programming problems where each coefficient of the objective functions is expressed by a random fuzzy variable. A new decision making model is proposed in order to maximize both of possibility and probability with respect to the objective function value. After the original random fuzzy two-level programming problem is reduced to a deterministic one through the proposed model, interactive programming to derive a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented.

Original language | English |
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Title of host publication | Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010 |

Pages | 2113-2118 |

Number of pages | 6 |

Publication status | Published - 2010 Dec 1 |

Externally published | Yes |

Event | International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010 - Kowloon, Hong Kong Duration: 2010 Mar 17 → 2010 Mar 19 |

### Publication series

Name | Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010 |
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### Other

Other | International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010 |
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Country | Hong Kong |

City | Kowloon |

Period | 10/3/17 → 10/3/19 |

### Keywords

- Cooperative two-level programming
- Fractile criterion
- Interactive algorithm
- Possibility measure
- Random fuzzy variable

### ASJC Scopus subject areas

- Computer Science (miscellaneous)

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## Cite this

Katagiri, H., Niwa, K., Kubo, D., & Hasuike, T. (2010). Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality. In

*Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010*(pp. 2113-2118). (Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010).