### 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 |

Externally published | Yes |

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

### 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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Computer Science (miscellaneous)

### Cite this

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

**Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality.** / Katagiri, Hideki; Niwa, Keiichi; Kubo, Daiji; Hasuike, Takashi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010.*pp. 2113-2118, International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010, Kowloon, Hong Kong, 10/3/17.

}

TY - GEN

T1 - Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality

AU - Katagiri, Hideki

AU - Niwa, Keiichi

AU - Kubo, Daiji

AU - Hasuike, Takashi

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Cooperative two-level programming

KW - Fractile criterion

KW - Interactive algorithm

KW - Possibility measure

KW - Random fuzzy variable

UR - http://www.scopus.com/inward/record.url?scp=79952417652&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952417652&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79952417652

SN - 9789881701282

SP - 2113

EP - 2118

BT - Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010

ER -