### Abstract

This paper considers a bi-criteria general 0-1 random fuzzy programming problem based on the degree of necessity which include some previous 0-1 stochastic and fuzzy programming problems. The proposal problem is not well-defined due to including randomness and fuzziness. Therefore, by introducing chance constraint and fuzzy goals for objectives, and considering the maximization of the aspiration level for total profit and the degree of necessity that the objective function's value satisfies the fuzzy goal, the main problem is transformed into a deterministic equivalent problem. Furthermore, by using the assumption that each random variable is distributed according to a normal distribution, the problem is equivalently transformed into a basic 0-1 programming problem, and the efficient strict solution method to find an optimal solution is constructed.

Original language | English |
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Title of host publication | IAENG Transactions on Engineering Technologies Volume 3 - Special Edition of the International MultiConference of Engineers and Computer Scientists 2009 |

Pages | 69-82 |

Number of pages | 14 |

DOIs | |

Publication status | Published - 2009 Nov 30 |

Externally published | Yes |

Event | International MultiConference of Engineers and Computer Scientists, IMECS 2009 - Hong Kong, China Duration: 2009 Mar 18 → 2009 Mar 20 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1174 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | International MultiConference of Engineers and Computer Scientists, IMECS 2009 |
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Country | China |

City | Hong Kong |

Period | 09/3/18 → 09/3/20 |

### Keywords

- 0-1 programming problem
- Degree of necessity
- Maximm approach
- Random fuzzy variables
- Relaxation problem

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*IAENG Transactions on Engineering Technologies Volume 3 - Special Edition of the International MultiConference of Engineers and Computer Scientists 2009*(pp. 69-82). (AIP Conference Proceedings; Vol. 1174). https://doi.org/10.1063/1.3256262