### Abstract

This paper considers a new model of 0-1 knapsack problem including probabilistic coefficients with ambiguous expected returns assumed as random fuzzy variables. Since the random fuzzy 0-1 knapsack problem is not well-defined integer programming problem due to involve random fuzzy variables, it is hard to construct the efficient solution method to solve this problem directly. In this paper, using chance constraints, possibility measure and fuzzy goal based on both stochastic and fuzzy programming approaches, the main problem is transformed into a deterministic equivalent quadratic integer programming. Then, the efficient solution method to find a strict optimal solution based on dynamic programming is constructed.

Original language | English |
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Title of host publication | 2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 |

Pages | 548-554 |

Number of pages | 7 |

DOIs | |

Publication status | Published - 2008 Nov 7 |

Externally published | Yes |

Event | 2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 - Hong Kong, China Duration: 2008 Jun 1 → 2008 Jun 6 |

### Publication series

Name | IEEE International Conference on Fuzzy Systems |
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ISSN (Print) | 1098-7584 |

### Other

Other | 2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 |
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Country | China |

City | Hong Kong |

Period | 08/6/1 → 08/6/6 |

### ASJC Scopus subject areas

- Software
- Theoretical Computer Science
- Artificial Intelligence
- Applied Mathematics

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## Cite this

*2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008*(pp. 548-554). [4630422] (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZY.2008.4630422