### Abstract

We discuss uncertainty included in demands in facility location problem in this paper. The uncertain demand is named as fuzzy demand in the paper. In the facility location model, the parameters of fuzzy demand are determined by calculating the estimated expected value of the fuzzy demand, which is obtained by using estimated parameters of underlying probability distribution function of fuzzy data. Moreover, we propose a defuzzification formula of the fuzzy demand named a realization of fuzzy demand. The defuzzification formula of fuzzy demand composes the upper bound of fuzzy demand and the lower bound of fuzzy demand. Moreover, an error of fuzzy demand is assessed as mean absolute percentage error of fuzzy demand. Empirical studies show that we can solve the real-life location problem by using the defuzzification formula of fuzzy demand and get higher profit in our facility location model than conventional methods.

Original language | English |
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Title of host publication | Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 |

Pages | 795-800 |

Number of pages | 6 |

DOIs | |

Publication status | Published - 2013 |

Event | 9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 - Edmonton, AB Duration: 2013 Jun 24 → 2013 Jun 28 |

### Other

Other | 9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013 |
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City | Edmonton, AB |

Period | 13/6/24 → 13/6/28 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Networks and Communications

### Cite this

*Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013*(pp. 795-800). [6608502] https://doi.org/10.1109/IFSA-NAFIPS.2013.6608502

**Facility location problems with fuzzy demands based on parametric assessment.** / Lin, Pei Chun; Watada, Junzo; Wu, Berlin.

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

*Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013.*, 6608502, pp. 795-800, 9th Joint World Congress on Fuzzy Systems and NAFIPS Annual Meeting, IFSA/NAFIPS 2013, Edmonton, AB, 13/6/24. https://doi.org/10.1109/IFSA-NAFIPS.2013.6608502

}

TY - GEN

T1 - Facility location problems with fuzzy demands based on parametric assessment

AU - Lin, Pei Chun

AU - Watada, Junzo

AU - Wu, Berlin

PY - 2013

Y1 - 2013

N2 - We discuss uncertainty included in demands in facility location problem in this paper. The uncertain demand is named as fuzzy demand in the paper. In the facility location model, the parameters of fuzzy demand are determined by calculating the estimated expected value of the fuzzy demand, which is obtained by using estimated parameters of underlying probability distribution function of fuzzy data. Moreover, we propose a defuzzification formula of the fuzzy demand named a realization of fuzzy demand. The defuzzification formula of fuzzy demand composes the upper bound of fuzzy demand and the lower bound of fuzzy demand. Moreover, an error of fuzzy demand is assessed as mean absolute percentage error of fuzzy demand. Empirical studies show that we can solve the real-life location problem by using the defuzzification formula of fuzzy demand and get higher profit in our facility location model than conventional methods.

AB - We discuss uncertainty included in demands in facility location problem in this paper. The uncertain demand is named as fuzzy demand in the paper. In the facility location model, the parameters of fuzzy demand are determined by calculating the estimated expected value of the fuzzy demand, which is obtained by using estimated parameters of underlying probability distribution function of fuzzy data. Moreover, we propose a defuzzification formula of the fuzzy demand named a realization of fuzzy demand. The defuzzification formula of fuzzy demand composes the upper bound of fuzzy demand and the lower bound of fuzzy demand. Moreover, an error of fuzzy demand is assessed as mean absolute percentage error of fuzzy demand. Empirical studies show that we can solve the real-life location problem by using the defuzzification formula of fuzzy demand and get higher profit in our facility location model than conventional methods.

UR - http://www.scopus.com/inward/record.url?scp=84886512280&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84886512280&partnerID=8YFLogxK

U2 - 10.1109/IFSA-NAFIPS.2013.6608502

DO - 10.1109/IFSA-NAFIPS.2013.6608502

M3 - Conference contribution

AN - SCOPUS:84886512280

SN - 9781479903474

SP - 795

EP - 800

BT - Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting, IFSA/NAFIPS 2013

ER -