### Abstract

In the first report, we proposed a method of optimum design using fuzzy numbers as design variables. But in that report, all the calculations had been performed by a basic fuzzy number operator, so the problems to be solved are restricted only those whose equations are expressed explicitly. As most of the optimum design problems are not so simple, especially in structural design problems, it will be rather difficult and sometimes almost impossible to express the equations such as objective function and constraints explicitly. For this reason, we developed a simple fuzzy number operation and examined its adequacy through comparison with the basic fuzzy operation. In this report, we solve the same optimum design problem which was solved in the first report, and examined the efficiency of the method. We then apply it to the optimum design problem on the lib structure of a parabolic antenna, and we examine and show the effectiveness of the method.

Original language | English |
---|---|

Pages (from-to) | 1716-1721 |

Number of pages | 6 |

Journal | Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |

Volume | 58 |

Issue number | 550 |

DOIs | |

Publication status | Published - 1992 |

Externally published | Yes |

### Fingerprint

### Keywords

- Design Engineering
- Fuzzy Number
- Fuzzy Set Theory
- Optimum Design

### ASJC Scopus subject areas

- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering

### Cite this

*Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*,

*58*(550), 1716-1721. https://doi.org/10.1299/kikaic.58.1716

** A Study on Optimum Design Using Fuzzy Numbers as Design Variables (2nd Report, Development of Simple Fuzzy Number Operation and Its Application).** / Arakawa, Masao; Yamakawa, Hiroshi.

Research output: Contribution to journal › Article

*Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*, vol. 58, no. 550, pp. 1716-1721. https://doi.org/10.1299/kikaic.58.1716

}

TY - JOUR

T1 - A Study on Optimum Design Using Fuzzy Numbers as Design Variables (2nd Report, Development of Simple Fuzzy Number Operation and Its Application)

AU - Arakawa, Masao

AU - Yamakawa, Hiroshi

PY - 1992

Y1 - 1992

N2 - In the first report, we proposed a method of optimum design using fuzzy numbers as design variables. But in that report, all the calculations had been performed by a basic fuzzy number operator, so the problems to be solved are restricted only those whose equations are expressed explicitly. As most of the optimum design problems are not so simple, especially in structural design problems, it will be rather difficult and sometimes almost impossible to express the equations such as objective function and constraints explicitly. For this reason, we developed a simple fuzzy number operation and examined its adequacy through comparison with the basic fuzzy operation. In this report, we solve the same optimum design problem which was solved in the first report, and examined the efficiency of the method. We then apply it to the optimum design problem on the lib structure of a parabolic antenna, and we examine and show the effectiveness of the method.

AB - In the first report, we proposed a method of optimum design using fuzzy numbers as design variables. But in that report, all the calculations had been performed by a basic fuzzy number operator, so the problems to be solved are restricted only those whose equations are expressed explicitly. As most of the optimum design problems are not so simple, especially in structural design problems, it will be rather difficult and sometimes almost impossible to express the equations such as objective function and constraints explicitly. For this reason, we developed a simple fuzzy number operation and examined its adequacy through comparison with the basic fuzzy operation. In this report, we solve the same optimum design problem which was solved in the first report, and examined the efficiency of the method. We then apply it to the optimum design problem on the lib structure of a parabolic antenna, and we examine and show the effectiveness of the method.

KW - Design Engineering

KW - Fuzzy Number

KW - Fuzzy Set Theory

KW - Optimum Design

UR - http://www.scopus.com/inward/record.url?scp=84996348841&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84996348841&partnerID=8YFLogxK

U2 - 10.1299/kikaic.58.1716

DO - 10.1299/kikaic.58.1716

M3 - Article

VL - 58

SP - 1716

EP - 1721

JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 550

ER -