Operations on Fuzzy Numbers with Two Fuzziness Sources

Author

Wang Bai-Sheng Wang ; Lei Xie

Author_Institution

Coll. of Civil Eng. & Archit., Zhejiang Univ., Hangzhou, China

Volume

7

fYear

2009

fDate

14-16 Aug. 2009

Firstpage

71

Lastpage

75

Abstract

The extension principle for n-ary operations is suitable for operations on different fuzzy numbers, while the unreasonable results will be concluded when it is used for operations on several fuzzy numbers with same fuzziness source. A concept called fuzziness source is proposed. Then, the unit fuzzy number is defined to simplify the operation. The operation rules are respectively constructed for fuzzy numbers with same fuzziness source and two fuzziness sources by means of the unit fuzzy number. The linear system of equations of the fuzzy numbers with two fuzziness sources is defined and the solving method is also presented.

Keywords

fuzzy set theory; fuzziness source; linear system; unit fuzzy number; Algebra; Arithmetic; Civil engineering; Educational institutions; Equations; Finite element methods; Frequency estimation; Fuzzy systems; Linear systems; Technology management; extension principle; fuzziness source; fuzzy number; operation; unit fuzzy number;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on

Conference_Location

Tianjin

Print_ISBN

978-0-7695-3735-1

Type

conf

DOI

10.1109/FSKD.2009.293

Filename

5359950