Title :
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
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;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.293
