DocumentCode
724239
Title
Trapezoidal approximations by preserving the interval-valued possibilistic mean of fuzzy numbers with restrictions on support and core
Author
Hai-bin Xie
Author_Institution
Dept. of Sci., Lijiang Coll. of Guangxi Normal Univ., Guilin, China
fYear
2015
fDate
23-25 May 2015
Firstpage
2833
Lastpage
2838
Abstract
By adding two supplementary constraint conditions on the support and core, we present a new approach to obtain trapezoidal approximation of a fuzzy number by preserving the interval-valued possibilistic mean. Moreover, some properties of the proposed approximation are studied, including translation invariance, scale invariance and identity. Finally, we illustrate the efficiency of proposed method by some numerical examples.
Keywords
approximation theory; decision making; fuzzy set theory; transportation; fuzzy decision making; fuzzy number; fuzzy transportation problem; interval-valued possibilistic mean preservation; supplementary constraint condition; trapezoidal approximation; Approximation methods; Data processing; Decision making; Electronic mail; Expert systems; Minimization; Transportation; Core; Fuzzy number; Interval-valued possibilistic mean; Support; Trapezoidal approximation;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location
Qingdao
Print_ISBN
978-1-4799-7016-2
Type
conf
DOI
10.1109/CCDC.2015.7162410
Filename
7162410
Link To Document