Title :
Trapezoidal approximations by preserving the interval-valued possibilistic mean of fuzzy numbers with restrictions on support and core
Author_Institution :
Dept. of Sci., Lijiang Coll. of Guangxi Normal Univ., Guilin, China
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162410
