Existence of extremal solutions for quadratic fuzzy equations

被引:36
|
作者
Nieto, Juan J. [1 ]
Rodriguez-Lopez, Rosana [1 ]
机构
[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
关键词
D O I
10.1155/FPTA.2005.321
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some results on the existence of solution for certain fuzzy equations are revised and extended. In this paper, we establish the existence of a solution for the fuzzy equation Ex2 + Fx + G = x, where E, F, G, and x are positive fuzzy numbers satisfying certain conditions. To this purpose, we use fixed point theory, applying results such as the well-known fixed point theorem of Tarski, presenting some results regarding the existence of extremal solutions to the above equation.
引用
收藏
页码:321 / 342
页数:22
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