Note on fuzzy monotonic interpolating splines of odd degree
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- 作者：Alexandru Mihai Bica abica@uoradea.ro ; Constantin Popescu ; cpopescu@uoradea.ro
- 关键词：Fuzzy Hermite type polynomial splines ; Fuzzy monotonic quintic spline ; Fuzzy linear and positive operators
- 刊名：Fuzzy Sets and Systems
- 出版年：2017
- 出版时间：1 March 2017
- 年：2017
- 卷：310
- 期：Complete
- 页码：60-73
- 全文大小：368 K
- 卷排序：310
文摘
In this paper we propose a Hermite type monotonic fuzzy quintic spline for interpolating fuzzy data. Its monotonicity is proved and the corresponding interpolation error estimate is provided. This fuzzy quintic spline is generalized to odd degree monotonic fuzzy splines. The uniform approximation property of the corresponding fuzzy linear and positive operator is obtained. The monotonicity is tested on a numerical experiment.