| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 389158 | Fuzzy Sets and Systems | 2016 | 18 Pages |
Abstract
The aim of this study is to generalize convexity from vector-valued maps to n-dimensional fuzzy number-valued functions and to investigate some relations among the convexity and generalized convexity of n-dimensional fuzzy number-valued functions, which are based on a new ordering of n-dimensional fuzzy numbers proposed in this study. Furthermore, some criteria are obtained for the convexity and generalized convexity under the conditions of lower and upper semicontinuity, respectively. Finally, we study the local–global minimum properties of the convex fuzzy number-valued functions.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Zengtai Gong, Shexiang Hai,