Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4944937 | Information Sciences | 2016 | 16 Pages |
Abstract
In this paper, we present a characteristic theorem for the generalized difference concept of n-dimensional fuzzy-numbers by means of support functions. The concepts of differentiability for n-dimensional fuzzy-number-valued functions are presented and discussed using the new generalized difference. The relationships of g-differentiability, s-differentiability, and l-differentiability are characterized. Furthermore, optimization problems with s-convex and s-differentiable fuzzy-number-valued functions are described.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Shexiang Hai, Zengtai Gong, Hongxia Li,