Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389161 | Fuzzy Sets and Systems | 2016 | 27 Pages |
Abstract
Since addition possesses an inverse in the quotient space of fuzzy numbers based on Mareš equivalence relation, in this paper, we introduce a metric on the quotient space of fuzzy numbers, and then deal with fuzzy mappings of a real variable whose values are equivalence classes of fuzzy numbers. We study differentiability and integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy differential equation. Finally, some examples are given to illustrate the main theorems.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Dong Qiu, Wei Zhang, Chongxia Lu,