Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6855777 | Fuzzy Sets and Systems | 2018 | 24 Pages |
Abstract
The fuzzy-valued vector function is defined and then divergence, Laplace, and gradient operators are defined for fuzzy-valued vector functions and fuzzy-valued functions. Moreover, a fuzzy Riemann line integral and its fundamental theorem are introduced. To complete our discussion, fuzzy Green's, fuzzy divergence, and fuzzy Green's identity theorems are proved. In detail, a fuzzy Poisson equation is considered by discussion of fuzzy maximum and minimum principles. Also, the uniqueness and stability of the solution of a fuzzy Poisson equation are investigated as theorems. Finally, for more illustration, some examples are solved.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Razieh Ghasemi Moghaddam, Tofigh Allahviranloo,