There are several natural ways to fuzzify the concepts of prime ideal, primary ideal, the radical of an ideal, and the primary representation of an ideal in a commutative ring. In this paper, we introduce some new approaches and compare them with known ones. Our main goal is to unify the various possible fuzzy primary representations of a fuzzy ideal to prepare the way for the study of fuzzy nonlinear systems of equations.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Theoretical Computer Science
- Computer Science Applications
- Information Systems and Management
- Artificial Intelligence