Abstract
In this paper, we investigate the relationship among soft sets, rough sets, fuzzy sets and rings. The notion of soft fuzzy rough rings (ideals) of rings is introduced, which is an extended notion of soft rough fuzzy rings (ideals) of rings. It is pointed out that in this paper, we first apply soft fuzzy rough sets to rings. Moreover, we study roughness in rings with respect to a pseudo-soft fuzzy approximation space. Some new soft fuzzy rough operations over rings are explored. In particular, lower and upper soft fuzzy rough rings (ideals) of rings are investigated. Finally, as an application, we put forth an approach to decision making based on soft fuzzy rough sets and offer an actual example.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
