Abstract

This paper presents a general framework for the study of (I, T)-interval-valued intuitionistic fuzzy rough sets integrating the intuitionistic rough set with the interval-valued fuzzy set theory by axiomatic approaches. Some primary properties of interval-valued fuzzy logical operators are first introduced and a pair of lower and upper interval-valued intuitionistic fuzzy rough approximation operators w.r.t. an arbitrary interval-valued intuitionistic fuzzy relations is then defined. Finally, an operator-oriented characterization of interval-valued intuittionistic fuzzy rough sets is proposed in the axiomatic approach, and some results about approximation operators are obtained.

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 call

Disclaimer: 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.