Abstract

The algebra of truth values of type-2 fuzzy sets contains isomorphic copies of the algebra of truth values of type-1 fuzzy sets and the algebra of truth values of interval-valued fuzzy sets. The algebra of truth values of type-2 fuzzy sets is not a lattice, but these subalgebras are lattices, and in fact, are complete lattices. There are many other subalgebras that are lattices, for example, the subalgebra of convex normal elements. This paper examines several subalgebras which are lattices, with the goal of determining whether or not they are complete.

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.