Abstract
The N-Euclidean space M(I) is a fuzzy normed vector space, whose underlying set is the smallest real vector space including all nonnegative fuzzy real numbers. The fuzzy multiplication on the fuzzy real line easily extends to a multiplication on M(I) . We show that, under that multiplication, M(I) is a fuzzy normed algebra. In consequence, fuzzy multiplication is shown to be continuous in the N-Euclidean topology on M(I) .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.