Abstract
In our earlier papers we investigated function space structures in FTS, the category of fuzzy topological spaces and in FCS, the category of fuzzy convergence spaces. This paper is devoted to the study of function space structures in FUS, the category of fuzzy uniform spaces due to Lowen. We develop the basic theory and give examples of such structures such as pointwise and compact convergence. We consider separation axioms in these fuzzy function spaces and show that the fuzzy uniformity of uniform convergence is conjoining for C( X, Y). We define a notion of equicontinuous sets of mappings on which pointwise and compact convergence coincide.
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.
