Abstract
For the value set I = [0, 1], the concepts of completely lower semicontinuous mappings and the completely induced space (which will be called completely topological generated space in present paper) were first introduced by Bhaumik and Mukherjee. When the value set is fuzzy lattice (i.e., completely distributive lattice with order-reversing involution ′), we discuss the properties of these concepts, and give many characterizations of them. Using the underlying space ( X, [ δ]) of an L-fts ( L X , δ) we answer the question when an L-fts can be completely topological generated by a crisp topological space.
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.
