Abstract
In this study, several products of fuzzy transformation semigroups are generalized to the case where their truth structure is a complete lattice. We show that the direct product of two such fuzzy transformation semigroups is again a fuzzy transformation semigroup if and only if the lattice is distributive. In addition, after extending the cascade product, we introduce a novel way of building a fuzzy transformation semigroup starting from a unique automaton. The particular case of the lattice comprising all the closed subintervals contained in [0,1] is analyzed.
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.
