Abstract
In this paper we study a modified concept called fuzzy convexity which was proposed by Ammar and Metz (Fuzzy Sets and Systems 49 (1992) 135). A criteria for convex fuzzy sets under lower semicontinuity is given. We prove in the upper semicontinuous case, that the class of semistrictly quasiconvex fuzzy sets lies between the quasiconvex and strictly quasiconvex classes. We also prove for both families of semistrictly quasiconvex and strictly quasiconvex fuzzy sets, that every local maximizer is also a global one. In addition, a characterization of quasimonotonic fuzzy sets in terms of level sets is given.
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.
