The fuzzification of convex sets in median algebras is considered, and some of their properties are investigated. A characterization
of finite valued fuzzy convex set is given.
AMS Mathematics Subject Classification Primary 03G10 - 03G25 - 03E72
Key words and phrases (Fuzzy) convex set - level convex set - finite valued fuzzy convex set
Y. B. Jun has been an educator and research mathematician since 1982, mostly at the Gyeongsang National University; and a member of
the editorial board of Far East Journal of Mathematical Science (india) since 1998, and Quasigroups and Related Systems (Moldova)
since 2000. He did postdoctoral work (one year, 1989–90, supported by KOSEF) at the University of Albert in Albert, Canada;
and worked for one year (1996–97) as a visiting professor at the Northwest University in Xian, China (supported by LG Yonam
Foundation). He has also served for a month as a visiting professor at the Southwest Jiaotong University (1998, supported
by KOSEF-NSFC) and the South-Central University for Nationalities) in China, and the Technical University (2000, supported
by KOSEF-PAS) in Poland. His research interests focus on the structure theory of BCK/BCI-algebras, Hilbert algebras, (lattice)
implication algebras and negatively partially ordered semigroups, and fuzzy and hyper theory of such algebraic structures.
Jun is a co-author of the textBCK-algebras with J. Meng which is an approachable introduction to BCK/BCI-algebras.
K. H. Kim received his BS from Kongju University and Ph.D at Kyung Hee University under the direction of Kyung Rin Chun. Since 1989
he has been at the Chungju University and a member of the editorial board of Quasigroups and Related Systems (Moldova) since
2000. His research interests center on fuzzy algebra and semigroups.