A non-frame valued Cartesian closed category of liminf complete fuzzy orders

摘要

Let H={0, 1/2, 1} with the natural order and p&q= max{p + q - 1, 0} for all p, q is an element of H. It is proved that the category of liminf complete H-ordered sets is Cartesian closed. It reveals that there exists a Cartesian closed category consisting of non-frame valued liminf complete fuzzy ordered sets. (C) 2016 Elsevier B.V. All rights reserved.