Characterization of fuzzy order relation by fuzzy cone
Masamichi Kon · Kybernetika · 2023
In the present paper, fuzzy order relations on a real vector space are characterized by fuzzy cones.It is well-known that there is one-to-one correspondence between order relations, that a real vector space with the order relation is an ordered vector space, and pointed convex cones.We show that there is one-to-one correspondence between fuzzy order relations with some properties, which are fuzzification of the order relations, and fuzzy pointed convex cones, which are fuzzification of the pointed convex cones.