Geodesic
Characterization of fuzzy order relation by fuzzy cone
Kybernetika, Tome 58 (2022) no. 5, pp. 779-789

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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.
DOI : 10.14736/kyb-2022-5-0779
Classification : 03E72, 18B35
Keywords: fuzzy order relation; fuzzy cone 
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     title = {Characterization of fuzzy order relation by fuzzy cone},
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Kon, Masamichi. Characterization of fuzzy order relation by fuzzy cone. Kybernetika, Tome 58 (2022) no. 5, pp. 779-789. doi: 10.14736/kyb-2022-5-0779

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