In this paper, the notion of (L,M)-fuzzy topological-convex spaces is introduced and some of its characterizations are obtained. Then the notion of (L,M)-fuzzy convex enclosed relation spaces is introduced and its one-to-one correspondence with (L,M)-fuzzy convex space is studied. Based on this, the notion of (L,M)-fuzzy topological-convex enclosed relation spaces is introduced and its categorical isomorphism to (L,M)-fuzzy topological-convex spaces is discussed.
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Wu et al. (2019) studied this question.
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