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math.CT2026
A Natural Fuzzy Order on Fuzzy Numbers
Hui Kou, Mingchun Xie
This paper introduces a natural fuzzy order on fuzzy numbers that extends the natural orders on real numbers and interval numbers. We investigate its completeness properties and sh…
math.CT2022
Free algebras over directed spaces
Yuxu Chen, Hui Kou
Directed spaces are natural topological extensions of dcpos in domain theory and form a cartesian closed category. In order to model nondeterministic semantics, the power structure…