Lattice Properties of Discrete Fuzzy Numbers under Extended Min and Max
نویسندگان
چکیده
This paper proposes to study the lattice properties of two closed binary operations in the set of discrete fuzzy numbers. Using these operations to represent the meet and the join, we prove that the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers is a distributive lattice. Finally, we demonstrate that the subsets of discrete fuzzy numbers, which have the same support, are distributive lattices too. Keywords— Fuzzy numbers, discrete fuzzy numbers, distributive lattice.
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