建立了双枝模糊集并-表现定理，讨论了双枝模糊集的运算性质。
The union-representation theorem of both-branch fuzzy set is given, and some operational properties of both-branch fuzzy set are discussed.
基于表现定理推导出三角模糊数相乘的精确求法，并求得各风险的模糊成本重要度。
Furthermore, an accurate calculation method for the multiplication of fuzzy Numbers is derived, and the fuzzy cost importance of each risk is obtained according to the representation theorem.
讨论灰色数学理论的一个基本问题，即灰色集合以及它的有关运算，灰集的分解定理、表现定理和扩张原理。
This paper discusses a principal problem in grey mathematical theory, that is grey set and its operation, and proves the decomposition theorem, representation theorem and extension principle.
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