We state that the risk measure which is translate invariant , sub - additive , positive homogeneous , and monotone , is the coherent risk measure 指出,满足平移不变性、次可加性、正齐次性和单调性的风险测度为一致风险测度。
By using the properties of - hypercenter and - homogeneous , some sufficient and necessary conditions for a finite group to be - nilpotent are obtained . and some well - known theorems are generalized 摘要利用-超中心和-齐次性的性质,对-幂零群作了较详尽的研究,得到了有限群为-幂零群的几个充要条件,推广了一些著名的定理。
Considering the monotony and regularity of euclid arithmetic , the paper proposes a new multiple attribute decision making approach based on the ordinal euclid arithmetic , and the monotony , regularity and metathesis immutability of the ordinal euclid arithmetic are proved too 基于算子有序性的构建思想,本文提出并构建了基于有序欧几里德算子的区间数多属性决策算法模型,证明了有序欧几里德算子的单调性、齐次性和幂等性。