摘要
从集合的对称差集合的 L ebesgue测度出发 ,建立了衡量 Fuzzy数之间差异的p-平均对称差度量 dΔp,证明了 dΔp在空间 E1(K) ={ A~ |A~ ∈ E1,A0 K,K∈ I(R) }上是完备的拟度量 ,并举例说明 (E1,dΔ p)不是完备的拟度量空间。
By applying Lebesgue s measure on the symmetric difference of sets,the p mean symmetric difference metric d Δp is established to measure the difference between Fuzzy numbers,and it is proved that d Δ p is a complete pseudo metric on space E(K)={A~|A~∈E 1,A 0K,K∈I(R)},and it is illustrated by examples that (E 1,d Δp ) is not complete pseudo metric space.
出处
《河北科技大学学报》
CAS
2000年第1期1-7,共7页
Journal of Hebei University of Science and Technology
基金
国家教委高校博士点基金