Based on the conception of P(ρ,σ)-set(XP ˉFρ, XPFσ), this paper studied the relation between outer P(ρ,σ)-set and outer P-set: give outer P(ρ,σ)-set and outer P-set relation theorem, outer P(ρ,σ)-set and nu...Based on the conception of P(ρ,σ)-set(XP ˉFρ, XPFσ), this paper studied the relation between outer P(ρ,σ)-set and outer P-set: give outer P(ρ,σ)-set and outer P-set relation theorem, outer P(ρ,σ)-set and numerical value σ relation theorem, outer P(ρ,σ)-set's range;studied other characteristics of outer P(ρ,σ)-set: give the finiteness theorem of outer P(ρ,σ)-set, the set chain theorem of outer P(ρ,σ)-set, the outer P(ρ,σ)-set probability interval finite partition theorem, and its corollary; also give generation, reduction, identification theorem of outer P(ρ,σ)-set, filter generation theorem of outer P(ρ,σ)-set; finally give its application.展开更多
把动态特性引入到有限普通集合X内,改进了普通集合X,提出了P-集合(packet sets);P-集合是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性:内P-集合...把动态特性引入到有限普通集合X内,改进了普通集合X,提出了P-集合(packet sets);P-集合是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性:内P-集合具有内-动态特性,外P-集合具有外-动态特性。把P-集合(X■,XF)引入到L.A.Zadeh模糊集A中,改进L.A.Zadeh模糊集A,提出P-模糊集(packet fuzzy sets)。P-模糊集是由内P-模糊集A■(internal packetfuzzy set A■)与外P-模糊集AF(outer packet fuzzy set AF)构成的模糊集合对,或者(A■,AF)是P-模糊集。P-模糊集具有动态特性,给出了P-模糊集的若干特征与应用。在一定条件下,P-模糊集(A■,AF)能够回到L.A.Zadeh模糊集A的"原点"。P-模糊集比L.A.Zadeh模糊集具有更大的应用空间。P-模糊集是模糊集理论与应用中的一个新的研究方向。展开更多
P-集合(packet set)是由内P-集合X-F(internal packet set X-F)与外P-集合XF(outer packet set XF)构成的集合对,或者(XF,XF)是P-集合.把生物学中"隐性","显性"概念与外P-信息交叉、嫁接,得到P-集合具有显性、隐性...P-集合(packet set)是由内P-集合X-F(internal packet set X-F)与外P-集合XF(outer packet set XF)构成的集合对,或者(XF,XF)是P-集合.把生物学中"隐性","显性"概念与外P-信息交叉、嫁接,得到P-集合具有显性、隐性特征;对外P-集合的隐性特征进行研究,提出了外P-隐性信息、显性信息等概念,给出了外P-隐性信息特征与外P-推理生成定理,给出了外P-隐性信息的外P-推理搜索算法;最后给出外P-隐性信息在动态信息挖掘中的应用.展开更多
P-集合(packet sets)把动态特性引入到有限普通集合X(cantor set X)内,改进有限普通集合X,被提出的P-集合具有动态特性,P-集合是由内P-集合XF(internal packet set XF)与外P-集合XF(outer packet set XF)构成的元素集合对,或者(XF,XF)...P-集合(packet sets)把动态特性引入到有限普通集合X(cantor set X)内,改进有限普通集合X,被提出的P-集合具有动态特性,P-集合是由内P-集合XF(internal packet set XF)与外P-集合XF(outer packet set XF)构成的元素集合对,或者(XF,XF)是P-集合.利用外P-集合结构与生物学中显性基因、隐性基因概念交叉,给出外P-信息的显性、隐性概念;给出外P-信息显性特征、隐性特征与度量,给出外P-信息的显性、隐性定理,给出外P-信息的显性、隐性生成的属性特征.展开更多
Figs (Moracea: Ficus) and fig wasps (Hymenoptera: Chlocloids: Agaonideae) depend on each other to complete their reproduction. Monoecious fig species and their pollinating wasps are in conflict over the use of fig ov...Figs (Moracea: Ficus) and fig wasps (Hymenoptera: Chlocloids: Agaonideae) depend on each other to complete their reproduction. Monoecious fig species and their pollinating wasps are in conflict over the use of fig ovaries which can either produce one seed or one wasp. From observation on Ficus virens Ait., we showed that female flowers with outer layer of ovaries (near to the wall of syconium) had no significant difference from that with inner and interval layer of ovaries (near to the syconium cavity), in which most seeds and wasps were produced. This meant that fig tree provided the same potential resource for seed and wasps production. Observation indicated that there was usually only one foundress in syconium at female flower phase and no com- petition pollinators. Measurement of the style length of female flowers and the ovipositor of pollinators indicated that most ovaries could be reached by pollinator’s ovipositor. However, at the male flower phase, production of seeds was significantly more than that of wasps including non-pollinating wasps but there was no significant difference between seed and pollinating wasp production when without non-pollinating wasps produced. This result indicated that non-pollinating wasps competed ovaries not with seeds but with pollinating wasps for ovipositing. Bagged experiment showed that the sampling fig species was not self-sterile which was important for figs and wasps to survive bad season. Seed production in self-pollinated figs was not significantly different from total wasps in- cluding non-pollinating ones. This might be related with the weaker competition among wasps since bagged figs were not easy to reach by wasps from outside.展开更多
基金Foundation item： Supported by the Basic and Frontier Technology Research Projects of Henan Province （132300410289） Supported by the Natural Science Foundation of Fujian Province（2012D112）
文摘Based on the conception of P(ρ,σ)-set(XP ˉFρ, XPFσ), this paper studied the relation between outer P(ρ,σ)-set and outer P-set: give outer P(ρ,σ)-set and outer P-set relation theorem, outer P(ρ,σ)-set and numerical value σ relation theorem, outer P(ρ,σ)-set's range;studied other characteristics of outer P(ρ,σ)-set: give the finiteness theorem of outer P(ρ,σ)-set, the set chain theorem of outer P(ρ,σ)-set, the outer P(ρ,σ)-set probability interval finite partition theorem, and its corollary; also give generation, reduction, identification theorem of outer P(ρ,σ)-set, filter generation theorem of outer P(ρ,σ)-set; finally give its application.
文摘把动态特性引入到有限普通集合X内,改进了普通集合X,提出了P-集合(packet sets);P-集合是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性:内P-集合具有内-动态特性,外P-集合具有外-动态特性。把P-集合(X■,XF)引入到L.A.Zadeh模糊集A中,改进L.A.Zadeh模糊集A,提出P-模糊集(packet fuzzy sets)。P-模糊集是由内P-模糊集A■(internal packetfuzzy set A■)与外P-模糊集AF(outer packet fuzzy set AF)构成的模糊集合对,或者(A■,AF)是P-模糊集。P-模糊集具有动态特性,给出了P-模糊集的若干特征与应用。在一定条件下,P-模糊集(A■,AF)能够回到L.A.Zadeh模糊集A的"原点"。P-模糊集比L.A.Zadeh模糊集具有更大的应用空间。P-模糊集是模糊集理论与应用中的一个新的研究方向。
文摘P-集合(packet set)是由内P-集合X-F(internal packet set X-F)与外P-集合XF(outer packet set XF)构成的集合对,或者(XF,XF)是P-集合.把生物学中"隐性","显性"概念与外P-信息交叉、嫁接,得到P-集合具有显性、隐性特征;对外P-集合的隐性特征进行研究,提出了外P-隐性信息、显性信息等概念,给出了外P-隐性信息特征与外P-推理生成定理,给出了外P-隐性信息的外P-推理搜索算法;最后给出外P-隐性信息在动态信息挖掘中的应用.
文摘P-集合(packet sets)把动态特性引入到有限普通集合X(cantor set X)内,改进有限普通集合X,被提出的P-集合具有动态特性,P-集合是由内P-集合XF(internal packet set XF)与外P-集合XF(outer packet set XF)构成的元素集合对,或者(XF,XF)是P-集合.利用外P-集合结构与生物学中显性基因、隐性基因概念交叉,给出外P-信息的显性、隐性概念;给出外P-信息显性特征、隐性特征与度量,给出外P-信息的显性、隐性定理,给出外P-信息的显性、隐性生成的属性特征.
基金Supported by the Knowledge Innovation Research Program,Chinese Academy of Sciences (KSCX2-SW-105)
文摘Figs (Moracea: Ficus) and fig wasps (Hymenoptera: Chlocloids: Agaonideae) depend on each other to complete their reproduction. Monoecious fig species and their pollinating wasps are in conflict over the use of fig ovaries which can either produce one seed or one wasp. From observation on Ficus virens Ait., we showed that female flowers with outer layer of ovaries (near to the wall of syconium) had no significant difference from that with inner and interval layer of ovaries (near to the syconium cavity), in which most seeds and wasps were produced. This meant that fig tree provided the same potential resource for seed and wasps production. Observation indicated that there was usually only one foundress in syconium at female flower phase and no com- petition pollinators. Measurement of the style length of female flowers and the ovipositor of pollinators indicated that most ovaries could be reached by pollinator’s ovipositor. However, at the male flower phase, production of seeds was significantly more than that of wasps including non-pollinating wasps but there was no significant difference between seed and pollinating wasp production when without non-pollinating wasps produced. This result indicated that non-pollinating wasps competed ovaries not with seeds but with pollinating wasps for ovipositing. Bagged experiment showed that the sampling fig species was not self-sterile which was important for figs and wasps to survive bad season. Seed production in self-pollinated figs was not significantly different from total wasps in- cluding non-pollinating ones. This might be related with the weaker competition among wasps since bagged figs were not easy to reach by wasps from outside.
