In the present study we have formulated a Minimum Cross Fuzzy Entropy Problem (Minx(F)EntP) and proposed sufficient conditions for existence of its solution. Mentioned problem can be formulated as follows. In the ...In the present study we have formulated a Minimum Cross Fuzzy Entropy Problem (Minx(F)EntP) and proposed sufficient conditions for existence of its solution. Mentioned problem can be formulated as follows. In the set of membership functions satisfying the given moment constraints generated by given moment functions it is required to choose the membership function that is closest to a priori membership function in the sense of cross fuzzy entropy measure. The existence of solution of formulated problem is proved by virtue of concavity property of cross fuzzy entropy measure, the implicit function theorem and Lagrange multipliers method. Moreover, Generalized Cross Fuzzy Entropy Optimization Methods in the form of MinMinx(F)EntM and MaxMinx(F)EntM are suggested on the basis of primary phase of minimizing cross fuzzy entropy measure for fixed moment vector function and on the definition of the special functional with Minx(F)Ent values of cross fuzzy entropy measure. Next phase for obtaining mentioned distributions consists of optimization of defined functional with respect to moment vector functions. Distributions obtained by mentioned methods are defined as (MinMinx(F)Ent)m and (MaxMinx(F)Ent)m distributions.展开更多
The concentration of Industries In cities is a commonphenomenon In the course of urhanlzatlon.The reason isIballhe concenlralbn orsndustrles wsuob重alnlhe‘乞concen-traied conomlc returns.” The concentration ofindust...The concentration of Industries In cities is a commonphenomenon In the course of urhanlzatlon.The reason isIballhe concenlralbn orsndustrles wsuob重alnlhe‘乞concen-traied conomlc returns.” The concentration ofindustriesincities has occupied more land for indutrial use ifthe industri-al land use makes up a very low proportion in the total landuse In cities,the concentrated e门Dciency can not be broughtinto play.Ifthe Proportion is too big,land for other func-nons will be squeezed out,thus affecting the full play of theoverall functions of*theons urban land.The unreasonable indus-trial land used now exists in Chinese cities.展开更多
文摘In the present study we have formulated a Minimum Cross Fuzzy Entropy Problem (Minx(F)EntP) and proposed sufficient conditions for existence of its solution. Mentioned problem can be formulated as follows. In the set of membership functions satisfying the given moment constraints generated by given moment functions it is required to choose the membership function that is closest to a priori membership function in the sense of cross fuzzy entropy measure. The existence of solution of formulated problem is proved by virtue of concavity property of cross fuzzy entropy measure, the implicit function theorem and Lagrange multipliers method. Moreover, Generalized Cross Fuzzy Entropy Optimization Methods in the form of MinMinx(F)EntM and MaxMinx(F)EntM are suggested on the basis of primary phase of minimizing cross fuzzy entropy measure for fixed moment vector function and on the definition of the special functional with Minx(F)Ent values of cross fuzzy entropy measure. Next phase for obtaining mentioned distributions consists of optimization of defined functional with respect to moment vector functions. Distributions obtained by mentioned methods are defined as (MinMinx(F)Ent)m and (MaxMinx(F)Ent)m distributions.
文摘The concentration of Industries In cities is a commonphenomenon In the course of urhanlzatlon.The reason isIballhe concenlralbn orsndustrles wsuob重alnlhe‘乞concen-traied conomlc returns.” The concentration ofindustriesincities has occupied more land for indutrial use ifthe industri-al land use makes up a very low proportion in the total landuse In cities,the concentrated e门Dciency can not be broughtinto play.Ifthe Proportion is too big,land for other func-nons will be squeezed out,thus affecting the full play of theoverall functions of*theons urban land.The unreasonable indus-trial land used now exists in Chinese cities.