We studied multiple attribute decision-making problems with uncertain linguistic information, in which the preference values took the form of uncertain linguistic variables. We introduced some operational laws of unce...We studied multiple attribute decision-making problems with uncertain linguistic information, in which the preference values took the form of uncertain linguistic variables. We introduced some operational laws of uncertain linguistic variables and a formula for the comparison between two uncertain linguistic variables. We proposed two new aggregation operators called extended uncertain linguistic aggregation (EULA) operator and interval linguistic aggregation (ILA) operator, and then develop an EULA operator-based linguistic approach and an ILA operator-based linguistic approach, respectively, to multiple attribute decision making in uncertain linguistic setting. The approaches were straightforward and do not produce any loss of information. Finally, an illustrative example was given to verify the developed approaches and to demonstrate their practicality and effectiveness.展开更多
By applying the aggregation operator γ-operator and introducing a new method for global data contribution, the problems of information loss and the decrease of running efficiency in FuzzyJ Toolkit, an expert system s...By applying the aggregation operator γ-operator and introducing a new method for global data contribution, the problems of information loss and the decrease of running efficiency in FuzzyJ Toolkit, an expert system shell, can be effectively solved. The example shows that the approach can overcome imprecision of max-operator and min-operator used during the process of fuzzy reasoning. Therefore, the information accuracy and the system performance can be effectively improved, which promotes the usability of FuzzyJ Toolkit.展开更多
The gait of the biped robot is described using six parameters such as stature,velocity,length of the step,etc.The algorithm of the Newton-Euler is actualized by object-oriented idea,and then the zero moment point (ZMP...The gait of the biped robot is described using six parameters such as stature,velocity,length of the step,etc.The algorithm of the Newton-Euler is actualized by object-oriented idea,and then the zero moment point (ZMP) of the dynamically walking biped is calculated.Finally,the gait of biped is optimized using gene algorithm,and the optimized result prove the correctness of the algorithm.展开更多
In this paper,we characterize the multipliers of generalized Bergman spaces A^p,q,α with 0<p≤1, 0<q, α<∞into some analytic function spaces and into sequence spaces,and show that the multipliers of A^p,q,...In this paper,we characterize the multipliers of generalized Bergman spaces A^p,q,α with 0<p≤1, 0<q, α<∞into some analytic function spaces and into sequence spaces,and show that the multipliers of A^p,q,α(0<p≤1,0<q, α<∞) into a given space are the same as those of A^p,α(0<p≤1, α>0) in almost every case considered. The corollaries on multipliers of the spaces A^p,q,α extend some related results.展开更多
This article is not inspired by any religion or quantum many-worlds interpretation. The mathematics of multiverse is presented here. The mass operator was introduced earlier by Alnobani. This operator is used here to ...This article is not inspired by any religion or quantum many-worlds interpretation. The mathematics of multiverse is presented here. The mass operator was introduced earlier by Alnobani. This operator is used here to deduce the time state. It is found that time has four states and those four states are orthogonal. Time is the constitution of any verse. Time has direction. Every orthogonal direction of time belongs to a verse. Past and future belong to opposite directions of time and they are arbitrary. Other verses are there by their own and not a probabilities of any other verse and if any similarity it is only a coincidence. Among applications of this thesis is travelling through groups of galaxies, or more or less.展开更多
This paper is a continuation of the paper [16]. Namely, in [16] we have introduced, among others, the definition of the N atomic entailment and we have constructed the system S, which is based on the atomic entailmen...This paper is a continuation of the paper [16]. Namely, in [16] we have introduced, among others, the definition of the N atomic entailment and we have constructed the system S, which is based on the atomic entailment. In this paper we show that the classical Arithmetic can be based on the Atomic Logic (see [17]).展开更多
The purpose of this paper is to derive the inequalities in connection with PostWidder operators, the result is corresponding to Wickeren in connection with Bernstein polynomials.
文摘We studied multiple attribute decision-making problems with uncertain linguistic information, in which the preference values took the form of uncertain linguistic variables. We introduced some operational laws of uncertain linguistic variables and a formula for the comparison between two uncertain linguistic variables. We proposed two new aggregation operators called extended uncertain linguistic aggregation (EULA) operator and interval linguistic aggregation (ILA) operator, and then develop an EULA operator-based linguistic approach and an ILA operator-based linguistic approach, respectively, to multiple attribute decision making in uncertain linguistic setting. The approaches were straightforward and do not produce any loss of information. Finally, an illustrative example was given to verify the developed approaches and to demonstrate their practicality and effectiveness.
基金Supported by the National Natural Science Foundation of China under Grant No.60672121(国家自然科学基金)the National High Tech Research and Development Plan of China under Grant No.2006AA01Z164(国家高技术研究发展计划(863))+2 种基金the National Basic Research Program of China under Grant No.2003CB314806(国家重点基础研究发展计划(973))the Program for Changjiang Scholars and Innovative Research Team in University of China under Grant No.IRT0410(长江学者和创新团队发展计划资助项目)the Beijing Education Committee Collaboration Science Program of China(北京市共建项目)
文摘By applying the aggregation operator γ-operator and introducing a new method for global data contribution, the problems of information loss and the decrease of running efficiency in FuzzyJ Toolkit, an expert system shell, can be effectively solved. The example shows that the approach can overcome imprecision of max-operator and min-operator used during the process of fuzzy reasoning. Therefore, the information accuracy and the system performance can be effectively improved, which promotes the usability of FuzzyJ Toolkit.
文摘The gait of the biped robot is described using six parameters such as stature,velocity,length of the step,etc.The algorithm of the Newton-Euler is actualized by object-oriented idea,and then the zero moment point (ZMP) of the dynamically walking biped is calculated.Finally,the gait of biped is optimized using gene algorithm,and the optimized result prove the correctness of the algorithm.
文摘In this paper,we characterize the multipliers of generalized Bergman spaces A^p,q,α with 0<p≤1, 0<q, α<∞into some analytic function spaces and into sequence spaces,and show that the multipliers of A^p,q,α(0<p≤1,0<q, α<∞) into a given space are the same as those of A^p,α(0<p≤1, α>0) in almost every case considered. The corollaries on multipliers of the spaces A^p,q,α extend some related results.
文摘This article is not inspired by any religion or quantum many-worlds interpretation. The mathematics of multiverse is presented here. The mass operator was introduced earlier by Alnobani. This operator is used here to deduce the time state. It is found that time has four states and those four states are orthogonal. Time is the constitution of any verse. Time has direction. Every orthogonal direction of time belongs to a verse. Past and future belong to opposite directions of time and they are arbitrary. Other verses are there by their own and not a probabilities of any other verse and if any similarity it is only a coincidence. Among applications of this thesis is travelling through groups of galaxies, or more or less.
文摘This paper is a continuation of the paper [16]. Namely, in [16] we have introduced, among others, the definition of the N atomic entailment and we have constructed the system S, which is based on the atomic entailment. In this paper we show that the classical Arithmetic can be based on the Atomic Logic (see [17]).
基金Supported by the Natural Science Foundation of Hebei Province(101090)Supported by the Natural Science Foundation of China(19901007)
文摘The purpose of this paper is to derive the inequalities in connection with PostWidder operators, the result is corresponding to Wickeren in connection with Bernstein polynomials.