Information systems are classified into two classes, namely complete information systems and incomplete information systems. A unified description has been proposed through the concrete analysis of information systems...
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ISBN:
(纸本)9783642148798
Information systems are classified into two classes, namely complete information systems and incomplete information systems. A unified description has been proposed through the concrete analysis of information systems. And based on this conclusion, a new method of decision making has been presented. The theoretical basis of the method is non-optimum theory, and thereby the non-optimum theory is further perfect by introduced the concepts of middle-optimum degree and unknown-optimum degree. Then the entropy of information systems is defined. Meanwhile, the concept of influence degree has also introduced. Finally, it discusses about three decision making principles, namely maximum influence degree principle, minimum risk principle and maximum risk principle.
Evaluation of digital library is an essential process in the library development. However, the digital library is a complex system, which needs a lot of indices included in the evaluation. Up to now, there is still no...
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ISBN:
(纸本)9783642148798
Evaluation of digital library is an essential process in the library development. However, the digital library is a complex system, which needs a lot of indices included in the evaluation. Up to now, there is still no scientific and rational comprehensive evaluation method developed, which become the urgent problem in the digital library evaluation. In this paper, a novel evaluation method is put forward based on the structured element of intuitionistic fuzzy multi-attribute decision-making, which can comprehensively assess the indices such as holdings, techniques, service and management. This method may promote the discovery of essential factors and their relationship, and benefit the improvement in every aspect to serve the readers better.
An approach to get the Nash equilibrium solution of fuzzy matrix game is proposed in this paper. At first, the solution of fuzzy coefficient linear programming is given based on the structured element expression of fu...
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ISBN:
(纸本)9783642148798
An approach to get the Nash equilibrium solution of fuzzy matrix game is proposed in this paper. At first, the solution of fuzzy coefficient linear programming is given based on the structured element expression of fuzzy number and the structured element weighted order. Then fuzzy coefficient linear programming is transformed into classical linear programming by using the homeomorphism property between fuzzy number space and the family of standard monotone functions in [-1, 1], which simplifies the solving process of fuzzy Nash equilibrium. Finally, an example is presented to compare the method we proposed with other methods, from which a conclusion may be drawn that the method we proposed is of more validity and practicability.
In this paper, fuzzy polynomial equation and system of fuzzy polynomial equations are defined. The system of fuzzy polynomial equations is investigated based on the fuzzy structured element. The method transforming th...
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ISBN:
(纸本)9783642148798
In this paper, fuzzy polynomial equation and system of fuzzy polynomial equations are defined. The system of fuzzy polynomial equations is investigated based on the fuzzy structured element. The method transforming the system of fuzzy polynomial equations into the parametric equations is proposed. We prove the rationality of this theory and give the necessary and sufficient condition for a fuzzy solution existence, in addition, a numerical example is showed.
In this paper, the notion of strong omega-compactness is introduced in L omega-spaces by means of open beta(a)-omega-cover and strong open beta(a)-omega-cover. It is proved that the intersection of a strongly omega-co...
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ISBN:
(纸本)9783642148798
In this paper, the notion of strong omega-compactness is introduced in L omega-spaces by means of open beta(a)-omega-cover and strong open beta(a)-omega-cover. It is proved that the intersection of a strongly omega-compact L-set and a omega-closed set is strongly omega-compact, that strong omega-compactness is preserved by continuously generalized Zadeh funtions. Under the condition that beta(a boolean AND b) = beta(a) boolean AND beta(b), for any a, b is an element of L, the Tychonoff Theorem for strong omega-compactness is true.
The super-efficiency DEA model resolves the ranking problem effectively, which is received much concern. The super-efficiency DEA model is built in this paper, in which inputs and outputs are both fuzzy numbers. The f...
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ISBN:
(纸本)9783642148798
The super-efficiency DEA model resolves the ranking problem effectively, which is received much concern. The super-efficiency DEA model is built in this paper, in which inputs and outputs are both fuzzy numbers. The fuzzy super-efficiency DEA model is turned into a classical super-efficiency DEA model according to the structured element-based weighted ordering rules, expanded the scope of use of super-efficiency DEA model. Finally, an example is given to illustrate it.
We first introduced the concepts of (lambda, mu)-fuzzy sublattices and (lambda, mu)-fuzzy ideals of a lattice and listed some properties of them. Then we studied (lambda, mu)-fuzzy sublattices and (lambda, mu)-fuzzy i...
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ISBN:
(纸本)9783642148798
We first introduced the concepts of (lambda, mu)-fuzzy sublattices and (lambda, mu)-fuzzy ideals of a lattice and listed some properties of them. Then we studied (lambda, mu)-fuzzy sublattices and (lambda, mu)-fuzzy ideals of complemented lattices. Lastly, we researched (lambda, mu)-fuzzy subhyperlattices and (lambda, mu)-fuzzy ideals of hyperlattices.
In this paper, we research the impulsive delay predator-prey system with stage structure;we consider two species predator-prey model with stage structure for prey and impulsive effect for predator. By some techniques ...
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ISBN:
(纸本)9783642148798
In this paper, we research the impulsive delay predator-prey system with stage structure;we consider two species predator-prey model with stage structure for prey and impulsive effect for predator. By some techniques of comparison theorems of impulsive differential equations, we obtain the conditions for global asymptotic stability of periodic solution of this system.
According to the modeling of chemical grey box, the Fast Global Fuzzy C-Means Clustering algorithm (FGFC), is used to getting effective training data of modeling. The algorithm is based on the Fuzzy C-means algorithm,...
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ISBN:
(纸本)9783642148798
According to the modeling of chemical grey box, the Fast Global Fuzzy C-Means Clustering algorithm (FGFC), is used to getting effective training data of modeling. The algorithm is based on the Fuzzy C-means algorithm, It doesn't dependent on initial conditions, and at the same time improve the accuracy of the clustering. Experiments show that the FGFCM algorithm's data improved the performance of predicting time and data accuracy, this algorithm was proved to be efficient by computer simulation.
The combination of interval valued vague sets and rough sets is developed in this paper. The lower and upper approximation operators of an interval valued vague set are constructed, which are partitioned by an indisce...
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ISBN:
(纸本)9783642148798
The combination of interval valued vague sets and rough sets is developed in this paper. The lower and upper approximation operators of an interval valued vague set are constructed, which are partitioned by an indiscernibility relation in Pawlak approximation space. Further properties associated with the lower and upper approximations of interval valued vague sets are examined. Finally, the roughness measure of an interval valued vague set is presented as an extension of the parameterized roughness measure of a vague set. Meantime, the related properties with respect to roughness measure are established and analyzed.
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