In this paper, the properties of lattice H implication algebra are researched, some equivalent conditions about lattice H implication algebra are given, and the proper class problems and the cardinal problems of lattice implication algebra are discussed.

In this paper we propose a new method for training classifiers for multi-class problems when classes are not (necessarily) mutually exclusive and may be related by means of a probabilistic tree structure.

The resulting two-class problems are often very unbalanced, leading in some cases to poor performance.

For the k >amp;gt; 2-class problems, the SVM method as originally proposed required the construction of a two-class SVM to separate each class from the remaining classes.

An ensemble-based method for linear feature extraction for two-class problems

The support vector machine (SVM) has a high generalisation ability to solve binary classification problems, but its extension to multi-class problems is still an ongoing research issue.

In the paper,we define the associative BCI-algebras with operation ∧,and prove that its BCK-part is commutative BCK-algebra.The following problems are solved:proper class problem,proper subclass problem and cardinal number problem.

The current situation and the history of two-fare-class seat inventory control problem for the airline yield management in air transportation of the passengers are first overviewed. Then a new marginal analytical method determining the optimal allotment for two-class problem is presented, with an emphasis on the theoretical aspects of the problem as compared with the traditional formulae. Based on the fact that the passengers' demand number is a discrete random variable the formula deduction...

The current situation and the history of two-fare-class seat inventory control problem for the airline yield management in air transportation of the passengers are first overviewed. Then a new marginal analytical method determining the optimal allotment for two-class problem is presented, with an emphasis on the theoretical aspects of the problem as compared with the traditional formulae. Based on the fact that the passengers' demand number is a discrete random variable the formula deduction is demonstrated in detail. The formula obtained in this paper which shows that the optimal seat allotment relates to the distributions of both high-fare demand and low-fare one has made the important corrections for the traditional formulae in this field. Contrasting the formula deduced in the paper with the traditional formulae it can be shown by the results of the computational example with the new formula that the method is more accurate and practical.

The paper expounds that the fault signture extraction plays an important role in the fault diagnosis of electric machine- It presents the noise cancellation method which is based on the optimization theory, and the pattern classification method for diagnosing the airgap eccentricity of induction motor- The later makes the identification of electric machine rotor eccentricity be a "two class problem"- The examples in the paper show that some faults diagnosis of electric machine could be improved with two...

The paper expounds that the fault signture extraction plays an important role in the fault diagnosis of electric machine- It presents the noise cancellation method which is based on the optimization theory, and the pattern classification method for diagnosing the airgap eccentricity of induction motor- The later makes the identification of electric machine rotor eccentricity be a "two class problem"- The examples in the paper show that some faults diagnosis of electric machine could be improved with two presented approaches