In the paper,using the method of scalar assignment,we study upper semicontinuity of the general additive solution in infinite dimensional normed spaces by substitute the bounded linear functional in the infinite dimensional vector space for weight in common sense.

Generalization of a class of iterative means in generalized weighting;

On the weighted generalized inverses for a Boolean matrix;

On the recursive computing formulae of generalized inverse and weighted generalized inverse;

A unified approach for the recursive computation of weighted generalized inverses;

Based on the general weighted length, combined with the level characteristic value, a new method is put forward to evaluate the environmental noise of railway with fuzzy.

By using the generalized Menger metric embedding theory, we extended the definition of the generalized metric addition which two groups of two dead synclastic simplexes, the definition is introduced of the generalized weighted metric addition which finite groups of two dead synclastic simplexes.

According to fuzzy idealsolutionand generalized weighted distance, the group consistence and group inconsistence aredefined, and the fuzzy multiple attribute decision-making model on the trapezoid fuzzy number is established.