an ideal i of a ring r is called right baer-ideal if there exists an idempotent e 2 r such that r(i) = er. we know that r is quasi-baer if every ideal of r is a right baer-ideal, r is n-generalized right quasi-baer if for each i e r the ideal in is right baer-ideal, and r is right principaly quasi-baer if every principal right ideal of r is a right baer-ideal. therefore the concept of baer idea...

In the actual analysis of grey clustering evaluation, the length of a grey clustering interval was partially longer, which is determined by the grey clustering evaluation method based on the center-point triangular whitenization weight function. In response to problems like this, this paper proposes a new grey evaluation method on the basis of the reformative triangular whitenization weight fun...

In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.

The similarity of triangular fuzzy numbers is an important metric for application of it. There exist several approaches to measure similarity of triangular fuzzy numbers. However, some of them are opt to be large. To make the similarity well distributed, a new method SIAM (Shape's Indifferent Area and Midpoint) to measure triangular fuzzy number is put forward, which takes the shape's indiffere...

In this paper we introduce the triangular heap, a heap with the special property that for every father node its right child (if present) is smaller than its left child. We show how triangular heaps can be applied to the traditional problem of sorting an array in situ in ways quite similar to well-known methods using ordinary heaps. An average case analysis is presented for the construction and ...

Triangular surfaces are important because in areas where the geometry is not similar to rectangular domain, the rectangular surface patch will collapse into a triangular patch. In such a case, one boundary edge may collapse into a boundary vertex of the patch, giving rise to geometric dissimilarities (e.g. shape parameters, Gaussian curvature distribution, cross boundary continuities etc.) and ...