We generalize min-neighborhood groups to arbitrary T -neighborhood groups, where T is a continuous triangular norm. In particular, we point out that our results accommodate the previous theory on min-neighborhood groups due to T. M. G. Ahsanullah. We show that every T -neighborhood group is T -uniformizable, therefore, T -completely regular. We also present several results of T -neighborhood gr...

We consider a multigrid algorithm for the cell centered di€erence scheme on triangular meshes using a new prolongation operator. The energy norm of this prolongation is shown to be less than  2 p . Thus the W-cycle is guaranteed to converge. Numerical experiments show that our operator is better than the trivial injection. Ó 1999 Elsevier Science Inc. All rights reserved. AMS classi®cation: ...

This paper deals with interval-valued fuzzy sets and I-fuzzy sets, Atanassov's intuitionistic fuzzy sets. They are treated in a systematic way as two, formally equivalent, natural extensions of methods of representing incomplete knowledge about sets. We define and investigate triangular norm-based areas of uncertainty of interval-valued fuzzy sets and I-fuzzy sets, and study some properties of ...

A family of conforming mixed finite elements with mass lumping on triangular grids are presented for linear elasticity. The stress field is approximated by symmetric $H({\rm div})-P_k (k\geq 3)$ polynomial tensors enriched higher order bubbles so as to allow lumping, which can be viewed the Hu-Zhang interior bubble functions. displacement $C^{-1}-P_{k-1}$ vectors terms ensure stability conditio...

In this paper, we proposed an image inpainting algorithm, including interpolation step and a non-local tensor completion based on weighted nuclear norm. Specifically, the algorithm adopts triangular linear firstly to preform observation image. Second, extract similar patches in using patch match rearrange them tensor. Then, use norm recover tensors. Finally, regroup all these recovered tensors ...

The paper continues the study of recently introduced class SDD1 matrices. general matrices and its three subclasses are considered. In particular, it is shown that nonsingular ℌ-matrices. Also parameter-free upper bounds for l∞-norm inverses to derived. block triangular form which any matrix can be brought by a symmetric permutation rows columns described.

In the literature on social choice with fuzzy preferences, a central question is how to represent the transitivity of a fuzzy binary relation. Arguably the most general way of doing this is to assume a form of transitivity called max-star transitivity. The star operator in this formulation is commonly taken to be a triangular norm. The familiar max-min transitivity condition is a member of this...