The aim of this paper is to introduce and investigate α∗-uniformity on a nonempty set X using α∗-covers of X in L-fuzzy set theory. Equivalent conditions for α∗-uniformity and basis to α∗-uniformity, respectively, are obtained. The topology generated by α∗-uniformity, called α∗-topology, is also given. Various examples of α∗-uniformity on X are given and the α∗-topology induced by them are also...

We demonstrate how order-theoretic abstractions can be useful in identifying , formalizing, and exploiting relationships between seemingly dissimilar AI algorithms that perform computations on partially-ordered sets. In particular, we show how the order-theoretic concept of an anti-chain can be used to provide an eecient representation for such sets when they satisfy certain special properties....

Structure tensors are a common tool for orientation estimation in image processing and computer vision. We present a generalization of the traditional second-order model to a higher-order structure tensor (HOST), which is able to model more than one significant orientation, as found in corners, junctions, and multi-channel images. We provide a theoretical analysis and a number of mathematical t...

in this paper we define an order structure on the $p$-operator projective tensor product of herz algebras and we show that the canonical isometric isomorphism between $a_p(gtimes h)$ and $a_p(g)widehat{otimes}^p a_p(h)$ is an order isomorphism for amenable groups $g$ and $h$.