fuzzy relation inequalities based on max-f composition are discussed, where f is a binary aggregation on [0,1]. for a fixed fuzzy relation inequalities system $ a circ^{f}textbf{x}leqtextbf{b}$, we characterize all matrices $ a^{'} $ for which the solution set of the system $ a^{' } circ^{f}textbf{x}leqtextbf{b}$ is the same as the original solution set. similarly, for a fixed matrix ...

Translation invariant (TI) single wavelet de-noising was developed by Coifman and Donoho and they show that TI is better than non-TI single wavelet de-noising. On the other hand, Strela et al. have found that non-TI multiwavelet de-noising gives better results than non-TI single wavelets. In this paper we extend Coifman and Donoho's TI single wavelet de-noising scheme to multiwavelets. Experime...

This paper describes an approach to evolving texture feature extraction programs using tree based genetic programming. The programs are evolved from a learning set of 13 textures selected from the Brodatz database. In the evolutionary phase, texture images are first "binarised" to 256 grey levels. An encoding of the positions of the black pixels is used as the input to the evolved programs. A s...

a new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. we use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. then, we linearized this identified model at each sampling time to have an approximate linear time varying system. in order to stabilize...

We compare tiling systems with square-like tiles and classical lattice-gas models with translation-invariant, finite-range interactions between particles. For a given tiling, there is a natural construction of a corresponding lattice-gas model. With oneto-one correspondence between particles and tiles, we simply assign a positive energy to pairs of nearest-neighbor particles which do not match ...

Alexander Heifetz John T. Shen Jong-Kwon Lee Renu Tripathi M. S. Shahriar Northwestern University Department of Electrical and Computer Engineering Evanston, Illinois 60208 Abstract. We demonstrate a translation-invariant VanderLugt correlator VLC for a set of images stored via holographic angle multiplexing of volume gratings in a polymeric substrate. The images read out from the volume gratin...

The northeast model is a spin system on the two-dimensional integer lattice that evolves according to the following rule: Whenever a site’s southerly and westerly nearest neighbors have spin 1, it may reset its own spin by tossing a p−coin; at all other times, its spin remains frozen. It is proved that the northeast model has a phase transition at pc = 1 − βc, where βc is the critical parameter...

We investigate the properties of non-translation-invariant measures, describing particle systems on Z, which are asymptotic to different translation invariant measures on the left and on the right. Often the structure of the transition region can only be observed from a point of view which is random—in particular, configuration dependent. Two such measures will be called shift equivalent if the...

Notions of k-asimulation and asimulation are introduced as asymmetric counterparts to k-bisimulation and bisimulation, respectively. It is proved that a first-order formula is equivalent to a standard translation of an intuitionistic propositional formula iff it is invariant with respect to k-asimulations for some k, and then that a first-order formula is equivalent to a standard translation of...

In this paper, the author investigates the scaling limit of a partial difference equation on the d dimensional integer lattice Zd, corresponding to a translation invariant random walk perturbed by a random vector field. In the case when the translation invariant walk scales to a Cauchy process he proves convergence to an effective equation on Rd. The effective equation corresponds to a Cauchy p...