We introduce the notion of weakly hyperbolic iterated function system (IFS) on a compact metric space, which generalises that of hyperbolic IFS. Based on a domain-theoretic model, which uses the Plotkin power domain and the probabilistic power domain respectively, we prove the existence and uniqueness of the attractor of a weakly hyperbolic IFS and the invariant measure of a weakly hyperbolic I...

We develop a new approach to the computation of the Hausdorff dimension of the invariant set of an iterated function system or IFS. In the one dimensional case that we consider here, our methods require only C3 regularity of the maps in the IFS. The key idea, which has been known in varying degrees of generality for many years, is to associate to the IFS a parametrized family of positive, linea...

During mitosis, several types of intermediate-sized filaments (IFs) undergo an extensive remodelling in response to phosphorylation by cdc 2 and other protein kinases. However, unlike the nuclear lamins, the cytoplasmic IFs do not seem to follow a fixed disassembly stereotype and often retain their physical continuity without depolymerizing into soluble subunits. To investigate potential intera...

The most popular \fractal-based" algorithms for both the representation as well as compression of computer images have involved some implementation of the method of Iterated Function Systems (IFS) on complete metric spaces, e.g. IFS with probabilities (IFSP), Iterated Fuzzy Set Systems (IFZS), Fractal Transforms (FT), the Bath Fractal Transform (BFT) and IFS with grey-level maps (IFSM). (FT and...

Thread cell differentiation in the slime gland of the Pacific hagfish Eptatretus stouti has been studied using light microscopy and scanning and transmission electron microscopy. Thread cell differentiation is remarkable in that the life history of the cell is largely dedicated to the production of a single, tapered, cylindrical, highly coiled, and precisely packaged cytoplasmic thread that may...

An iterated function system crossover (IFSX) operation for real-coded genetic algorithms (RCGAs) is presented in this paper. Iterated function system (IFS) is one type of fractals that maintains a similarity characteristic. By introducing the IFS into the crossover operation, the RCGA performs better searching solution with a faster convergence in a set of benchmark test functions.

The (α, β) cut of an Intuitionistic Fuzzy Set (IFS) was studied by P. K. Sharma [4]. In this paper we introduce a new type of cut strong (α, β) cut of IFS and study their properties. Also three decomposition theorems are discussed.

In this paper we study the absolute continuity of self-similar measures defined by iterated function systems (IFS) whose contraction ratios are not uniform. We introduce a transversality condition for a multi-parameter family of IFS and study the absolute continuity of the corresponding self-similar measures. Our study is a natural extension of the study of Bernoulli convolutions by Solomyak, P...

In this paper the results of a research aimed at showing that IFS-based representations capture image discriminant information are presented. One of the most appealing characteristics of IFS-based representations is that they are suitable to be used jointly with adaptive classifiers, which allow the classification knowledge extraction process to be made automatic.

Machines and technology have been known for saving the efforts so time of human race. Thus in gravity consideration to this point, companies are required innovate their process practices improve productivity. The present research was conducted at ABC manufacturing company having three departments i.e. A, B, C. significant impact after ERP implementation terms time-saving has reflected research....