Iterated Function Systems (IFSs) were born in mid eighties (see Hutchinson, 1981; Barnsley and Demko, 1985) as applications of the theory of discrete dynamical systems and as useful tools to build fractals and other similar sets. Some possible applications of IFSs can be found in image processing theory (see e.g., Forte and Vrscay, 1994), in the theory of stochastic growth models and in the the...

This paper addresses four new distance measures as tools in pattern recognition for intuitionistic fuzzy sets (IFSs). Following the discussion on literature of distance measures, proposed measurement scales and the proof of their properties would be presented. In order to show the reliability of addressed formulations, this paper employs them in a part of medical diagnosis progress in bacillus ...

The present study introduces a decision-making approach with the combined compromise solution (CoCoSo) under intuitionistic fuzzy sets (IFSs) named as IF-CoCoSo method based on proposed divergence measures and score function. aim of presented is to obtain an effective for multi-criteria problems IFSs context. In this line, new procedure derive criteria weights using generalized function paramet...

Abstract This is the second part of our study on dimension theory $C^1$ iterated function systems (IFSs) and repellers $\mathbb {R}^d$ . In first [D.-J. Feng K. Simon. Dimension estimates for repellers. Part I. Preprint , 2020, arXiv:2007.15320], we proved that upper box-counting attractor every IFS ${\Bbb R}^d$ bounded above by its singularity dimension, packing ergodic invariant measure assoc...

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...

A series of alkene bearing small molecules were electrografted to the surface carbon fibers using in situ generation aryldiazonium salts. These used as an anchoring point for use Ring Opening Metathesis Polymerization (ROMP) a ‘graft from’ approach fiber modification. After modification, evaluation these modified epoxy resin, single fragmentation test, showed significant increases interfacial s...

To achieve the goal of mass production modification technology, CNTs will be rapidly dispersed in gas phase and then sprayed onto industrial CF surface containing sizing agents, This increase Interface shear strength (IFSS) from 26 MPa before processing to 35 maximum (an about 33.9 %). Since agent has an embedding function for CNTs, three types adhering are formed. They complete embedded type (...

R.ecently, highly automated nuclear facilities with enormous volumes of nuclear material accounting data have come into operation. A few others will become operational shortly. Analysis and verification of the data for safeguards purposes is manageable only with improved computer support in the field. To assist its safeguards inspectors, the IAEA has developed the Inspection Field Support Syste...