In this paper, we introduce an axiomatic definition of the similarity measure of intuitionistic fuzzy sets (IFS) that differs from the definition of Li [15]. The relationship between the similarity measure and the entropy of IFS is investigated in detail. Six theorems on how the similarity measure could be transformed into the entropy for IFS and vice versa are proposed based on their axiomatic...

Impact factors (IFs) are scores based on the frequency with which articles in a journal have been cited in other journals during a 2-year or 5-year period. Impact factors vary across disciplines and even within fields because of differences in citing behaviors, types of publications, and other factors. Nurses need to understand IFs and the implications for them as authors, particularly in light...

BACKGROUND Brain imaging studies using magnetic resonance imaging (MRI) sometimes reveal incidental findings (IFs) that might be relevant to some of the health issues in research participants. Although professional communities have discussed how to manage these IFs, there is no global consensus on the concrete handling procedures including how to inform participants of IFs. METHODS First, thi...

This paper considers the problem of extending the notion of an IFS with probabilities from the case of nitely many maps in the IFS to the case of innnitely many maps. We prove that under an average contractiv-ity condition the IFS is contractive in the Monge-Kantorovich metric. We also show that the invariant distribution is continuous with respect to the parameters of the IFS. Furthermore, usi...

All self-replicating lattice tilings of the plane can be constructed using special iterated function systems (IFS). Certain self-replicating curves can be constructed using the recurrent set method (RS). A bijection between the IFS parameters and the RS parameters is such that the curve K produced by the RS parameters is the boundary of the tile T produced by the IFS parameters. The corresponde...

This paper is in the form of an essay. It defines fractal tops and code space structures associated with set-attractors of hyperbolic iterated function systems (IFSs). The fractal top of an IFS is associated with a certain shift invariant subspace of code space, whence the entropy of the IFS, and of its set-attractor, may be defined. Given any ordered pair of hyperbolic IFSs, each with the same...

The technique of image compression using Iterative Function System (IFS) is known as fractal image compression. An extension of IFS theory is Partitioned or local Iterative Function System (PIFS) for coding the gray level images. Several techniques of PIFS based image compression have already been proposed by many researchers. The theory of PIFS appears to be different from the theory of IFS in...

Algebraic GIFS is a class of graph-directed iterated function systems (IFS) on R with algebraic parameters. A dual IFS of an algebraic GIFS can be constructed, and the duality between the two systems and has been investigated from various points of view. We review the results of dual IFS concerning the open set condition, purely periodic codings and the Rauzy-Thurston tilings, and their relatio...

Separate populations of microtubules (MTs) distinguishable by their level of posttranslationally modified tubulin subunits and by their stability in vivo have been described. In polarized 3T3 cells at the edge of an in vitro wound, we have found a striking preferential coalignment of vimentin intermediate filaments (IFs) with detyrosinated MTs (Glu MTs) rather than with the bulk of the MTs, whi...

Although several brief sensitive screening tools are available to detect cognitive dysfunction, few have been developed to quickly assess executive functioning (EF) per se. We designed a new brief tool to evaluate EF in neurodegenerative diseases. Patients with an established diagnosis of behavioral variant frontotemporal dementia (bvFTD; n = 22), Alzheimer disease (AD; n = 25), and controls (n...