Microenvironments that modulate fate commitments of mesenchymal stromal cells (MSCs) are composed of chemical and physical cues, but the latter ones are much less investigated. Here we demonstrate that intermittent fluid shear stress (IFSS), a potent and physiologically relevant mechanical stimulus, regulates osteogenic differentiation of MSCs through Transient receptor potential melastatin 7 (...

The aim of this paper is to continue the research work that we have done in a previous paper published in this journal see Mihail andMiculescu, 2008 . We introduce the notion of GIFS, which is a family of functions f1, . . . , fn : X → X, where X, d is a complete metric space in the above mentioned paper the case when X, d is a compact metric space was studied andm,n ∈ N. In case that the funct...

The Tchebychev distance on fuzzy sets (FSs) has been proposed to construct a measure of proximity between two modalities in two-dimensional statistical description. parameterized symmetric difference operations and cardinality for intuitionistic (IFSs) proposed. This paper extends set the possibility sets. More precisely, we firstly use IFSs propose IFSs. From these, then deduce examples metric...

An intuitionistic fuzzy set (IFS) is an extended version of a fuzzy set and is capable of representing hesitancy degrees. A framework for text classification is presented. Two main challenges are addressed: how to represent documents in terms of IFSs and how to obtain a pattern of each class from such an IFS-based representation. By using some existing similarity measures for IFSs, the proposed...

We propose a method for ranking alternatives represented by Atanassov’s intuitionistic fuzzy sets (A-IFSs) which takes into account not only the amount of information related to an alternative (expressed by a distance from the ideal positive alternative) but also the reliability of information (how sure the information is). We stress (like in our previous papers) that taking into account all th...

We discuss the properties of invariant measures corresponding to iterated function systems ~IFSs! with place-dependent probabilities and compute their Rényi entropies, generalized dimensions, and multifractal spectra. It is shown that with certain dynamical systems, one can associate the corresponding IFSs in such a way that their generalized entropies are equal. This provides a new method of c...

The correlation coefficient (Pearson’s r) is one of the most frequently used tools in statistics. In this paper we discuss a correlation coefficient between Atanassov’s intuitionistic fuzzy sets (A-IFSs). We have constructed the coefficient so it provides the strength of the relationship between A-IFSs and also shows if the considered sets are positively or negatively correlated. Next, the prop...

This paper addresses the issue of similarity measures of intuitionistic fuzzy sets (IFSs). Many measures of similarity between IFSs proposed before did not consider the abstention group influence, which may lead to counter-intuitive results in some cases. In this paper, first, we analyze the limitations of the existing similarity measures. Then, a new similarity measure of intuitionistic fuzzy ...

Let (X, {wj} m j=1, {pj} m j=1) (2 ≤ m < ∞) be a contractive iterated function system (IFS), where X is a compact subset of R. It is well known that there exists a unique nonempty compact set K such that K = ⋃m j=1 wj(K). Moreover, the Ruelle operator on C(K) determined by the IFS (X, {wj} m j=1, {pj} m j=1) (2 ≤ m < ∞) has been introduced in [FL]. In the present paper, the Ruelle operators det...