Bipolar fuzzy soft set theory, which is a very useful hybrid in decision making problems, mathematical model that has been emphasized especially recently. In this paper, the concepts of (α,β)-cuts, first type semi-strong second strong inverse semi-weak (α,β)-cuts and weak bipolar sets were introduced together with some their properties. addition, distinctive properties between established. More...

Since the inception of intuitionistic fuzzy sets in 1986, many authors have proposed different methods for ranking intuitionistic fuzzy numbers (IFNs). How ever, due to the complexity of the problem, a method which gives a satisfactory result to all situations is a challenging task. Most of them contained some shortcomings, such as requirement of complicated calculations, inconsistency with hum...

In this paper, the authors extend concept of a t-intuitionistic fuzzy set to PMS-subalgebras PMS-algebras. The define PMS-subalgebra PMS-algebra and show that any intuitionistic is PMS-subalgebra. provide condition for an in be use their (α,β) level cuts characterize PMS-algebra. investigate whether homomorphic images inverse are also PMS-subalgebras. Furthermore, nonempty again Finally, Cartes...

We present a framework for object segmentation using depth maps based on Random Forest and Graph-cuts theory, and apply it to the segmentation of human limbs. First, from a set of random depth features, Random Forest is used to infer a set of label probabilities for each data sample. This vector of probabilities is used as unary term in α − β swap Graph-cuts algorithm. Moreover, depth values of...

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In this paper we are concerned with cuts in models of Samuel Buss' theories of bounded arithmetic, i.e. theories like $S_{2}^i$ and $T_{2}^i$. In correspondence with polynomial induction, we consider a rather new notion of cut that we call p-cut. We also consider small cuts, i.e. cuts that are bounded above by a small element. We study the basic properties of p-cuts and small cuts. In particula...

The TGF-β superfamily is an ancient metazoan protein class which cuts across cell and tissue differentiation, developmental biology and immunology. Its many members are regulated at multiple levels from intricate control of gene transcription, post-translational processing and activation, and signaling through overlapping receptor structures and downstream intracellular messengers. We have been...

Hierarchical heterostructures of beta-iron oxyhydroxide (β-FeOOH) nanostructures on electrospun TiO2 nanofibers were synthesized by a facile hydrothermal method. This synthesis method proves to be versatile to tailoring of β-FeOOH structural design that cuts across zero-dimensional particles (TF-P), one-dimensional needles (TF-N) to two-dimensional flakes (TF-F). In addition, synthesizing such ...