The Arrow index of a fuzzy choice function C is a measure of the degree to which C satisfies the Fuzzy Arrow Axiom, a fuzzy version of the classical Arrow Axiom. The main result of this paper shows that A(C) characterizes the degree to which C is full rational. We also obtain a method for computing A(C). The Arrow index allows to rank the fuzzy choice functions with respect to their rationality...

In ancient India arrow injury was prevalent as it was a one of the most frequently used weapon. With passage of time use of bow and arrow became restricted to tribal area and its use became limited mostly to hunting. But in the recent years with progressively increasing terrorist activity in some areas arrow injuries are becoming more and more frequent. Effect of injury depends not only on the ...

It is well known that an equilibrium in the Arrow-Debreu model may fail to exist if a very restrictive condition called the survival assumption is not satis ed. We study two approaches that allow for the relaxation of this condition. Danilov and Sotskov (1980), and Florig (1998a) developed a concept of a generalized equilibrium based on a notion of hierarchic prices. Marakulin (1988, 1990) prop...

Arbitrary Arrow Update Logic with Common Knowledge (AAULC) is a dynamic epistemic logic with (i) an arrow update operator, which represents a particular type of information change and (ii) an arbitrary arrow update operator, which quantifies over arrow updates. By encoding the execution of a Turing machine in AAULC, we show that neither the valid formulas nor the satisfiable formulas of AAULC a...

Fig. 1. (a) Contrast-enhanced axial computed tomography image at the level of the PA bifurcation demonstrating the dissection flap within the main PA (arrow). (b) Three-dimensional reconstruction of the computed tomography images demonstrating the dissection flap within the main PA (arrow). (c) Intraoperative trans-oesophageal echocardiography showing the main PA with a 5.18 cm diameter and a d...

Overview This contribution gives a short introduction to arrow logic We start by explaining the basic idea underlying arrow logic and the motivation for studying it sections and We discuss some elementary duality theory between arrow logic and the algebraic theory of binary relations section In the sections and we give a brief survey of the theory that has been developed on the semantics de nab...

772 Fig. 1(a). Preoperative X-ray knee anteroposterior view showing stippled calcification in loose bodies (arrow). 1(b). Preoperative X-ray knee lateral view showing stippled calcification in loose bodies (arrow). Fig. 2(a). Preoperative MRI scan T1 weighted image (sagittal cut) showing low to intermediate signal nodular mass (arrow). (b). Preoperative MRI scan T2 weighted image (sagittal cut)...

Virulence of Newcastle disease virus (NDV) is mainly determined by the amino acid sequence of the fusion (F0) protein cleavage site. Full-length NDV cDNA clone pNDFL was used to generate infectious NDV with defined mutations in the F0 cleavage site (RRQRR downward arrow L, GRQGR downward arrow F, RRQGR downward arrow F, RGQRR downward arrow F and RKQKR downward arrow F). All the mutants were vi...

T1 coronal images show homogenous hyperintense lesion involving the right trigeminal nerve root (white arrows) in A and B and Meckel’s cave (white arrow) in C as compared to normal left trigeminal nerve (black arrows) and Meckel’s cave (yellow arrow). Axial T1 image also demonstrates the involvement ofmandibular division in foramen ovale (white arrow) as compared to normal on left side (orange ...

We studied numerically the validity of the fluctuation relation introduced in Evans et al. [Phys. Rev. Lett. 71, 2401-2404 (1993)] and proved under suitable conditions by Gallavotti and Cohen [J. Stat. Phys. 80, 931-970 (1995)] for a two-dimensional system of particles maintained in a steady shear flow by Maxwell demon boundary conditions [Chernov and Lebowitz, J. Stat. Phys. 86, 953-990 (1997)...