jahanshahloo has suggested a method for the solving linear programming problems with zero-one variables‎. ‎in this paper we formulate fully fuzzy linear programming problems with zero-one variables and a method for solving these problems is presented using the ranking function and also the branch and bound method along with an example is presented.

Abstract An analysis of the linear waves in infinitely-long square and triangular lattice strips of identical particles with nearest neighbor-interactions for all combinations of fixed and free boundary conditions, as well as the periodic boundary, is presented. The expressions for the dispersion relations and the associated normal modes in these waveguides are provided in the paper; some of wh...

This paper demonstrates the possibility of efficient adiabatic nano-focusing of plasmons by a sharp triangular metal wedge. Geometrical optics approach and the approximation of continuous electrodynamics are used for the analysis. In particular, it is demonstrated that both the phase and group velocities of an incident anti-symmetric (with respect to the magnetic field) plasmon tend to zero at ...

We report the growth of high-quality triangular GaN nanomesas, 30-nm thick, on the C-face of 4H-SiC using nano selective area growth (NSAG) with patterned epitaxial graphene grown on SiC as an embedded mask. NSAG alleviates the problems of defective crystals in the heteroepitaxial growth of nitrides, and the high mobility graphene film can readily provide the back low-dissipative electrode in G...

Fabrication of advanced artificial nanomaterials is a long-term pursuit to fulfill the promises of nanomaterials and it is of utter importance to manipulate materials at nanoscale to meet urgent demands of nanostructures with designed properties. Herein, we demonstrate the morphological tailoring of self-assembled nanostructures on faceted GaAs nanowires (NWs). The NWs are deposited on differen...

For little q-Jacobi polynomials, q-Hahn polynomials and big q-Jacobi polynomials we give particular q-hypergeometric series representations in which the termwise q = 0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as decompositions into a lower triangular matrix times upper triangular matrix. We develop a general theory of such decompositions rela...

Deterministic Aperiodic (DA) arrays of gold (Au) nanoparticles are proposed as a novel approach for the engineering of reproducible surface enhanced Raman scattering (SERS) substrates. A set of DA and periodic arrays of cylindrical and triangular Au nanoparticles with diameters ranging between 50-110 nm and inter-particle separations between 25-100 nm were fabricated by e-beam lithography on qu...

The twin distribution in topological insulators Bi2Te3 and Bi2Se3 was imaged by electron backscatter diffraction (EBSD) and scanning X-ray diffraction microscopy (SXRM). The crystal orientation at the surface, determined by EBSD, is correlated with the surface topography, which shows triangular pyramidal features with edges oriented in two different orientations rotated in the surface plane by ...

A number of devices in MEMS introduce frictional contacts between moving surfaces, resulting in particle generation. In this paper, we explore the nano-scale abrasion characteristics of four materials that are commonly encountered in MEMS devices and packages: aluminum (Al), silicon (Si), Pyrex glass, and glass-mica ceramic (Macor). A commercial scribing tool has been adapted to provide control...

Electron beam lithography (EBL) has become a popular means to prepare a wide variety of nano-arrays for numerous studies and applications, including photonics and sensors. Their fabrications and characterizations are costly and time consuming, underscoring the importance of developing effective tools to rapidly study their physicochemical stabilities and properties over time. In this study, we ...