many ranking methods have been proposed so far. however, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. for overcoming the above problems, we propose a new method for ranking fuzzy quantities based on ...

Polarized Raman and optical spectra for the quasi-one dimensional metallic vanadate β−Na0.33V2O5 are reported for various temperatures. The spectra are discussed in the light of the sodium and charge ordering transitions occurring in this material, and demonstrate the presence of strong electron-phonon coupling.

Article history: Received 1 July 2008 Received in revised form 17 October 2008 Accepted 2 November 2008 Available online 6 November 2008

We have developed a direct mask modification method applicable in hole-mask nanostructure fabrication. It is demonstrated that by using this technique the size, material, relative location and ordering of individual subunits can be controlled and varied independently to generate hetero-assemblies of nanostructures including chiral structures over large areas.

We study faster algorithms for producing the minimum degree ordering used to speed up Gaussian elimination. This ordering is based on viewing the non-zero elements of a symmetric positive definite matrix as edges of an undirected graph, and aims at reducing the additional non-zeros (fill) in the matrix by repeatedly removing the vertex of minimum degree. It is one of the most widely used primit...

‎we consider nonconvex vector optimization problems with variable ordering structures in banach spaces‎. ‎under certain boundedness and continuity properties we present necessary conditions for approximate solutions of these problems‎. ‎using a generic approach to subdifferentials we derive necessary conditions for approximate minimizers and approximately minimal solutions of vector optimizatio...

We have found that the specific capacity of a Li-intercalated metal-organic framework (iMOF) electrode material, 2,6-naphthalene dicarboxylate dilithium, can be increased by narrowing the distance between naphthalene layers via ordering. The increase in specific capacity can be attributed to formation of more efficient electron and ion pathways in the framework.

Aromatic substitution of 1-fluoro-2,4-dinitrobenzene has been shown to proceed more rapidly in an ionic liquid than in ethanol, primarily due to entropic, rather than enthalpic, effects. By using molecular dynamics simulations, an anion-pi interaction appears to contribute to strong ordering within the starting material complex that accounts for the relative differences in the S(N)Ar k.

We survey two of the many aspects of the standard braid order, namely its set theoretical roots, and the known connections with knot theory, including results by Netsvetaev, Malyutin, and Ito, and very recent work in progress by Fromentin and Gebhardt. It has been known since 1992 [7, 8] that Artin’s braid groups Bn are leftorderable, by an ordering that has several remarkable properties. In pa...

The $5d$-based $\mathrm{Sr}\mathrm{Ir}{\mathrm{O}}_{3}$ represents a prototype example of nonmagnetic correlated metal which mainly originates from combined effect spin-orbit coupling, lattice dimensionality, and crystal structure. Therefore tuning these parameters results in diverse physical properties this material. Here, we study the structural, magnetic, electrical transport behavior epitax...