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Chen L.,National University of Singapore | Xu A.,Zhejiang Wanli University | Zhu H.,National University of Singapore
Physical Review A - Atomic, Molecular, and Optical Physics | Year: 2010

We provide methods for computing the geometric measure of entanglement for two families of pure states with both experimental and theoretical interests: symmetric multiqubit states with non-negative amplitudes in the Dicke basis and symmetric three-qubit states. In addition, we study the geometric measure of pure three-qubit states systematically in virtue of a canonical form of their two-qubit reduced states and derive analytical formulas for a three-parameter family of three-qubit states. Based on this result, we further show that the W state is the maximally entangled three-qubit state with respect to the geometric measure. © 2010 The American Physical Society.


Cao S.,Nanjing Research Institute for Agricultural Mechanization | Yang Z.,Zhejiang Wanli University | Zheng Y.,Nanjing Agricultural University
Food Chemistry | Year: 2013

The relationship between chilling injury and sugar metabolism was investigated in loquat fruit stored at 1°C for 35 days. No symptoms of chilling injury occurred in the fruit, of 'Ninghaibai' cultivar, during the whole storage whereas, in 'Dahongpao' fruit, severe chilling symptoms were observed after 20 days of storage at 1°C. 'Ninghaibai' fruit had higher levels of glucose and fructose and higher activities of sucrose hydrolyzing enzymes, such as sucrose synthase-cleavage and invertase, than had 'Dahongpao'. Furthermore, the chilling resistant 'Ninghaibai' fruit also showed higher activities of hexokinase and fructokinase, involved in hexose phoshorylation and sugar signal generation. These results suggest that the higher content of hexoses and activities of hexose sensors were likely part of the mechanism for chilling tolerance of loquat fruit. © 2012 Elsevier Ltd. All rights reserved.


Balezentis T.,Lithuanian Institute of Agrarian Economics | Zeng S.,Zhejiang Wanli University
Expert Systems with Applications | Year: 2013

Multi criteria decision making (MCDM) often involves uncertainty which can be tackled by employing the fuzzy set theory. Type-2 fuzzy sets offer certain additional means for the latter purpose. This paper therefore extends the MULTIMOORA method with type-2 fuzzy sets viz. generalized interval-valued trapezoidal fuzzy numbers. The proposed method thus provides the means for multi-criteria decision making related to uncertain assessments. Utilization of aggregation operators also enables to facilitate group multi-criteria decision making. A numerical example of personnel selection demonstrates the possibilities of application of the proposed method in the field of human resource management and performance management in general. © 2012 Elsevier Ltd. All rights reserved.


Zeng S.,Zhejiang GongShang University | Zeng S.,Zhejiang Wanli University | Su W.,Zhejiang GongShang University
Knowledge-Based Systems | Year: 2011

The ordered weighted distance [27,49] is a new decision-making technique, having been proved useful for the treatment of input data in the form of exact numbers. In this paper, we consider the situation with intuitionistic fuzzy information and develop an intuitionistic fuzzy ordered weighted distance (IFOWD) operator. The IFOWD operator is very suitable to deal with the situations where the input data are represented in intuitionistic fuzzy information and includes a wide range of distance measures and aggregation operators. We study some of its main properties and different families of IFOWD operators. Finally, we develop an application of the new approach in a group decision-making under intuitionistic fuzzy environment and illustrate it with a numerical example. © 2011 Elsevier B.V. All rights reserved.


Fang Z.,Zhejiang Wanli University | Wang X.,Fudan University | Yuan X.,Chinese University of Hong Kong
IEEE Transactions on Signal Processing | Year: 2013

In this paper, we develop a unified framework for beamforming designs in non-regenerative multiuser two-way relaying (TWR). The core of our framework is the solution to the max-min signal-to-interference-plus-noise-ratio (SINR) problem for multiuser TWR. We solve this problem using a Dinkelbach-type algorithm with near-optimal performance and superlinear convergence. We show that, using the max-min SINR solution as a corner stone, the beamforming designs under various important criteria, such as weighted sum-rate maximization, weighted sum mean-square-error (MSE) minimization, and average bit-error-rate (BER) or symbol-error-rate (SER) minimization, etc, can be reformulated into a monotonic program. A polyblock outer approximation algorithm is then used to find the desired solutions with guaranteed convergence and optimal performance (provided that the core max-min SINR solver is optimal). Furthermore, the proposed unified approach can provide important insights for tackling the optimal beamforming designs in other emerging network models and settings. For instances, we extend the proposed framework to address the beamforming design in collaborative TWR and multi-pair MIMO TWR. Extensive numerical results are presented to demonstrate the merits of the proposed beamforming solutions. © 1991-2012 IEEE.


Xu A.,Zhejiang Wanli University
Electronic Journal of Combinatorics | Year: 2014

In this paper, by means of the q-Rice formula we obtain a general q-identity which is a unified generalization of three kinds of identities. Some known results are special cases of ours. Meanwhile, some identities on q-generalized harmonic numbers are also derived.


Wang Q.,Zhejiang Wanli University | Xi L.,Zhejiang Wanli University
Nonlinearity | Year: 2011

This paper proves that two compact and uniformly disconnected Ahlfors-David regular sets are quasi-Lipschitz equivalent if and only if they have the same Hausdorff dimension. © 2011 IOP Publishing Ltd & London Mathematical Society.


Xu Y.-F.,Zhejiang Wanli University
Communications in Theoretical Physics | Year: 2012

For the (2+1)-Dimensional HNLS equation, what are the dynamical behavior of its traveling wave solutions and how do they depend on the parameters of the systems? This paper will answer these questions by using the methods of dynamical systems. Ten exact explicit parametric representations of the traveling wave solutions are given. © 2012 Chinese Physical Society and IOP Publishing Ltd.


Zeng S.,Zhejiang Wanli University
Kybernetes | Year: 2013

Purpose: The purpose of this paper is to present a new decision making technique called the uncertain induced Minkowski OWA distance (UIMOWAD) operator. Design/methodology/approach: The developed UIMOWAD operator is a new aggregation operator that uses the IOWA operator, the Minkowski distance and interval numbers. It is an extension of the IMOWAD operator that uses uncertain information in the aggregation represented in the form of interval numbers. Findings: The UIMOWAD operator is very suitable to deal with complex reordering processes that represent a wide range of factors in an uncertain environment that can be assessed with interval numbers. Research limitations/implications: Clearly, this paper is devoted to the OWA operator and uncertain theory. Practical implications: The UIMOWAD operator is applicable in a wide range of situations such as decision-making, statistics, engineering and economics. Originality/value: This paper fulfils an identified need to study how to make a decision according to expert's interest in uncertain environment. © Emerald Group Publishing Limited.


Zhang K.,Zhejiang Wanli University
Applied Surface Science | Year: 2012

Cu/graphene oxide composites were synthesized by a facile and effective chemical reduction method. The resulting Cu/graphene oxide(GO) composites were characterized by scanning electron microscopy, high-resolution transmission electron microscopy, and X-ray diffraction. The performance of the Cu/GO composites as surface-enhanced Raman scattering (SERS) active substrate was evaluated via using 4-aminothiophenol (4-ABT) as the probe molecule. Compared with 4-ABT on Cu nanoparticles film, the SERS signal of 4-ABT was obviously improved on the Cu/GO composites. The determination of 4-ABT in aqueous solution with SERS method at the Cu/GO composite displayed a line range from 10 -8 to 10 -4 M. The present methodology demonstrates that the composite film composed of Cu, GO is potential for optical chemical sensor applications. © 2012 Elsevier B.V. All rights reserved.

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