Most of the real-world multi-criteria decision-making (MCDM) problems contain a mixture of quantitative and qualitative criteria; therefore quantitative MCDM methods are inadequate for handling this type of decision problems. In this paper, a MCDM method based on the Fuzzy Sets Theory and on the Analytic Hierarchy Process (AHP) is proposed. This method incorporates a number of perspectives on h...

We formulate and justify rigorously a numerically efficient criterion for the computation of the analyticity breakdown of quasi-periodic solutions in Symplectic maps (any dimension) and 1-D Statistical Mechanics models. Depending on the physical interpretation of the model, the analyticity breakdown may correspond to the onset of mobility of dislocations, or of spin waves (in the 1-D models) an...

Gene selection is an important research topic in pattern recognition and tumor classification. Numerous methods have been proposed, Maximum Margin Criterion (MMC) is one of the famous methods have been proposed to solve the small size samples problem. But, the MMC only considers the global structure of samples. In this article, a novel recursive gene selection criterion named Laplacian Maximum ...

A common problem in independent component analysis after prewhitening is to optimize some contrast on the orthogonal or unitary group. A popular approach is to optimize the contrast only with respect to a single angle (Givens rotation) and to iterate this procedure. In this paper we discuss the choice of the sequence of rotations for such so-called Jacobi-based techniques, in the context of joi...

This paper presents a new fast approach for surfaces extraction of tubular structures, such as blood vessels, tracheas, and colons. Since they are usually long and thin, when being extracted with the traditional Minimal Action Surface method, edges leakage problem could not be avoided. So a front freezing criterion based on the front's average energy is developed. To freeze the tail of the fron...

Article history: Received 16 October 2010 Accepted 15 June 2011 Available online 3 September 2011 0960-0779/$ see front matter 2011 Elsevier Ltd doi:10.1016/j.chaos.2011.06.006 ⇑ Corresponding author. Tel./fax: +86 731 852587 E-mail addresses: [email protected] (X. Ya com (C. Huang), [email protected] (Q. Zhu). This paper concerns the problem of global exponential synchronization for a class of s...

We compare two established and a new method for the calculation of spectral bounds for Hessian matrices on hyperrectangles by applying them to a large collection of 1522 objective and constraint functions extracted from benchmark global optimization problems. Both the tightness of the spectral bounds and the computational effort of the three methods, which apply to C2 functions φ : R → R that c...

In this paper, a fusion method based on fuzzy criterion is proposed for incomplete fingerprint matching due to skin distortions. Firstly, according to the properties of competition of the local fingerprint, complementation and redundancy of the global fingerprint, the proposed scheme is based on orientation entropy and Poincare Index to detect the reference point of fingerprints, and then extra...

In this paper we are concerned with the design of a small low-cost, low-field multipolar magnet for Magnetic Resonance Imaging with a high field uniformity. By introducing appropriate variables, the considered design problem is converted into a global optimization one. This latter problem is solved by means of a new derivative free global optimization method which is a distributed multi-start t...