Recently, some researches have been carried out in the context of using data envelopment analysis (DEA) models to generate local weights of alternatives from pairwise comparison matrices used in the analytic hierarchy process (AHP). One of these models is the DEAHP. The main drawback of the DEAHP is that it generates counter-intuitive priority vectors for inconsistent pairwise comparison matric...

in this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. this leads to the characterization of a matrix for which the regularity index and the index are identical. further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed.

In this paper, an effective direct method to determine the numerical solution of linear and nonlinear Fredholm and Volterra integral and integro-differential equations is proposed. The method is based on expanding the required approximate solution as the elements of Chebyshev cardinal functions. The operational matrices for the integration and product of the Chebyshev cardinal functions are des...

Solving the multi-hour survivable network design problem entails finding the most cost efficient network design given two or more demand matrices that represent network traffic for different (busy-)hours. In addition to capacity installations, feasible routings that satisfy the traffic requirements for all of the demand matrices need to be determined. The problem is formulated as a mixed-intege...

We introduce a notion of training methodology space (TM space) for specifying training methodologies in tile different disciplines and teaching traditions associated with computational linguistics and the human language technologies, and pin our approach to the concept of operational model; we also discuss different general levels of interactivity. A number of operational models are introduced,...

This paper proposes a trajectory planning and tracking approach for bilinear systems that approximate weakly nonlinear systems, based on orthogonal functions and especially the use of operational integration and product matrices. These operational tools allow the conversion of a bilinear differential state equation into an algebraic one depending on initial and final conditions. Arranging and s...

Abstract. In this paper, we extend the idea of pseudo spectral method to approximate solution of time fractional order three-dimensional heat conduction equations on a cubic domain. We study shifted Jacobi polynomials and provide a simple scheme to approximate function of multi variables in terms of these polynomials. We develop new operational matrices for arbitrary order integrations as well ...

*Correspondence: [email protected] Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai, China Abstract This paper uses new fractional integration operational matrices to solve a class of fractional neutral pantograph delay differential equations. A fractional-order function space is constructed where the exact solution lies in, and a set of orthogonal bases are given. Us...