in this paper, the finitely many constraints of a fuzzy relationinequalities problem are studied and the linear objective function on the regiondefined by a fuzzy max-average operator is optimized. a new simplificationtechnique which accelerates the resolution of the problem by removing thecomponents having no effect on the solution process is given together with analgorithm and a numerical exa...

Integral form expressions are obtained for the Mathieu-type series and their associated alternating versions, terms of which contain a (p,ν)-extended Gauss hypergeometric function. Contiguous recurrence relations found with respect to two parameters, finally, particular cases related bounding inequalities established.

ess as: 2), http: athemat s.2012.0 Abstract Two Gauss functions are said to be contiguous if they are alike except for one pair of parameters, and these differ by unity. Contiguous relations are of great use in extending numerical tables of the function. In this paper we will introduce a new method for computing such types of relations. a 2012 Egyptian Mathematical Society. Production and hosti...

Using Taylor's series we propose a modified secant relation to get a more accurate approximation of the second curvature of the objective function. Then, based on this modified secant relation we present a new BFGS method for solving unconstrained optimization problems. The proposed method make use of both gradient and function values while the usual secant relation uses only gradient values. U...

fuzzy relation inequalities based on max-f composition are discussed, where f is a binary aggregation on [0,1]. for a fixed fuzzy relation inequalities system $ a circ^{f}textbf{x}leqtextbf{b}$, we characterize all matrices $ a^{'} $ for which the solution set of the system $ a^{' } circ^{f}textbf{x}leqtextbf{b}$ is the same as the original solution set. similarly, for a fixed matrix ...

Cancer testis antigens (CTAs), a large family of tumor-associated and immunogenic antigens expressed in human tumors of various histological origins, are highly restricted to the testis and trophoblast. CTAs have been identified as potent targets for tumor-specific immunotherapeutic advances and have immensely lead to the development of different clinical trials of CTA-based vaccine therapy bec...

In this paper we study differences between contiguous and non-contiguous parallel task schedules. Parallel tasks can be executed on more than one processor simultaneously. In the contiguous schedules indices of the processors assigned to a task must be a sequence of consecutive numbers. In the non-contiguous schedules processor indices may be arbitrary. Nonpreemptive schedules are considered. G...

xnþ1 1⁄4 f ðn; xn; . . . ; xn2kÞ; n $ 0; where f is continuous, and the zero solution is assumed to be the unique equilibrium. We focus our discussion on two techniques motivated by stability results for functional differential equations (FDEs) that proved recently to be useful in the frame of difference equations too. The first one involves the use of discrete inequalities and monotonicity arg...