recently, gasimov and yenilmez proposed an approach for solving two kinds of fuzzy linear programming (flp) problems. through the approach, each flp problem is first defuzzified into an equivalent crisp problem which is non-linear and even non-convex. then, the crisp problem is solved by the use of the modified subgradient method. in this paper we will have another look at the earlier defuzzifi...

Because of the strong influence of dietary fat on serum cholesterol levels, there has been a great deal of interest in possible parallel effects on bile acid formation and excretion. The output of bile acids in human feces has been determined in several studies by a variety of chemical and isotopic procedures. Values have been reported ranging from less than 0.1 to as high as 2 g per day (1-9)....

Certain spaces satisfying Poincare duality are shown to have the homotopy type of simple Poincare complexes. The motivation for and applications of this result are the study of free actions of finite groups on manifolds. Let X be a finite CW complex with finite fundamental group ir. Then X is an n-dimensional Poincare complex if there is a class [X] E H, (X) such that the slant product with the...

Motivated by the rate at which the entropy of an ergodic Markov chain relative to its stationary distribution decays to zero, we study modified versions of logarithmic Sobolev inequalities in the discrete setting of finite Markov chains and graphs. These inequalities turn out to be weaker than the standard log-Sobolev inequality, but stronger than the Poincare’ (spectral gap) inequality. We sho...

We discuss and compare two alternative perturbation approaches for the calculation of the period of nonlinear systems based on the Lindstedt–Poincaré technique. As illustrative examples we choose one–dimensional anharmonic oscillators and the Van der Pol equation. Our results show that each approach is better for just one type of model considered here.

We summarize some numerical works on the analyticity properties of the perturbative series (e. g. Lindstedt series) for some simple discrete-time hamiltonian systems like the so-called \standard map" and generalizations. We stress the relevance of our results for the development of a renormalization group picture based on perturbation theory.

Inspired by the quantum eld theory, a resummation is performed in the Lindstedt series deening the KAM tori, and a possible mechanism for universality of the tori breakdown is discussed. This work is mostly based on a joint paper with G. Gallavotti.