in this paper, we investigated the corrected plasmon dispersion relation for graphene in presence of a constant magnetic field which it includes a quantum term arising from the collective electron density wave interference effects. by using quantum hydrodynamic plasma model which incorporates the important quantum statistical pressure and electron diffraction force, the longitudinal plasmons ar...

in previous studies we first concentrated on utilizing crisp simulationto produce discrete event fuzzy systems simulations. then we extendedthis research to the simulation of continuous fuzzy systems models. in this paperwe continue our study of continuous fuzzy systems using crisp continuoussimulation. consider a crisp continuous system whose evolution depends ondifferential equations. such a ...

This paper shows, by examples, that Lemma 2.1, Lemma 3.1, Corollary 3.1, Corollary 3.2, Theorem 3.1, Corollary 3.3, Theorem 3.3 and Lemma 4.1 in [Y. Luo, Resolution of fuzzy relation equation (I) based on Boolean-type implications, Comput. Math. Appl. 52 (2006) 421–428] about resolution of fuzzy relation equations based on Boolean-type implications, are false. We also point out that the solutio...

Systems of fuzzy relation equations and inequalities in which an unknown is on the one side equation or inequality are linear systems. They most studied ones, a vast literature systems focuses finding solutions solvability criteria for such The situation quite different with so-called weakly systems, both sides inequality. Precisely, scholars have only given characterization set exact to This p...