On fuzzy weakly-closed sets

A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets. Alongwith the study of fundamental results of such closed sets, we define and characterize fuzzy weakly compact space and fuzzy weakly closed space

Semiopen and semiclosed sets in fuzzy soft topological spaces

Abstract. In this paper, we introduce semiopen and semiclosed fuzzy soft sets in fuzzy soft topological spaces. Various properties of these sets are studied alongwith some characterizations. Further, we generalize the structures like interior and closure via semiopen and semiclosed fuzzy soft sets and study their various properties. 2010 AMS Classification: 54A40

Analysis of the Problems Occurred Due to Partial Shading of Solar Photovoltaic Array and Probable Solutions

A solar panel is made up of solar cells where semiconductors made to react and give us a potential difference when solar energy falls on it. However, due to the internal and external interferences, many problems are faced by solar panels, like dust, partial shading by leaves or mud, etc. This paper aims at trying to find out the best possible solution for the partial shading problems when solar energy is harvested using a solar panel. The Series-Parallel configuration (SP) and the Total-Cross Tied configuration (TCT) connections of PV module have been analyzed using MATLAB

Radion effects on the production of an intermediate-mass scalar and Z at LEP II

We have studied the $e^+ e^- \to Z \phi_i \to Z jj$ process, where $\phi_i$ is the Higgs and/or radion bosons. The implications of the radion effects on the preliminary ALEPH data are also discussed. The case of the lighter radion than Higgs boson is disfavored by the ALEPH analyses of the $b$ tagged four-jet data, since the radion predominantly decays into two gluon jets due to the QCD trace anomaly. If the radion is highly degenerate in mass with the Higgs, the cross section can be increased more than at one sigma level, with natural scale of the vacuum expectation value of the radion.Comment: 10 pages, 1 Postscript figure, final version to appear in PR

Radion effects on unitarity in gauge-boson scattering

The scalar field associated with fluctuations in the positions of the two branes, the ``radion'', plays an important role determining the cosmology and collider phenomenology of the Randall-Sundrum solution to the hierarchy problem. It is now well known that the radion mass is of order the weak scale, and that its couplings to standard model fields are order 1/TeV to the trace of the energy momentum tensor. We calculate longitudinal vector boson scattering amplitudes to explore the constraints on the radion mass and its coupling from perturbative unitarity. The scattering cross section can indeed become non-perturbative at energies prior to reaching the TeV brane cutoff scale, but only when some curvature-Higgs mixing on the TeV brane is present. We show that the coefficient of the curvature-Higgs mixing operator must be less than about 3 for the 4-d effective theory to respect perturbative unitarity up to the TeV brane cutoff scale. Mass bounds on the Higgs boson and the radion are also discussed.Comment: 17 pages, LaTeX, 5 eps figures, uses epsf.sty and axodraw.st