Creating ensembles of random but “realistic” topologies for complex systems is crucial for many tasks such as benchmark generation and algorithm analysis. In general, explanatory models are preferred to capture topologies of technological and biological complex systems, and some researchers claimed that it is largely impossible to capture any nontrivial network structure while ignoring domain-s...

in this paper, by presenting some notions and theorems, we obtaindifferent types of fuzzy topologies. in fact, we obtain somelowen-type  and chang-type fuzzy topologies on general fuzzyautomata. to this end, first we define a kuratowski fuzzy interioroperator which induces a  lowen-type  fuzzy topology on the  set ofstates of a max- min general   fuzzy automaton. also by  provingsome theorems, ...

Hawking temperature is computed for a large class of black holes (with spherical, toroidal and hyperboloidal topologies) using only laws of classical physics plus the ”classical” Heisenberg Uncertainty Principle. This principle is shown to be fully sufficient to get the result, and there is no need to this scope of a Generalized Uncertainty Principle. PACS numbers: 04.70.-s, 04.70.Dy, 03.65.Ta

athemat s.2012.1 Abstract Rough set theory is a powerful mathematical tool for dealing with inexact, uncertain or vague information. The core concept of rough set theory are information systems and approximation operators of approximation spaces. In this paper, we define and investigate three types of lower and upper multiset approximations of any multiset. These types based on the multiset bas...

In recent years, the rapidly increasing amounts of data created and processed through internet resulted in distributed storage systems employing erasure coding based schemes. Aiming to balance tradeoff between recovery for correlated failures efficient encoding decoding, maximally recoverable codes came up. Unifying a number topologies considered both theory practice, Gopalan et al. [15] initia...

R.Devi, K.Balachandran and H.Maki, Generalized α-closed maps and α-generalized closed maps, Indian J. Pure.Appl.Math, 29(1)(1998),37-49. R.Devi, K.Bhuvaneshwari and H.Maki, Weak form on gr-closed sets, where rÎ{a,a*,a**} and the digital plane, Mem. Fac. Sci. Kochi Univ. (Math.), Vol.25(2004), 37-54. R.Devi, S.N.Rajappriya, K.Muthukumaraswamy and H.Maki, -closed sets in topological spaces and d...

Skew convolution semigroups play an important role in the study of generalized Mehler semigroups and Ornstein-Uhlenbeck processes. We give a characterization for a general skew convolution semigroup on real separable Hilbert space whose characteristic functional is not necessarily differentiable at the initial time. A connection between this subject and catalytic branching superprocesses is est...

This article proposes two generalized multilevel inverter configurations that reduce the number of switching devices, isolated DC sources, and total standing voltage on power switches, making them suitable for renewable energy sources. The main topology is a handles sources by ten switches to create twenty-five levels. Based proposed inverters are introduced indicate flexibility in designing al...