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ISSN : 1226-0657
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Vol.14 No.3
Abstract
We introduce the concept of intuitionistic fuzzy semiprimality of a semigroup which is an extension of semiprimality in it. And we obtain a characterization of a semigroup that is a semilattice of simple semigroups in terms of intuitionistic fuzzy semiprime interior ideals.
Abstract
The notion of bi-ideals in near-rings was effectively used to characterize the near-fields. Using this notion, various generalizations of regularity conditions have been studied. In this paper, we generalize further the notion of bi-ideals and introduce the notion of weak bi-ideals in near-rings and obtain various characterizations using the same in left self distributive near-rings.
Abstract
Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation <TEX>$AX_i=Y_i$</TEX>, for i = 1,2,...,n. In this article, we showed the following: Let L, be a subspace lattice on a Hilbert space H and let X and Y be operators in B(H). Then the following are equivalent: (1) <TEX>$$sup\{\frac{{\parallel}E^{\bot}Yf{\parallel}}{{\overline}{\parallel}E^{\bot}Xf{\parallel}}\;:\;f{\epsilon}H,\;E{\epsilon}L}\}\;<\;{\infty},\;sup\{\frac{{\parallel}Xf{\parallel}}{{\overline}{\parallel}Yf{\parallel}}\;:\;f{\epsilon}H\}\;<\;{\infty}$$</TEX> and <TEX>$\bar{range\;X}=H=\bar{range\;Y}$</TEX>. (2) There exists an invertible operator A in AlgL such that AX=Y.
Abstract
In this paper we define a topology (analogous to Chang-type fuzzy topology) and a fuzzy topology (analogous to <TEX>$H\"{o}hle-type$</TEX> fuzzy topology) associated with a lattice and study some of their properties.
Abstract
The main components in the generalized Mandelbrot sets are under a theoretical investigation for their parametric boundary equations. Using the boundary geometries, a fast construction algorithm is introduced for the generalized Mandelbrot set. This fast algorithm definitely reduces the construction CPU time in comparison with the naive algorithm. Its graphic implementation displays the mysterious and beautiful fractal sets.
Abstract
In this paper, when n = 6, we will determine the minimum permanent and minimizing matrices on the face of <TEX>${\Omega}_{n}$</TEX> which contains exactly two square zero-submatrices.
Abstract
We introduce a new two-point iterative method to approximate solutions of nonlinear operator equations. The method uses only divided differences of order one, and two previous iterates. However in contrast to the Secant method which is of order 1.618..., our method is of order two. A local and a semilocal convergence analysis is provided based on the majorizing principle. Finally the monotone convergence of the method is explored on partially ordered topological spaces. Numerical examples are also provided where our results compare favorably to earlier ones [1], [4], [5], [19].
Abstract
We give an answer to the following question: Question. Let S be a subset of [0,1] containing a maximal element m > 0 and let C :=<TEX>$\{I_{t}\;{\mid}\;t{\in}S\}$</TEX> be a decreasing chain of ideals of a BCK/BCI-algebra X. Then does there exists a fuzzy ideal <TEX>${\mu}(X)=S\;and\;C_{\mu}=C?$</TEX>.