- P-ISSN1226-0657
- E-ISSN2287-6081
- KCI
ISSN : 1226-0657
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Vol.13 No.2
Abstract
In this paper we study lattice valued fuzzy gradation of openness so that fuzzy gradation of openness [13] could be obtained as a particular case. Some of its properties are studied. We also give definitions of lattice valued graded fuzzy filters, graded, fuzzy grills, graded fuzzy preproximities and proximities.
Abstract
In [6], we have recently proved that an additive inverse semiring S is a Clifford semifield if and only if S is a subdirect product of a field and a distributive lattice. In this paper, we study the matrix semiring over a Clifford semifield.
Abstract
In this paper, we introduce the concept of P(r,m) <TEX>$\Gamma$</TEX>-near-ring and obtain some characterization of P(r,m) <TEX>$\Gamma$</TEX>-near-rings through regularity conditions.
Abstract
We formulate and analyze a hybrid system model that involves Volterra integral operators with multiple integrals and two types of impulsive terms. We give a constructive proof, via an iteration method, of existence and uniqueness of solutions.
Abstract
We introduce the notion of the generalized covariance and variance for bounded linear operators on Hilbert space, and prove that the generalized covariance-variance inequality holds. It turns out that the inequality is a useful formula in tile study of inequality involving linear operators in Hilbert spaces.
Abstract
Let <TEX>$\gamma$</TEX> be a <TEX>$C_2$</TEX> curve in the open unit disk <TEX>$\mathbb{D}</TEX>. Flinn and Osgood proved that <TEX>$K_{\mathbb{D}}(z,\gamma){\geq}1$</TEX> for all <TEX>$z{\in}{\gamma}$</TEX> if and only if the curve <TEX>${\Large f}o{\gamma}$</TEX> is convex for every convex conformal mapping <TEX>$\Large f$</TEX> of <TEX>$\mathbb{D}</TEX>, where <TEX>$K_{\mathbb{D}}(z,\;\gamma)$</TEX> denotes the hyperbolic curvature of <TEX>$\gamma$</TEX> at the point z. In this paper we establish a generalization of the Flinn-Osgood characterization for a curve with the hyperbolic curvature at least 1.
Abstract
The notion of regularity in near-ring was generalized by the concept of b-regular and some characterizations of the same was obtained through the substructures viz bi-ideals in near-rings. In this paper, we generalize further and introduce tile notion of weakly b-regular near-rings and obtain a characterization of tile same.