Generalized closed sets in ditopological texture spaces with application in rough set theory
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 4, Issue 2
Abstract
In this paper, the counterparts of generalized open (g-open) and generalized closed (g-closed) sets for ditopological texture spaces are introduced and some of their characterizations are obtained. Some characterizations are presented for generalized bicontinuous difunctions. Also, we introduce new notions of compactness and stability in ditopological texture spaces based on the notion of g-open and g-closed sets. Finally, as an application of g-open and g-closed sets, we generalize the subsystem based denition of rough set theory by using new subsystem, called generalized open sets to dene new types of lower and upper approximation operators, called g-lower and g-upper approximations. These decrease the upper approximation and increase the lower approximation and hence increase the accuracy. Properties of these approximations are studied. An example of multi-valued information systems are given.
Authors and Affiliations
Heba Mustafa, F. M. Sleim
Keywords
Related Articles
- EP ID EP651205
- DOI 10.24297/jam.v4i2.2490
- Views 189
- Downloads 0
New Analytical and Empirical Expressions for the Percentage of the Star's Flux Through TransparentAtmosphere Between Two Wave Lengths
In this paper, new analytical and empirical expressions for the percentage of the star's flux through transparent atmosphere between two wave lengths are developed. For the analytical developments, literal expressi...
ON INTUITIONISTIC FUZZY IDEALS BITOPOLOGICAL SPACES
In this paper we introduce the notion of intuitionistic fuzzy ideals in intuitionistic fuzzy bitopological spaces and we prove som...
BICOMPLETABLE STANDARD FUZZY QUASI-METRIC SPACE
In this paper we introduce the definition of standard fuzzy quasi-metric space then we discuss several properties after we give an example to illustrate this notion. Then we showed the existence of a standard fuzzy quasi...
Improved Newton-Raphson Methods for Solving Nonlinear Equations
In this paper, we mainly study the numerical algorithms for simple root of nonlinear equations based on Newton-Raphson method. Two modified Newton-Raphson methods for solving nonlinear equations are suggested. Both of th...
NONCLASSICAL FOURTH ORDER DISCONTINUOUS BOUNDARY VALUE PROBLEM WITH ABSTRACT LINEAR FUNCTIONALS
In this study, we have considered a nonstandard boundary-value problem for fourth order differential equation on two disjoint intervals The boundary conditions contains not only endpoints and but also a point inter...