δβ-I APPROXIMATION SPACES

By Ahmed E. Radwan, R. Hosny, A. A. El-latif. 2017

55 citations recorded by the source corpus.

In this paper, we generalize rough set theory by introducing concepts of  δβ-I lower and δβ-I -upper approximation for any ideal  I on X which depends on the concept δβ-I -open sets. Some of their basic properties with the help of examples are investigated and the interrelation between them are obtained. Also, the connections between the rough approximations de_ned in [2] and our new approximations are studied.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/4dab70e578d7fa2632582a8c622fe6ca5106274c

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In Computational Theory and Mathematics

1. Amiran Gogatishvili
2. Alberto Fiorenza
3. Maria Rosaria Formica

Citations in the corpus

• On grand and small Lebesgue and Sobolev spaces and some applications to PDE's (2018, methodology): “Using the celebrated Holmstedt’s formula ([93]) and the computation of the K functional, in the paper [59] (see also [35]) a new, recent characterization of grand and small Lebesgue spaces as interpolation spaces in the sense of Peetre, has been obtained.”