MULTISET BITOPOLOGICAL SPACES

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Published: 2015-10-08

Page: 103-115


S. A. EL-SHEIKH

Department of Mathematics, Faculty of Education, Ain Shams University, P.O.Box 11575, Cairo, Egypt

R. A-K. OMAR

Department of Mathematics, Faculty of Education, Ain Shams University, P.O.Box 11575, Cairo, Egypt

M. RAAFAT *

Department of Mathematics, Faculty of Education, Ain Shams University, P.O.Box 11575, Cairo, Egypt

*Author to whom correspondence should be addressed.


Abstract

The main purpose of this paper is to introduce and study the notion of multiset bitopological spaces. Moreover, the notions of ij-pre-open msets, ij-α-open msets, ij-semi-open msets and ij-β-open msets are presented. The properties of the present notions are studied and the relationships between them are given. The importance of this approach is that, the class of multiset bitopological spaces is wider and more general than the class of bitopological spaces.

Keywords: Mset, multiset bitopological space, ij-pre-open mset, ij-α-open mset, ij-semi-open mset, ij-β-open mset


How to Cite

EL-SHEIKH, S. A., OMAR, R. A.-K., & RAAFAT, M. (2015). MULTISET BITOPOLOGICAL SPACES. Asian Journal of Mathematics and Computer Research, 8(2), 103–115. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/497

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