Compactness in Multiset Topology

Sougata Mahanta; S. K. Samanta

doi:https://doi.org/10.14445/22315373/IJMTT-V47P538

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 4 | Year 2017 | Article Id. IJMTT-V47P538 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P538

Compactness in Multiset Topology

Sougata Mahanta, S. K. Samanta

Abstract

The purpose of this paper is to introduce the concept of compactness in multiset topological space. We investigate some basic results in compact multiset topological space similar to the results in compact topological space. Furthermore we redefine the concept of functions between two multisets.

Keywords

Multisets, M-topology, compactness, continuity.

References

[1] Blizard and D. Wayne, Multiset theory, Notre Dame Journal of Formal Logic30 (1989 a) 36-66.
[2] Blizard and D. Wayne, Real-valued multisets and fuzzy sets, Fuzzy Sets and Systems 33 (1989 b) 77-97.
[3] Blizard and D. Wayne, The development of multiset theory, Modern Logic 1 (1991) 319-352.
[4] S. A. El-Sheikh, R. A-K. Omar and M. Raafat, γ-operation in M-topological space, Gen. Math. Notes 27 (2015) 40-54.
[5] K. P. Girish and Sunil Jacob John, Multiset topologies induced by multiset relations, Information Sciences 188 (2012) 298-313.
[6] K. P. Girish and Sunil Jacob John, On Multiset Topologies, Theory and Applications of Mathematics & Computer Science 2 (2012) 37-52.
[7] K. P. Girish and Sunil Jacob John, Relations and functions in multiset context, Information Sciences 179 (2009) 758-768.
[8] K. P. Girish and Sunil Jacob John, Rough multisets and information multisystems, Advances in Decision Sciences (2011) 1-17.
[9] A. M. Ibrahim, D. Singh, J. N. Singh, An outline of Multiset space Algebra, International Journal of Algebra 5 (2011) 1515-1525.
[10] S. P. Jena, S. K. Ghosh and B. K. Tripathy, On the theory of bags and lists, Information Sciences 132 (2001) 241-254.
[11] D. Singh, A note on the development of multiset theory, Modern Logic 4 (1994) 405-406.
[12] J Mahanta, D Das, Semi Compactness in Multiset Toplogy, arXiv preprint arXiv:1403.5642(2014)-arxiv.org.

Citation :

Sougata Mahanta, S. K. Samanta, "Compactness in Multiset Topology," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 4, pp. 275-282, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P538