A note on connectedness on soft multi topological spaces

Year 2016, Volume: 5 Issue: 11, 1 - 3, 08.08.2016

Mahmoud Rafaat S A El-sheikh R Ak Omar

Abstract

We show that an alleged theorem stated in [7] is invalid in general, by giving a counter-example.

Keywords

Soft multiset, soft multi topology, soft multi connectedness

References

• Blizard and D. Wayne, Multiset theory, Notre Dame J. Form. Log. 30 (1989) 36−66.
• Blizard and D. Wayne, Real-valued multisets and fuzzy sets, Fuzzy Sets and Systems 33 (1989) 77−97.
• S. A. El-Sheikh, R. A-K. Omar and M. Raafat, Generalized closed soft multiset in soft multi topological spaces, Asian Journal of Mathematics and Computer Research 9 (2015) 302−311.
• S. A. El-Sheikh, R. A-K. Omar and M. Raafat, Semi-compact soft multi spaces, Journal of New Theory 6 (2015) 76−87.
• S. A. El-Sheikh, R. A-K. Omar and M. Raafat, Some types of open soft multisets and some types of mappings in soft multi topological spaces, Ann. Fuzzy Math. Inform. 12 (2016) 15−30.
• S. P. Jena, S. K. Ghosh and B. K. Tripathy, On the theory of bags and lists, Inform. Sci. 132 (2001) 241−254.
• D. Tokat and I. Osmanoglu, Connectedness on soft multi topological spaces, Journal of New Results in Science 2 (2013) 8−18.
• D. Tokat and I. Osmanoglu, Compact soft multi spaces, Eur. J. Pure Appl. Math. 7 (2014) 97−108.
• D. Tokat, I. Osmanoglu and Y. Ucok, On soft multi continuous functions, Journal of New Theory 1 (2015) 50−58.
• R. R. Yager, On the theory of bags, Int. General Syst. 13 (1986) 23−37.