Pairwise soft separation axioms in soft bitopological spaces
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
The motivation of the current paper is to define and study some soft separation axioms in soft bitopological spaces in terms of pairwise softness namely, pairwise soft $T^{*}_{0}$, pairwise soft $T^{*}_{1}$, pairwise soft $T^{*}_{2}$, and pairwise soft $R^{*}_{1}$. Characterizations and properties of these soft separation axioms have been obtained. Moreover, we study the implications of these types of soft separation axioms in soft and crisp cases. Finally, we show that these properties are hereditary.
Abstract
The motivation of the current paper is to define and study some soft separation axioms in soft bitopological spaces in terms of pairwise softness namely, pairwise soft $T^{*}_{0}$, pairwise soft $T^{*}_{1}$, pairwise soft $T^{*}_{2}$, and pairwise soft $R^{*}_{1}$. Characterizations and properties of these soft separation axioms have been obtained. Moreover, we study the implications of these types of soft separation axioms in soft and crisp cases. Finally, we show that these properties are hereditary.
참고문헌 (22)
- A. Aygunoglu, "Some notes on soft topological spaces", Neural Comput. Applic, 21(Suppl 1), pp.S113~S119 (2012)
- Basavaraj M. Ittanagi, "Soft bitopological spaces", International Journal of Computer Applications, 107(7), pp.1~4 (2011)
- S. A. El-Sheikh, "Dimension theory of bitopological spaces", Master, pp.1987
- D. N. Georgiou, "Soft set theory and topology", Appl. Gen. Topol, 15(1), pp.93~109 (2014)
- H. Hazra, "Soft topology", Fuzzy Inform. Eng, 4(1), pp.105~115 (2012)
- S. Hussain, "Some properties of soft topological spaces", Comput. Math. Appl, 62, pp.4058~4067 (2011)
- M. Irfan Ali, "Algebraic structures of soft sets associated with new operations", Comput. Math. Appl, 61, pp.2647~2654 (2011)
- A. Kandil, "Generalized pairwise closed soft sets and the associate pairwise soft sets", South Asian J. Math, 6(2), pp.43~57 (2016)
- A. Kandil, "Pairwise open (closed) soft sets in soft bitopological spaces", Ann. Fuzzy Math. Inform, 11(4), pp.571~588 (2016)
- A. Kandil, "Some types of pairwise soft sets and the associated soft topologies", Journal of Intelligent and Fuzzy Syst, 32(1), pp.1007~1018 (2017)
- K. Kannan, "Soft generalized closed sets in soft topological spaces", Journal of Theoretical and Appl. Inform. Technology, 37(1), pp.17~21 (2012)
- J. C. Kelly, "Bitopological spaces", Proc. London Math. Soc, 13, pp.71~89 (1963)
- P. Majumdar, "On soft mappings", Comput. Math. Appl, 60, pp.2666~2672 (2010)
- D. Molodtsov, "Soft set theory-First results", Comput. Math. Appl, 37, pp.19~31 (1999)
- Sk. Nazmul, "Neighbourhood properties of soft topological spaces", Ann. Fuzzy Math. Inform, 6(1), pp.1~15 (2013)
- Sk. Nazmul, "Some properties of soft topologies and group soft topologies", Ann. Fuzzy Math. Inform, 8(4), pp.645~661 (2014)
- E. Peyghan, "About soft topological spaces", Journal of New Results in Science, 2, pp.60~75 (2013)
- D. Pie, "From soft sets to information systems, Granular computing", IEEE Inter. Conf, 2, pp.617~621 (2005)
- M. Shabir, "On soft toplogical spaces", Comput. Math. Appl, 61(7), pp.1786~1799 (2011)
- Sujoy Das, "Soft metric", Ann. of Fuzzy Math. Inform, 6, pp.77~94 (2013)
- Weijian Rong, "The countabilities of soft topological spaces", International Journal of Computational and Mathematical Sciences, 6, pp.159~162 (2012)
- I. Zorlutuna, "Remarks on soft topological spaces", Ann. Fuzzy Math. Inform, 3(2), pp.171~185 (2012)