TY - JOUR T1 - Soft Connectedness Via Soft Ideals AU - Kandil, A. PY - 2014 DA - April JF - Journal of New Results in Science JO - JNRS PB - Tokat Gaziosmanpasa University WT - DergiPark SN - 1304-7981 SP - 90 EP - 108 VL - 3 IS - 4 LA - en AB - The notion of soft topological spaces with soft idealwas studied by Kandil et al. [15]. Applications to various fieldswere further investigated by Kandil et al. [13, 14]. The notionof connectedness in soft topological spaces was initiated by Linin [19]. The purpose of this paper is to introduce and study thenotion of connectedness to soft topological spaces with soft ideals.We study the notions of -soft connected sets, -soft separatedsets ands-soft connected sets in soft topological spaces with softideals CR - B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems (2009) 1-6. CR - B. Ahmad and A. Kharal, Mappings of soft classes, to appear in New Math. Nat. Comput. CR - H. Aktas and N. Cagman, Soft sets and soft groups, Information Sciences 1 (77) (2007) 2726-2735. CR - M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications 57 (2009) 1547- 1553. CR - A. Aygunoglu and H. Aygun, Introduction to fuzzy soft groups, Computers and Mathematics with Applications 58 (2009) 1279-1286. CR - Banu Pazar Varol and Halis Aygun, On soft Hausdorff spaces, Annals of Fuzzy Mathematics and Informatics 5 (2013) 15-24. CR - Bin Chen, Some Local Properties of Soft Semi-Open Sets, Hindawi Publishing Corporation, 2013 (1-6). CR - N. C¸ agman, F.Citak and S. Enginoglu, Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems 1(1)(2010) 21-35. CR - N.Cagman and S. Enginoglu, Soft set theory and uni-int decision making, European Journal of Operational Research 207 (2010) 848-855. CR - S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62 (2011) 4058-4067. CR - D. Jankovic and T.R. Hamlet, New topologies from old via ideals, The American Mathematical Monthly 97 (1990) 295-310. CR - A.Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, γ-operation and decompositions of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics 7 (2014) 181-196. CR - A.Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, γ-operation and decompositions of some forms of soft continuity of soft topological spaces via soft ideal. To appear in the J¨okull Journal. CR - A.Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Semi-soft compactness via soft ideals. , Appl. Math. Inf. Sci. 8 (5) (2014) 1-10. CR - A.Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Soft ideal theory, Soft local function and generated soft topological spaces, Appl. Math. Inf. Sci. 8 (4) (2014) 1-9. CR - A.Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Supra soft topological spaces. To appear in the J¨okull Journal. CR - K. Kannan, Soft generalized closed sets in soft topological spaces, Journal of The- oretical and Applied Technology 37 (2012) 17-21. CR - D. V. Kovkov, V. M. Kolbanov and D. A. Molodtsov, Soft sets theory-based opti- mization, Journal of Computer and Systems Sciences International 46 (6) (2007) 872-880. CR - F. Lin, Soft connected spaces and soft paracompact spaces, International Journal of Mathematical Science and Engineering, 7 (2) (2013) 1-7. CR - J. Mahanta and P.K. Das, On soft topological space via semi open and semi closed soft sets, arXiv:1203.4133v,2012. CR - P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics 9 (3) (2001) 589-602. CR - P. K. Maji, R. Biswas and A. R. Roy, Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics 9 (3) (2001) 677-691. CR - P. K. Maji,R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics with Applications 45 (2003) 555-562. CR - P. Majumdar and S. K. Samanta, Generalised fuzzy soft sets, Computers and Mathematics with Applications 59 (2010) 1425-1432. CR - D. A. Molodtsov, Soft set theory-firs tresults, Computers and Mathematics with Applications 37 (1999) 19-31. CR - D.Molodtsov, V. Y. Leonov and D. V. Kovkov, Soft sets technique and its appli- cation, Nechetkie Sistemy i Myagkie Vychisleniya 1(1)(2006) 8-39. CR - A. Mukherjee and S. B. Chakraborty, On intuitionistic fuzzy soft relations, Bulletin of Kerala Mathematics Association 5(1)(2008) 35-42. CR - Sk. Nazmul and S. K. Samanta, Neighbourhood properties of soft topological spaces, Annals of Fuzzy Mathematics and Informatics 6(2012) 1-15. CR - D. Pei and D. Miao, From soft sets to information systems, in: X. Hu, Q. Liu, A. Skowron, T. Y. Lin, R. R. Yager, B. Zhang (Eds.), Proceedings of Granular Computing, in: IEEE, vol.2, 2005, pp. 617-621. CR - M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl. 61 (2011) 1786-1799. CR - Sujoy Das and S. K. Samanta, Soft metric, Annals of Fuzzy Mathematics and Informatics 6 (2013) 77-94. CR - Weijian Rong, The countabilities of soft topological spaces, International Journal of Computational and Mathematical Sciences 6 (2012) 159-162. CR - Z. Xiao, L. Chen, B. Zhong, S. Ye, Recognition for information based on the theory of soft sets, in: J. Chen(Ed.), Proceeding of ICSSSM-05, vol. 2, IEEE, pp. 1104-1106, 2005. CR - W. Xu, J. Ma, S. Wang and G. Hao, Vague soft sets and their properties, Com- puters and Mathematics with Applications 59 (2010) 787-794. CR - Y. Zou and Z. Xiao, Data analysis approaches of soft sets under incomplete infor- mation, Knowledge-Based Systems 21 (2008) 941-945. CR - I. Zorlutuna, M. Akdag, W.K. Min and S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3 (2012) 171-185. UR - https://dergipark.org.tr/en/pub/jnrs/article/123311 L1 - https://dergipark.org.tr/en/download/article-file/105152 ER -