On fuzzy soft connected topological spaces
الموضوعات :S. Karataş 1 , B. Kılıccedil 2 , M. Tellioğlu 3
1 - Department of Mathematics, Ordu University, 52200, Turkey
2 - Department of Mathematics, Ordu University, 52200, Turkey
3 - Department of Mathematics, Ordu University, 52200, Turkey
الکلمات المفتاحية: Fuzzy soft set, fuzzy soft topological space, fuzzy soft connectedness,
ملخص المقالة :
In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, $C_i$-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.
[1] B. Ahmad, and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 1 (2009), 1-6.
[2] N. Ajmal and J.K. Kohli, Connectedness in fuzzy topological spaces, Fuzzy Sets and Systems, 31 (1989), 369-388.
[3] H. Akta¸s and N. Cagman, Soft sets and soft group, Information Science, 177 (2007), 2726-2735.
[4] A. Aygunoglu and H. Aygun, Some notes on soft topological spaces, Neural Comput and Appl., 21(1) (2011), 113-119.
[5] N. Cagman, and S. Enginoglu, Soft set theory and uni-int decision making, European Journal of Operational Research, 207 (2010), 848-855.
[6] N. Cagman, F. Cıtak and S. Enginoglu, Fuzzy parameterized fuzzy soft set theory and its applications, Turk. J. Fuzzy Syst., 1(1) (2010), 21-35.
[7] N. Cagman, S. Karatas and S. Enginoglu, Soft topology, Computers and Mathematics with Applications, 62 (2011), 351-358.
[8] N. Cagman, S. Enginoglu and F. Cıtak, Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems, 8(3) (2011), 137-147.
[9] N. Cagman, Contributions to the theory of soft sets, Journal of New Results in Science, 4 (2014), 33-41.
[10] C. L. Chang, Fuzzy topological spaces, J. Math. Appl., 24 (1968), 182-193.
[11] P.K. Gain, P. Mukherjee, R.P. Chakraborty and M. Pal, On some structural properties of fuzzy soft topological spaces, Intern. J. Fuzzy Mathematical Archive, 1 (2013), 1-15.
[12] C¸. Gunduz and S. Bayramov, Some results on fuzzy soft topological spaces Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2013, Article ID 835308.
[13] S. Hussain and B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications, 62 (2011), 4058-4067.
[14] S. Hussain, A note on soft connectedness, Journal of Egyptian Mathematical Society, 23(1) 2015, 6-11.
[15] A. Kharal and B. Ahmad, Mappings on fuzzy soft classes, Hindawi Publishing Corporation, Advances in Fuzzy Systems, Article ID 407890, 2009.
[16] P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9(3) (2001), 589-602.
[17] D. Molodtsov, Soft set theory-first results, Computers Math. Appl., 37(5) (1999), 19-31.
[18] E. Peyghan, B. Samadi and A. Tayebi, About soft topological spaces Journal of New Results in Science, 2 (2013), 60-75.
[19] S. Roy and T.K. Samanta, A note on fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3(2) (2012), 305-311.
[20] M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications, 61 (2011), 1786-1799.
[21] T. Simsekler and S¸. Yuksel, Fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 5(1) (2013), 87-96.
[22] B. Tanay and M. B. Kandemir, Topological structures of fuzzy soft sets, Computers and Mathematics with Applications, 61 (2011) 412-418.
[23] B. P. Varol and H. Ayg¨un, Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics Volume 41 (3)(2012), 407-419.
[24] L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.
[25] X. D. Zhao, Connectedness on fuzzy topological spaces, Fuzzy Sets and Systems, 20 (1986), 223-240.
[26] I. Zorlutuna, M. Akdag, W. K. Min, S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3(2) (2012), 171-185. Rings, 1(4) (2002) 203-211.