On fuzzy soft semi-pre-open sets and fuzzy soft semi-pre-continuous mappings

Yıl 2017, Cilt: 46 Sayı: 5, 851 - 863, 01.10.2017

Sabir Hussain

Öz

The main aim of this paper is to initiate and explore the properties of fuzzy soft semi-pre-open(closed) sets. We introduce and investigate fuzzy soft semi-pre-interior and fuzzy soft semi-pre-closure in fuzzy soft topological spaces. Moreover, we dene and study the characterizations of fuzzy soft semi-pre-continuous and fuzzy soft semi-pre-open(closed) mappings in fuzzy soft topological spaces.

Anahtar Kelimeler

Fuzzy soft sets, Fuzzy soft topology, Fuzzy soft semi-pre-open(closed), Fuzzy soft semi-pre-interior(closure), Fuzzy soft semi-pre-continuous, Fuzzy soft semi-pre-open(closed) mappings

Kaynakça

• B. Ahmad, S. Hussain : On some structures of soft topology, Mathematical Sciences, 6(64) (2012), 7 Pages.
• B. Ahmad, A. Kharal: Mappings on fuzzy soft classes, Advances in Fuzzy Systems, (2009), Article ID 407890, 6 Pages.
• H. Aktas, N. Cagman: Soft sets and soft groups, Information Sciences , 177(13)(2007), 27262735.
• 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(9)(2009),1547-1553.
• C. L. Chang: Fuzzy topological spaces, Journal of Mathematical Analysis and Applications, 24(1)(1968), 182-190.
• B. Chen: Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics Information Sciences, 7(1)(2013), 287-294.
• B. Chen: Soft local properties of soft semi-open sets, Discrete Dynamics in Nature and Society, Vol. 2013, Article ID 298032, 6 pages.
• S. Du, Q. Qin, Q. Wang, and B. Li: Fuzzy description of topological relations I: a unied fuzzy 9-intersection model, Proceedings of the 1st International Conference on Advances in Natural Computation (ICNC 05), vol. 3612 of Lecture Notes in Computer Science, pp. 1261-1273, Changsha, China, August 2005.
• M. J. Egenhofer and R. D. Franzosa: Point-set topological spatial relations, International Journal of Geographical Information Systems, 5(2)(1991), 161-174.
• M. J. Egenhofer and J. Herring: Categorizing binary topological relations between regions, lines and points in geographic databases, Tech. Rep., Department of Surveying Engineering, University of Maine, Orono, Me, USA, 1991.
• F. Feng, Y. B. Jun, X. Zhao: Soft semi rings,Computers and Mathematics with Applica- tions, 56(10)(2008), 2621-2628.
• F. Feng, Y. M. Li: Soft subsets and soft product operations, Information Sciences, 232(2013), 44-57.
• F. Feng, Y. M. Li, N. Cagman: Generalized uni-int decision making scheme based on choice value soft sets, Europeon Journal of Operaion Research, 220(2012), 162-170.
• F. Feng, M. Akram, B. Davvaz, V. Leoreanu-Fotea: Attribute analysis of information systems based on elementry soft implications, Knowledge Based Systems, 70(2014),281 292.
• F. Feng, W. Pedrycz: On scalar products and decomposition theorems of fuzzy soft sets, Journal of Multi-valued Logic and Soft Computing, 25(2015), 45-80.
• C. Gundaz, S. Bayramov: Some results on fuzzy soft topological spaces, Mathematical Problems in Engineering, (2013), Article ID 935308, 10 Pages.
• S. Hussain, B. Ahmad : Some properties of soft topological spaces, Computers and Mathe- matics with Applications, 62(11) (2011) 4058-4067.
• S. Hussain, B. Ahmad : Soft separation axioms in soft topological spaces, Hacettepe Journal of Mathematics and Statistics, 44(3) (2015), 559-568.
• S. Hussain: A note on soft connectedness, Journal of Egyptian Mathematical Society, 23(1) (2015), 6-11.
• S. Hussain: On some soft functions, Mathematical Science Letters, 4(1) (2015), 55-61.
• S. Hussain: Properties of soft semi-open and soft semi-closed sets, Pensee Journal, 76(2)(2014), 133-143.
• S. Hussain: On some generalized structures in fuzzy soft topological spaces, Information Science Letters, 4(3)(2015), 107-115.
• S. Hussain: On weak and strong forms of fuzzy soft open sets, Fuzzy Information and Engineering, (8)(2016), 451-463.
• A. Z. Khameneh, A. Kilicman and A. R. Salleh: Fuzzy soft boundary, Annals of Fuzzy Mathematics and Informatics, 8(5)(2014), 687-703.
• Z. Kong, L. Gao, L. Wong, S. Li: The normal parameter reduction of soft sets and its algorithm, J. Comp. Appl. Math., 21 (2008), 941-945.
• B. Kostek: Soft set approach to subjective assesment of sound quality , Fuzzy Systems Proceeding, 1998, IEEE World Congress on Computational Intelligence, 4-9 May, 669- 674, 1998, DOI: 10.1109/FUZZY.1998.687568.
• P. K. Maji, R. Biswas, A. R. Roy: Soft set theory, Computers and Mathematics with Applications, 45(4-5) (2003), 555-562.
• P . K. Maji, R. Biswas, A. R. Roy: An application of soft sets in a decision making problem, Computers and Mathematics with Applications, 44(8-9) (2002), 1077-1083.
• P. K. Maji, R. Biswas, A. R. Roy: Fuzzy soft sets, J. Fuzzy Math., 9(3)(2001), 589-602.
• W. K. Min: Soft sets over a common topological universe, Jouranl of Intelligent and Fuzzy Systems, 26:2099(2014).
• D. Molodtsov: Soft set theory rst results, Computers and Mathematics with Applications, 37(4-5) (1999), 19-31.
• D. Molodtsov, V.Y. Leonov, D.V. Kovkov: Soft sets technique and its application, Nechetkie Sistemy i Myagkie Vychisleniya, 9(1)(2006), 28-39.
• M. Mushrif, S. Sengupta, A. K. Ray: Texture classication using a novel, soft set theory based classication algorithm, Springer Berlin, Heidelberg , 254-264(2006).
• G. J. Nazaro: Fuzzy topological polysystems, Journal of Mathematical Analysis and Ap- plications, 41(1973),734-742.
• D. Pie, D. Miao: From soft sets to information systems, X. Hu, Q. Liu, A. Skowron, Y. Y. Lin, R. R. Yager, B. Zhang(Eds.) Proceedings of Granular Computing Vol. 2, IEEE(2005), 2005, 617-621.
• M. Shabir, M. Naz: On soft topological spaces, Computers and Mathematics with Applica- tions, 61(7)(2011), 1786-1799.
• B. Tanay and M. B. Kandemir: Topological structure of fuzzy soft sets, Computers and Mathematics with Applications, 61(10)(2011), 2952-2957.
• B. P. Varol and H. Aygun: Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics, 41(3)(2012), 407-419.
• Z. Xio, L. Chen, B. Zhong, S. Ye: Recognition for information based on the theory of soft sets, J. Chen(Ed.), Procedding of ICSSSM-05, IEEE(2005), (2)(2005), 1104-1106.
• L. A. Zadeh: Fuzzy sets, Information and Control, 8(1996), 338-353.
• I. Zorlutana, N. Akdag, W. K. Min: Remarks on soft topological spaces, Annals of fuzzy Mathematics and Informatics, 3(2)(2012),171-185.