On Some Properties of Fuzzy Soft almost Soft Continuous Mappings

Hussain, Sabir

doi:10.1515/mjpaa-2017-0011

Abstract

In this paper, we initiate and explore the interesting characterizations and properties of fuzzy soft almost soft continuous mappings in fuzzy soft classes. We also study and discuss the notions of fuzzy soft almost soft open(closed) mappings. Moreover the characterizations of composition of two fuzzy soft almost soft mappings are also studied. We hope that the findings in this paper will be useful for the researchers working in the fields such as fuzzy control systems, fuzzy automata, fuzzy logic, information systems and decision making problems.

References

[1] B. Ahmad, A. Kharal: Mappings on fuzzy soft classes, Advances in Fuzzy Systems, (2009), Article ID 407890, 6 Pages.
Search in Google Scholar Back to article
[2] B. Ahmad, S. Hussain : On some structures of soft topology, Mathematical Sciences,6(64)(2012), 7 Pages.10.1186/2251-7456-6-64
Search in Google Scholar Back to article
[3] C. L. Chang: Fuzzy topological spaces, Journal of Mathematical Analysis and Applications,24(1)(1968), 182—190.10.1016/0022-247X(68)90057-7
Search in Google Scholar Back to article
[4] B. Chen: Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics Information Sciences,7(1)(2013), 287—294.10.12785/amis/070136
Search in Google Scholar Back to article
[5] B. Chen: Soft local properties of soft semi-open sets, Discrete Dynamics in Nature and Society, Vol. 2013, Article ID 298032, 6 pages.10.1155/2013/298032
Search in Google Scholar Back to article
[6] S. Du, Q. Qin, Q. Wang, and B. Li: Fuzzy description of topological relations I: a unified 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.
Search in Google Scholar Back to article
[7] F. Feng, Y. M. Li: Soft subsets and soft product operations, Information Sciences,232(2013), 44—57.10.1016/j.ins.2013.01.001
Search in Google Scholar Back to article
[8] 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—170.10.1016/j.ejor.2012.01.015
Search in Google Scholar Back to article
[9] 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—292.10.1016/j.knosys.2014.07.010
Search in Google Scholar Back to article
[10] 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.
Search in Google Scholar Back to article
[11] C. Gundaz, S. Bayramov: Some results on fuzzy soft topological spaces, Mathematical Problems in Engineering, (2013), Article ID 935308, 10 Pages.
Search in Google Scholar Back to article
[12] S. Hussain, B. Ahmad : Some properties of soft topological spaces, Computers and Mathematics with Applications,62(11) (2011) 4058—4067.
Search in Google Scholar Back to article
[13] S. Hussain, B. Ahmad : Soft separation axioms in soft topological spaces, Hacettepe Journal of Mathematics and Statistics,44(3) (2015), 559—568.10.15672/HJMS.2015449426
Search in Google Scholar Back to article
[14] S. Hussain: A note on soft connectedness, Journal of Egyptian Mathematical Society,23(1) (2015), 6—11.10.1016/j.joems.2014.02.003
Search in Google Scholar Back to article
[15] S. Hussain: On some soft functions, Mathematical Science Letters,4(1) (2015), 55—61.
Search in Google Scholar Back to article
[16] S. Hussain: Properties of soft semi-open and soft semi-closed sets, Pensee Journal,76(2)(2014), 133—143.
Search in Google Scholar Back to article
[17] S. Hussain: On some generalized structures in fuzzy soft topological spaces, Information Science Letters,4(3)(2015), 107—115.
Search in Google Scholar Back to article
[18] S. Hussain: On weak and strong forms of fuzzy soft open sets, Fuzzy Information and Engineering,8(2016), 451—463.10.1016/j.fiae.2017.01.005
Search in Google Scholar Back to article
[19] S. Hussain : On fuzzy soft semi-pre-open sets and fuzzy soft semi-pre-continuous mappings, Hacettepe Journal of Mathematics and Statistics,46(5)(2017), 851—864.10.15672/HJMS.2017.475
Search in Google Scholar Back to article
[20] A. Z. Khameneh, A. Kilicman and A. R. Salleh: Fuzzy soft boundary, Annals of Fuzzy Mathematics and Informatics,8(5)(2014), 687—703.
Search in Google Scholar Back to article
[21] Z. Kong, L. Q. Gao, L. F. Wong: Comment on a fuzzy soft set theoretic approach to decision making problems, J. Comp. Appl. Math.,223 (2009), 540—542.10.1016/j.cam.2008.01.011
Search in Google Scholar Back to article
[22] P. K. Maji, R. Biswas, A. R. Roy: Soft set theory, Computers and Mathematics with Applications45(4-5) (2003), 555—562.10.1016/S0898-1221(03)00016-6
Search in Google Scholar Back to article
[23] P. K. Maji, R. Biswas, A. R. Roy: Fuzzy Soft sets, J. Fuzzy Maths.,9(3) (2001), 589—602.
Search in Google Scholar Back to article
[24] D. Molodtsov: Soft set theory first results, Computers and Mathematics with Applications,37(4-5) (1999), 19—31.10.1016/S0898-1221(99)00056-5
Search in Google Scholar Back to article
[25] D. Molodtsov, V. Y. Leonov, D. V. Kovkov: Soft sets technique and its application, Nechetkie Sistemy i Myagkie Vychisleniya,9(1)(2006), 28—39.
Search in Google Scholar Back to article
[26] G. J. Nazaroff: Fuzzy topological polysystems, Journal of Mathematical Analysis and Applications,41(1973),734—742.10.1016/0022-247X(73)90222-9
Search in Google Scholar Back to article
[27] 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.
Search in Google Scholar Back to article
[28] M. Shabir, M. Naz: On soft topological spaces, Computers and Mathematics with Applications,61(7)(2011), 1786—1799.10.1016/j.camwa.2011.02.006
Search in Google Scholar Back to article
[29] B. Tanay and M. B. Kandemir: Topological structure of fuzzy soft sets, Computers and Mathematics with Applications,61(10)(2011), 2952—2957.10.1016/j.camwa.2011.03.056
Search in Google Scholar Back to article
[30] B. P. Varol and H. Aygun: Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics,41(3)(2012), 407—419.
Search in Google Scholar Back to article
[31] L. A. Zadeh: Fuzzy sets, Information and Control,8(1996),338—353.10.1016/S0019-9958(65)90241-X
Search in Google Scholar Back to article

On Some Properties of Fuzzy Soft almost Soft Continuous Mappings

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