Soft Sequences in Real Analysis

  • Authors

    • Abdulsattar Abdullah hamad
    • V. Amarendra Babu
    • . .
    2018-11-27
    https://doi.org/10.14419/ijet.v7i4.19.22008
  • limit superior, limit inferior, soft sequences, Soft set, soft real numbers

  • In This work is an attempt to present new class of limit soft sequence in the real analysis it is called ( limit inferior of soft sequence " and limit superior of soft sequence) respectively are introduced and given result an example with two new definitions and studied some of the properties of them are investigated.

     

  • References

    1. [1] Hac Aktas and Naim Cagman, (2007), Soft sets and soft groups, Informations Sciences,177, 2726-2735.

      [2] Atanassov K., Intuitionistic fuzzy sets, (1986), Fuzzy Sets and Systems, 20, 87-96.

      [3] Dubois D. and Prade H., (2008), Gradual elements in a fuzzy set, Soft Comput, 12, 165-175.

      [4] Fortin J., Dubois D. and Prade H., (2008), Gradual numbers and their applications to fuzzy interval analysis, IEEE Transaction of Fuzzy Systems, 16 (2), 388-402.

      [5] Klir G. J. and Yuan B., “Fuzzy sets and fuzzy logic, Theory and applicationsâ€, Prentice-Hall of India Pvt.Ltd., (1997).

      [6] Maji P. K., Biswas R. and Roy A. R., (2003), On soft set theory, Computers Math. Applic., 45, 555-562.

      [7] Maji P. K, Biswas R. and Roy A. R., (2001), Fuzzy soft sets, The Journal of fuzzy Math., 9 (3), 589-602.

      [8] Majumdar P. and Samanta S. K., (2008), Similarity measure of soft sets, World Scientific Publishing Compa Vol. 4, No.1, 1-12.

      [9] Molodtsov D., (1999), Soft set theory-first results, Computers Math. Applic, 37 (4/5), 19-31.

      [10] Pawlak Z., Rough sets, (1982), International Journal of Information and Computer Sciences, 11, 341-356.

      [11] Zadeh L.A., Fuzzy sets, (1965), Infor. And Control, 8, 338-353.

      [12] Karadogan A, (2008)Application of fuzzy set theory in the selection of underground mining method, Journal of the southern African institute of mining and metallurgy, vol. 108, pp. 73-79

      [13] Atagun A.O. and Sezgin A, (2011), Soft substructures of rings, fields and modules, Computers and Mathematics with applications 61, 592-601.

      [14] Sezgin A. and Atagun A. O. , (2011), On Operation of soft sets, Computers and Mathematics with applications 61, 1457- 1467

      [15] Kharal A . and Ahmad B, (2010), Mappings on soft classes, Inf. Sci ., INS-D-08-1231 by ESS, pp. 1-11

      [16] Chen D., Tsang E. C. C., Yeung D. S. and Wang X, (2005), The .parameterization reduction of soft sets and its application, Comp. Math. with appl. 45, 757-763.

      [17] Sut D.K.. (2012),An Application of Fuzzy Soft Relation in Decision Making Problems, Int. Journal of Mathematics Trends and Technology,Vol.3 Issue 2. 201-205

      [18] Feng F., Jun Y . B. and Zhao X.. (2008), Soft semi rings, Computers Math . Applic. 56, 2621-262.

      [19] Prade H. and Dubois D, “Fuzzy Sets and Systems: Theory and Applicationsâ€, Academic Press, London, 1980.

      [20] Zimmerman H.J, “Fuzzy Set Theory and Its Applicationsâ€, Kluwer Academic, Boston, MA, 1996.

      [21] ktas H.A and Cagman N.. (2007), Soft sets and Soft groups, Information Sciences 177, 2726-2735

      [22] Yang H.and Guo Z.. (2011), Kernels and closures of soft set relations, and soft set relation mappings, Comp. Math. Appl. 651-662

      [23] Ghosh J., Dinda B. and. Samanta T. K, (2011), Fuzzy Soft Rings and Fuzzy Soft Ideals, Int. J. Pure Appl. SCI. Technol., 2(2), pp. 66-74.

      [24] Zhou J., Li Y. and Yin Y, (2011), Intuitionistic fuzzy soft set semigroups, Mathematics Aeterna, vol. 1, No. 03, 173-183.

      [25] Atanassov K.. (1994), Operators over interval valued intuitionistic fuzzy sets, fuzzy sets and systems, 64, 159-174

      [26] Babitha K.V. and Sunil J.J. (2011), Soft sets relations and functions, Computers Math. Applic 60 , 1840- 1849.

      [27] Gong K., Xiao Z. and Zhang X. (2010), The bijective soft set with its operations, Computers and Math. Appl. 60, 2270- 2278.

      [28] Qin K.and Hon Z.. (2010), On soft equality . Computers Math . Appl . 234, 1347 -1355.

      [29] Irfan Ali M., Feng F., Liu X., Min W. K. and Shabir M, (2009), On some new operations in soft set theory, Comp. and Math . With appl. 57, 1547- 1553

      [30] Ozturk M.A . and Inan E.. (2011), Soft Γ - rings and idealistic soft Γ – rings, annals of fuzzy Mathematics and informatics volume 1, no. 1, pp. 71-80.

      [31] Mushrif M.M., Sengu pta S, and Ray A. K., (2006),Texture Classification Using A Novel, Soft Set Theory Based Classification Algorithm, LNCS 3851,pp. 246-254 2006

      [32] Cagman N., Citak F., and Enginogiu S.. (2011),FP-soft set theory and its applications , annals of fuzy math.infom.vol. 2,no.2,pp.219-226

      [33] Cagman N., Citakand F., Enginoglu S, (2010), fuzzy parameterized fuzzy soft set theory and its applications, journal of Turkish fuzzy systems association. vol.1.no.1,pp.21-35.

      [34] Hassan R.N., Tantawy O.A, (2016), Soft Real Analysis, journal of progressive Research in Mathematics.vol 8,issue 1, 65-69

      [35] Das S., samanta S.k., (2012), soft real sets, soft real numbers and their properties, Journal of fuzzy mathematics vol.20,N0.3, 551

      [36] Maji P.K., ROY AR.and Biswas. R, (2002), An application of soft set in a decision making problem computers and mathematics with application 44(8/9),1077-1083.

      [37] Mane maran (2011), .on fuzzy soft groups Int, journal of comp.Applications , vol.15,no7, 38

      [38] Alkhazaleh.A.salleh and hassan N., (2011), Soft maltiset theory, Applied mathematical sciences, vol.5,No72 ,3561-3573.2011.

      [39] Herawan T., Ghazali R.and Deris M.M.D (2010), Soft set theoretic approach for dimensionality reduction , Information journal of Database theory and Application vol.3 , No.2,47-60

      [40] Xu W. (2010), Vague soft sets and their properties, Computers and mathematics with applications 59 , 787-794,.

      [41] Ge X .and yan S., (2011), Investigation on some operation of soft sets . word academy of science,eng. And tech . 75, 1113 – 1116.

      [42] Jun Y.B., Kimand H.S, Park C.H (2011), Positive implicative ideals of BCK-algabras based on soft set theory, Bull.malays .math.sci-soc. 34 (2),345-354

      [43] Jun Y.B., Lee K.J.and Park C.H.. (2008), Soft set theory applied to commutative ideals in BCK-Algabras J.Appl.math.and informatics, vol.26 , no,3-4,pp 707-720.

      [44] Pawlak Z., Hard And soft sets, proceeding of the international Eworkshop on Rough sets and knowledge Discovery, Banff,1993

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    Abdullah hamad, A., Amarendra Babu, V., & ., . (2018). Soft Sequences in Real Analysis. International Journal of Engineering & Technology, 7(4.19), 32-35. https://doi.org/10.14419/ijet.v7i4.19.22008