On fuzzy soft convergence

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-51 Number-5
Year of Publication : 2017
Authors : Kumud Borgohain
  10.14445/22315373/IJMTT-V51P542

MLA

Kumud Borgohain "On fuzzy soft convergence", International Journal of Mathematics Trends and Technology (IJMTT). V51(5):317-320 November 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this research paper, we continue the study on fuzzy soft Filters and Nets investigate the properties and theorems of fuzzy soft Frechet Filter, fuzzy soft Union and Intersection filters, Fuzzy soft Supremum, Fuzzy soft Infinimum of the set of filters. Then discuss the fuzzy soft directed system and define and discuss the proportions of fuzzy soft Cluster point of a net. Which are important for further research on soft topology. This research not only can form the theoretical basis for further application of topology on soft sets but also learn about the practical applications of modeling and simulation in diverse area of Engineering.

Reference
[1] B. Ahmed and A. Kharal, “On Fuzzy Soft Sets” Advance in Fuzzy System, PP 1-6, 2009.
[2] C.L. Chang, “Fuzzy Topological Space” J.Math Anal.Appli Vol(24) PP182-190, 1968.
[3] D. Molodtsov. “Soft set theory – First results" Copmt. Math.Appli Vol.37 PP19-31.
[4] D.Pei, D .Miao “From soft sets to information system” in X. Hu. Q.Liu,A .Skowron. T.Y .Lin,R.R. Yager, B. Zhang(Eds) Proceeding of Granular Computing Vol.2 IEEE, PP 617-621, 2005.
[5] D.Coker “An introduction to intuitionistic fuzzy topological space” Fuzzy sets and Systems Vol.88 No.1 PP 81-89, 1997.
[6] G.N. Miliars. “ Weak Types of Compactness” J. Math Comput. Sci No.5, PP. 1328-1334,2012.
[7] K. Borgohain, “Fuzzy Soft Separation Axioms” Int. J. of Multidisciplinary Ed. Research” Vol.3,Issue 1(3),PP 93-98 January’2014.
[8] K. Borgohain, “Fuzzy Soft Compact Spaces” Int. J. Mathematics Trend and Technology. Vol.5,pp 6-9, January’2014.
[9] K. Borgohain “Some New Operation on Fuzzy Soft Sets”. International Journal of Modern Engineering Research, Page No.65-68, Vol.4 Issue.4 April’2014.
[10] K. Borgohain “New Concept of Fuzzy Soft topological Space” International Journal of Multidisciplinary Education Research” Vol.5,Issue 1(4),PP 157-165 January’2016.
[11] L.A. Zadeh “ Fuzzy Sets’ Information and Control, 8,338-353,1965.
[12] P.k. Maji, A.R. Roy, R. Biswas. “ An application of soft sets in decision making problem” Comput. Math. Appl. Vol. 44 PP1077-1083,2002.
[13] R. Srivastava and M. Srivastava “On pairwise Hausedorff fuzzy bi -topological spaces” Journal of Fuzzy Mathematics Vol.5 Pp 553-564,1997.
[14] T. Simsekler, S. Yuksel. “ Fuzzy Soft topological Space” Annals of Fuzzy Mathematics and informatics. Vol.5 No.1 PP87-96 Jan 2013.
[15] T. J. Neog, D. k. Sut, G. C. Hazarika “ Fuzzy soft topological Space” Int. J. Latest Trend Math Vol.2 No.1 pp 54-67 March’ 2012.

Keywords
Fuzzy soft sets, Fuzzy soft Filter, Fuzzy soft Nets, Fuzzy soft Cluster point, Fuzzy soft union.