Flexible Fuzzy Softification of Group Structures

V. Vanitha¹ , G. Subbiah² , M. Navaneethakrishnan³

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.389-394, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.389394

Online published on Aug 31, 2018

Copyright © V. Vanitha, G. Subbiah, M. Navaneethakrishnan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

553 Views    248 Downloads    85 Downloads

Abstract :
In this paper, we introduce the concept of upper t-subgroups of a flexible fuzzy soft intersection group (FFSIG) and investigate various structures of flexible fuzzy soft intersection groups related to upper t- subgroups with suitable example.

Key-Words / Index Term :
soft set, fuzzy soft set, soft int-group, upper t-subgroup, flexible fuzzy set, inclusion, relative complement

References :
[1]. AcarU, Koyuncu F, and Tanay B, (2010), Soft sets and soft rings. Computers and Mathematics with Applications, 59: 3458- 3463.
[2]. Aktas H and Cagman N, (2007), Soft sets and soft groups, Information Sciences, 1: 2726-2735.
[3]. Ali M. I, Feng F, Lui X, Min W. K and Shabir M, (2009), On some new operations in soft set theory, Computers and Mathematics with Applications, 57: 1547- 1553.
[4]. Atagun A. O and Sezgin A, (2011), Soft substructures of rings, fields and modules. Computers and Mathematics with Applications, 61: 592- 601.
[5]. Feng F, Jun Y. B and Zhao X, (2008), Soft semirings. Computers and Mathematics with Applications, 56: 2621- 2628.
[6]. Feng F and Li Y, (2013), Soft subsets and Soft product operations. Information Science, 232:44-57.
[7]. Jun Y.B, (2008), Soft BCK/BCI-algebras, Computers and Mathematics with Applications, 56: 1408-1413.
[8]. Jun Y.B and Park C.H, (2008), Applications of soft sets in ideals theory of BCK/BCI- algebras, Information Sciences, 178: 2466-2475.
[9]. Jun Y.B , Kim H.S and Park C.H, (2011), Positive implicative ideals of BCKalgebras based on a soft set theory, Bulletin of the Malaysian Mathematical Science, Society, 34(2): 345-354.
[10]. Maji P. K, Biswas R, and Roy A. R, (2001), Intuitionistic fuzzy soft sets. The Journal of Fuzzy Mathematics, 9(3): 677-693.
[11]. Maji P.K, Biswas R and Roy A.R, (2002), An application of soft sets in a decisions making problems, Computers and Mathematics with Applications, 44: 1077- 1083.
[12]. Maji P.K, Biswas R and Roy A.R, (2003), Soft set theory. Computers and Mathematics with Applications, 45: 555-562.
[13]. Molodtsov D, (1999), Soft set Theory-First results, Computers and Mathematics with Applications, 37: 19-31.
[14]. Sezgin A and Atagun A.O, (2011A), On operations of soft sets. Computers and Mathematics with Applications, 60: 1840-1849.
[15]. Sezgin A and Atagun A.O, (2011B), Soft groups and normalistic soft group. Computers and Mathematics with Applications, 62: 685-698.
[16]. V.Vanitha, G.Subbiah and M.NavaneethaKrishnan, On flexible fuzzy subgroups with flexible fuzzy order, international research journal of pure algebra-6(11),2016, 436-442.
[17]. Zadeh L.A,(1965), Fuzzy sets. Information and Control, 8: 338-353.