Computer Science & Electrical

Computer Science & Electrical


Pages: 0  ,  Volume: 1  ,  Issue: 1 , September   2017
Received: 05 Sep 2017  ,  Published: 10 October 2017
Views: 172  ,  Download: 53


# Author Name
1 R.Nagarajan


In this paper, we introduce a new kind of action on a soft ring called lattice  fuzzy soft intersection action on a  ring. We then focused on the concepts of  lattice  fuzzy soft intersection action  on  a  ideal  ,  sum,  difference,  product  of two soft  sets,  negation  of  a  soft  set.  Also,  we derive its various related properties. We then study and discuss its structural characteristics.


  • Soft sets
  • Lattice ordered group
  • L-fuzzy soft set
  • L- fuzzy soft intersection action on a soft ring
  • L- fuzzy soft intersection action on ideal
  • Homomorphisms of L-fuzzy soft intersection
  • t-inclusion
  • References

    [1] M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir,“  On  some  new  operations  in  soft  set 
    theory”, Comput.Math. Appl. 57 (2009) 1547-1553. 
    [2] M.I. Ali, “A note on soft sets, rough soft sets and fuzzy  soft sets” Appl. Soft. Comput.  11 
    (2011) 3329-3332. 
    [3] H. Akta? and N. Ça?man, “Soft sets and soft groups”,  Inform.  Sciences  177  (2007)  2726-
    [4] A. Aygüno?lu and H. Aygün, “Introduction to fuzzy soft groups”, Comput. Math. Appl. 58 
    (2009) 1279-1286. 
    [5]  G.  Birkhof,  Lattice  Theory  (Volume  XXV),  American  Mathematical  Society  Colloquium 
    Publications, (1940).  
    [6] J.A. Goguen, L-fuzzy sets, J. Math. Anal. Appl., 18(1967), 145-174.  
    [7] N. Ça?man and S. Engino?lu, “Soft set theory and uni  int  decision making”, Eur. J. Oper. 
    Res. 207(2) (2010),848-855. 
    [8] N. Ça?man, F. Ç?tak and S. Engino?lu, “Fuzzy parameterized fuzzy soft set theory and its 
    applications”, Turk. J. Fuzzy Syst. 1 (2010) 21-35. 
    [9] N.Ça?man and S. Engino?lu and F. Ç?tak, “Fuzzy Soft  Set Theory and Its Applications”, 
    Iran. J. Fuzzy Syst.8(3) (2010) 137-147 . 

    [10] F. Feng, Y. B. Jun and X. Zhao, “Soft semi rings”,Comput. Math. Appl. 56/10 (2008) 2621-
    [11]  F.  Feng,  Y.B.  Jun,  X.  Liu  and  L.  Li,  “An  adjustable  approach  to  fuzzy  soft  set  based 
    decision making”, J.Comput. Appl. Math. 234 (2010) 10-20. 
    [12] F. Karaaslan, N. Ça?man, “Soft lattices”, J. New Results in Science 1.(2012) 5-17. 
    [13] F. Li, “Soft lattices”, Glob. J. Sci. Front Res. 10/14(2010)56-58. 
    [14] E. ?nan and M.A. Öztürk, “Fuzzy soft rings and fuzzy  soft ideals”, Neural Comput. Appl. 
    [15] Y.B. Jun, “Soft BCK/BCI-algebras”, Comput. Math.Appl. 56 (2008) 1408- 1413. 
    [16] Y.B. Jun and C. H. Park, “Applications of soft sets in ideal theory of BCK/BCI-algebras”, 
    Inform. Sciences178 (2008) 2466-2475. 
    [17] Y.B. Jun, K.J. Lee and C. H. Park, “Soft Set Theory  Applied  To  Com-mutative  Ideals  In 
    BCK-Algebras”, J.Appl. Math. and Inform. 26 (2008) 707-720. 
    [18] Y.B. Jun and C. H. Park, “Applications of soft sets in Hilbert algebras”,Iran. J Fuzzy Syst. 
    6/2 (2009) 75-88. 
    [19]  Y.B.  Jun,  K.J.  Lee  and  C.  H.  Park,  “Soft  set  theory  applied  to  ideals  in  d-algebras”, 
    Comput.Math. Appl.57 (2009) 367-378. 
    [20] P.K. Maji, R. Biswas and A.R. Roy, “Fuzzy soft sets”, J. Fuzzy Math. 9/3 (2001) 589-602. 
    [21] P.K. Maji, R. Biswas and A.R. Roy, “Soft set theory”, Comput. Math. Appl. 45 (2003) 555-
    [22] M. Marudai and V. Rajendran, “New Construction of Fuzzy Soft Lattices,” Int. J. Comput. 
    Appl. 231,(2011) 0975-8887. 
    [23] D.A. Molodtsov, “Soft set theory-first results”, Comput. Math. Appl. 37 (1999) 19-31. 
    [24]  V.  Murali,  Lattice  of  fuzzy  algebras  and  closure  systems  in  IX,  Fuzzy  Sets  and  Systems, 
    41(1991), 101-111. 
    [25] D. Pei and D. Miao, “From soft sets to information systems”, In: X. Hu, Q.Liu, A. Skowron, 
    T.Y. Lin, R.R. Yager, B.Zhang (Eds.), Proceedings of Granular Computing, IEEE 2 (2005) 617-
    [26] K. Qin, Z. Hong, “On soft equality”, J. Comput. Appl. Math. 234 (2010) 1347-1355. 
    [27]  A.R.  Roy  and  P.K.  Maji,  “A  fuzzy  soft  set  theoretic  approach  to  decision  making 
    problems”, J. Comput. Appl. Math. 203 (2007) 412-418.  

    [28] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35(1971), 512-517. 
    [29] G.S.V.S. Saibaba, Fuzzy lattice ordered groups, Southeast Asian Bulletin of Mathematics   
    , 32(2008), 749-766.  
    [30] Z. Xiao, Y. Li, B. Zhong and X. Yang, “Research on  synthetically  evaluating  method  for 
    business competitive capacity based on soft set”, Stat. Methods. Med. Res. (2003) 52-54. 
    [31] Z. Xiao, L. Chen, B. Zhong and S. Ye, “Recognition  for  soft  information  based  on  the 
    theory of soft sets”, In: J. Chen (Ed.), Proceedings of ICSSSM-05, 2 (2005) 1104-1106. 
    [32] Z. Xiao, K. Gong and Y. Zou, A combined forecasting approach based on fuzzy soft sets, J. 
    Comput. Appl. Math. 228 (2009) 326-333. 
    [33] L.A. Zadeh, “Fuzzy Sets”, Inform. and Control 8 (1965) 338-353.