New Construction of Fuzzy Soft Lattices

In this paper, we study M oldtsov notion of soft set and fuzzy soft set considering the fact that the parameters are mostly fuzzy hedges or fuzzy parameters. We also, study the notion of fuzzy soft lattice on groups, homomorphic image, preimage of fuzzy soft lattices, arbitrary family of fuzzy soft lattices and fuzzy normal soft lattices using T-norms. Also the notion of sensible fuzzy soft lattice in groups and some related properties on it are investigated.

[1]  Sarita Agarwal,et al.  Global Journal of Science Frontier Research , 2010 .

[2]  D. Molodtsov Soft set theory—First results , 1999 .

[3]  Athar Kharal,et al.  On Fuzzy Soft Sets , 2009, Adv. Fuzzy Syst..

[4]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[5]  Naim Çagman,et al.  Soft sets and soft groups , 2007, Inf. Sci..

[6]  Pabitra Kumar Maji,et al.  FUZZY SOFT SETS , 2001 .

[7]  M. Marudai,et al.  Characterization of Fuzzy Lattices on a Group with Respect to T-Norms , 2010 .

[8]  Bingxue Yao,et al.  Fuzzy soft sets and fuzzy soft groups , 2008, 2008 Chinese Control and Decision Conference.

[9]  Halis Aygün,et al.  Introduction to fuzzy soft groups , 2009, Comput. Math. Appl..

[10]  A. R. Roy,et al.  Soft set theory , 2003 .

[11]  Young Bae Jun,et al.  Soft semirings , 2008, Comput. Math. Appl..