FUZZY IMPLICATIVE FILTERS OF BE-ALGEBRAS BASED ON THE THEORY OF FALLING SHADOWS
Abstract
Based on the idea of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative filter of a BE-algebra is introduced. Relations between fuzzy implicative filters and falling fuzzy implicative filters are provided.
Keywords
Keywords
Full Text:
PDFReferences
R.K. Bandaru, N.Rafi and B. Davvaz, Fuzzy filters of BE-algebras based on the theory of falling shadows (submitted for publication).
G. Dymek, A. Walendziak, Fuzzy Filters of BE-algebras, Math.Slovaca
(2013), No.5, 935-946.
I.R. Goodman, Fuzzy sets as equivalent classes of random sets, In Recent Developments in Fuzzy Sets and Possibility Theory(R.Yager, ed.), Pergamon Press, New York(1982).
Y.B.Jun, M.S.Kang, Fuzzy positive implicative ideals of BCK-algebras based on the theory of falling shadows, Computers and Mathematics with Applications, 61(2011),no.1, 62-67.
Y.B.Jun, C.H.Park, Falling shadows applied to subalgebras and ideals of BCK/BCI-algebras, Honam Mathematical J.34(2012), No.2, pp.135-144.
H.S.Kim, Y.H.Kim, On BE-algebras, Sci.Math.Jpn. 6(2007),no.1, 113-116.
S.K.Tan, P.Z.Wang, X.Z.Zhang, Fuzzy inference relation based on the theory of falling shadows, Fuzzy Sets and Systems 53(1993) 179-188.
S.K.Tan, P.Z.Wang, E.S.Lee, Fuzzy set operations based on the theory of falling shadows, J.Math.Anal.Appl. 174(1993)242-255.
P.Z.Wang, Fuzzy Sets and Falling Shadows of Random Sets, Beijing Normal University Press,(China, 1985)(in Chinese).
P.Z.Wang, E.Sanchez, Treating a fuzzy subset as a projectable random set, in Fuzzy Information and Decision. M.M.Gupta, E. Sanchez(eds.), Pergamon Press, 212-219(1982).
J.Zhan, D.Pci, Y.B.Jun, Falling fuzzy (implicative) filters of R0-
algebras and its applications, J.Intell.Fuzzy Systems, 24(2013),611-618.
DOI: https://doi.org/10.22190/FUMI1801031B
Refbacks
- There are currently no refbacks.
ISSN 0352-9665 (Print)