You are here

(L,⊙)-fuzzy topologies induced by functions

Journal Name:

Publication Year:

Author Name
Abstract (2. Language): 
In this paper, we investigate the properties of (L,⊙)-fuzzy topologies and (L,⊙)-filters induced by functions on strictly two-sided, commuta- tive quantale lattices (L,⊙) and (L, ∗). Furthermore, we study their convergence and functorial relations
31-42

REFERENCES

References: 

[1] M.H.Burton, M.Muraleetharan and J.Gutierrez Garcia, Generalised filters
1, Fuzzy Sets and Systems, 106(1999), 275-284.
[2] M.H.Burton, M.Muraleetharan and J.Gutierrez Garcia, Generalised filters
2, Fuzzy Sets and Systems, 106(1999), 393-400.[3] M. Demirci, Neighborhood structures in smooth topological spaces, Fuzzy
Sets and Systems, 92(1997), 123-128.
[4] W.G¨ahler, The general fuzzy filter approach to fuzzy topology I, Fuzzy
Sets and Systems, 76(1995), 205-224.
[5] W. G¨ahler, The general fuzzy filter approach to fuzzy topology II, Fuzzy
Sets and Systems, 76(1995), 225-246.
[6] U.H¨ohle and A.P.Sostak, Axiomatic foundation of fixed-basis fuzzy topology,
Chapter 3 in Mathematics of Fuzzy Sets, Logic, Topology and Measure
Theory, Handbook of fuzzy set series, Kluwer Academic Publisher,
Dordrecht, 1999.
[7] G. J¨ager, Pretopological and topological lattice-valued convergence
spaces, Fuzzy Sets and Systems, 158(2007), 424-435.
[8] Y.C. Kim and J.M. Ko, Images and preimages of L-filter bases, Fuzzy Sets
and Systems, 173(2005), 93-113.
[9] Y.C. Kim and Y.S. Kim, (L,⊙)-fuzzy topologies induced by (L,⊙)-filters,
International Mathematical Forum, 4(27)(2009), 1337-1345.
[10] Y.C. Kim, The properties of (L,⊙)-filters, Int. J. Contemp. Math. Sci-
ences, 7(13)(2012), 630-640.

Thank you for copying data from http://www.arastirmax.com