Abstract
Based on fuzzy inclusion order between
Get full access to this article
View all access options for this article.
References
1.
C.L.
Chang
, Fuzzy topological spaces , J Math Anal Appl 24 (1968 ), 182 –190 .
2.
J.M.
Fang
, Stratified L-ordered convergence structures , Fuzzy Sets Syst 161 (2010 ), 2130 –2149 .
3.
J.M.
Fang
, Relationships between L-ordered convergence structures and strong L-topologies , Fuzzy Sets Syst 161 (2010 ), 2923 –2944 .
4.
J.M.
Fang
, Lattice-valued semiuniform convergence spaces , Fuzzy Sets Syst 195 (2012 ), 33 –57 .
5.
J.M.
Fang
, Stratified L-ordered quasiuniform limit spaces , Fuzzy Sets Syst 227 (2013 ), 51 –73 .
6.
J.M.
Fang
, Lattice-valued preuniform convergence spaces , Fuzzy Sets Syst 251 (2014 ), 52 –70 .
7.
U.
Höhle
and
A.P.
Šostak
, Axiomatic foudations of fixed-basis fuzzy topology, in:
U.
Höhle
and
S.E.
Rodabaugh
(Eds.), Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Handbook Series , vol. 3 , Kluwer Academic Publishers , Boston, Dordrecht, London , 1999 , pp. 123 –173 .
8.
U.
Höhle
, Characterization of L-topologies by L-valued neighborhoods , chapter 5 , in [7] , pp. 389 –432 .
9.
G.
Jäger
, A category of L-fuzzy convergence spaces , Quaest Math 24 (2001 ), 501 –517 .
10.
G.
Jäger
, Subcategories of lattice-valued convergence spaces , Fuzzy Sets Syst 156 (2005 ), 1 –24 .
11.
G.
Jäger
, Lattice-valued convergence spaces and regularity , Fuzzy Sets Syst 159 (2008 ), 2488 –2502 .
12.
G.
Jäger
and
M.H.
Burton
, Stratified L-uniform convergence spaces , Quaest Math 28 (2005 ), 11 –36 .
13.
G.
Jäger
, Lattice-valued Cauchy spaces and completion , Quaest Math 33 (2010 ), 53 –74 .
14.
T.
Kubiak
, On fuzzy topologies , Ph.D. Thesis , Adam Mick-iewicz , Poznan, Poland , 1985 .
15.
L.Q.
Li
and
Q.
Jin
, On adjunctions between Lim, SL-Top, and SL-Lim , Fuzzy Sets Syst 182 (2011 ), 66 –78 .
16.
L.Q.
Li
,
Q.
Jin
and
K.
Hu
, On stratified L-convergence spaces: Fischer’s diagonal axiom , Fuzzy Sets Syst 267 (2015 ), 31 –40 .
17.
L.Q.
Li
,
Q.
Jin
,
G.W.
Meng
and
K.
Hu
, The lower and upper p-topological (pregular) modifications for lattice-valued convergence spaces , Fuzzy Sets Syst 282 (2016 ), 47 –61 .
18.
B.
Pang
, The category of stratified L-filter spaces , Fuzzy SetsSyst 247 (2014 ), 108 –126 .
19.
B.
Pang
, Degrees of separation properties in stratified L-generalized convergence spaces using residual implication , Filomat 31 (20 ) (2017 ), 6293 –6305 .
20.
B.
Pang
, Stratified L-ordered filter spaces , Quaest Math 40 (5 ) (2017 ), 661 –678 .
21.
Pang
B.
, Categorical properties of L-fuzzifying convergence spaces , Filomat 32 (11 ) (2018 ), 4021 –4036 .
22.
B.
Pang
and
F.-G.
Shi
, Subcategories of the category of L-convex spaces , Fuzzy Sets Syst 313 (2017 ), 61 –74 .
23.
B.
Pang
and
F.-G.
Shi
, Strong inclusion orders between L-subsets and its applications in L-convex spaces , Quaest Math 41 (8 ) (2018 ), 1021 –1043 .
24.
Pang
B.
and
Shi
F.-G.
, Fuzzy counterparts of hull spaces and interval spaces in the framework of L-convex spaces , Fuzzy Sets Syst 369 (2019 ), 20 –39 .
25.
B.
Pang
and
Z.-Y.
Xiu
, Lattice-valued interval operators and its induced latticevalued convex structures , IEEE T Fuzzy Syst 26 (3 ) (2018 ), 1525 –1534 .
26.
B.
Pang
and
Z.-Y.
Xiu
, Stratified L-prefilter convergence structures in stratified L-topological spaces , Soft Comput 22 (2018 ), 7539 –7551 .
27.
B.
Pang
and
Z.-Y.
Xiu
, An axiomatic approach to bases and subbases in L-convex spaces and their applications , Fuzzy Sets Syst 369 (2019 ), 40 –56 .
28.
B.
Pang
and
Y.
Zhao
, Characterizations of L-convex spaces , Iran J Fuzzy Syst 13 (4 ) (2016 ), 51 –61 .
29.
M.V.
Rosa
, On fuzzy topology fuzzy convexity spaces and fuzzy local convexity , Fuzzy Sets Syst 62 (1994 ), 97 –100 .
30.
A.P.
Šostak
, On a fuzzy topological structure , Suppl Rend Circ Mat Palermo Ser II 11 (1985 ), 89 –103 .
31.
W.J.
Wang
and
J.M.
Fang
, L-ordered level uniform limit spaces , Journal of Sichuan Normal University (Natural Science) 1 (2019 ), 30 –34 .
32.
W.C.
Wu
and
J.M.
Fang
, L-ordered fuzzifying convergence spaces , Iran J Fuzzy Syst 9 (2 ) (2012 ), 147 –161 .
33.
Z.-Y.
Xiu
and
B.
Pang
, Base axioms and subbase axioms in M-fuzzifying convex spaces , Iran J Fuzzy Syst 15 (2 ) (2018 ), 75 –87 .
34.
W.
Yao
, On L-fuzzifying convergence spaces , Iran J Fuzzy Syst 6 (1 ) (2009 ), 63 –80 .