[1] A. A. Abdel-Hamid and N. N. Morsi, Associatively tied implications, Fuzzy Sets and Systems,
136(3) (2003), 291-311.
[2] K. Blount and C. Tsinakis, The structure of residuated lattices, International Journal of
Algebra and Computation, 13(4) (2003), 437-461.
[3] D. Boixader and J. Jacas, Extensionality based approximate reasoning, International Journal
of Approximate Reasoning, 19(3-4) (1998), 221-230.
[4] C. Cornelis, J. Medina, N. Verbiest, Multi-adjoint fuzzy rough sets: Definition, properties and
attribute selection, International Journal of Approximate Reasoning, 55(1)(2014), 412-426.
[5] J. C. Diaz and J. Medina, Multi-adjoint relation equations: Definition, properties and solu-
tions using concept lattices, Information Sciences, 253 (2013), 100-109.
[6] P. Flondor, G. Georgescu and A. Iorgulescu, Pseudo-t-norms and pseudo-BL algebras, Soft
Computing, 5(5) (2001), 355-371.
[7] N. Galatos, P. Jipsen, T. Kowalski and H. Ono, Residuated Lattices. An Algebraic Glimpse
at Substructural Logics, Elsevier, 2007.
[8] P. Hajek, Metamathematics of Fuzzy Logic, Kluwer Academic Publishers, Boston, 1998.
[9] P. Hajek, Observations on non-commutative fuzzy logic, Soft Computing, 8(1) (2003), 38-43.
[10] N. T. Hung and E. A. Walker, A First Course in Fuzzy Logic, CRC Press, Boca Raton, 1997.
[11] A. Khastan, I. Perfilieva and Z. Alizani, A new fuzzy approximation method to Cauchy
problems by fuzzy transform, Fuzzy Sets and Systems, 288 (2016), 75-95.
[12] M. Liu, D. Chen, C. Wu and H. Li, Approximation theorem of the fuzzy transform in fuzzy
reasoning and its application to the scheduling problem, Computers & Mathematics with
Applications, 51(3-4) (2006), 515-526.
[13] F. D. Martino, V. Loia and S. Sessa, Fuzzy transforms method in prediction data analysis,
Fuzzy Sets and Systems, 180(1) (2011), 146-163.
[14] J. Medina, M. Ojeda-Aciego and J. Ruiz-Calvino, Formal concept analysis via multi-adjoint
concept lattices, Fuzzy Sets and Systems, 160(2) (2009), 130-144.
[15] J. Medina, M. Ojeda-Aciego, A. Valverde and P. Vojtas, Towards biresiduated multi-adjoint
logic programming, Lecture Notes in Artificial Intelligence, 3040 (2004), 608-617.
[16] V. Novak, I. Perfilieva, M. Holcapek and V. Kreinovich, Filtering out high frequencies in
time series using F-transform, Information Sciences, 274 (2014), 192-209.
[17] I. Perfilieva, Fuzzy transforms: Theory and applications, Fuzzy Sets and Systems, 157(8)
(2006), 993-1023.
[18] I. Perfilieva, Fuzzy transforms and their applications to image compression, Lecture Notes in
Computer Science, 3849 (2006), 19-31.
[19] I. Perfilieva, Fuzzy transforms: A challenge to conventional transforms, Advances in Image
and Electron Physics, 147 (2007), 137-196.
[20] I. Perfilieva, Finitary solvability conditions for systems of fuzzy relation equations, Informa-
tion Sciences, 234 (2013), 29-43.
[21] I. Perfilieva, D. Dubois, H. Prade, F. Esteva, L. Godo and P. Hodakova, interpolation of
fuzzy data. analytical approach and overview, Fuzzy Sets and Systems, 192 (2012), 134-158.
[22] I. Perfilieva, M. Holcapek and V. Kreinovich, A new reconstruction from the F-transform
components, Fuzzy Sets and Systems, 288 (2016), 3-25.
[23] I. Perfilieva, V. Novak and A. Dvorak, Fuzzy transforms in the analysis of data, International
Journal of Approximate Reasoning, 48(1) (2008), 36-46.
[24] I. Perfilieva, A. P. Singh and S. P. Tiwari, On the relationship among F-transform, fuzzy
rough set and fuzzy topology, Soft Computing, 21(13) (2017), 3513-3521.
[25] I. Perfilieva and R. Valasek, Fuzzy transforms in removing noise, Advances in Soft Comput-
ing, 2 (2005), 221-230.
[26] E. H. Ruspini, On the semantics of fuzzy logic, International Journal of Approximate Rea-
soning, 5(1) (1993), 45-88.
[27] C. Russo, Quantale Modules with Applications to Logic and Image Processing, Lambert
Academic Publishers, Saarbrucken, 2009.
[28] C. Russo, Quantale modules and their operators, with applications, Journal of Logic and
Computation, 20(4) (2010), 917-946.
[29] A. P. Singh and S. P. Tiwari, F-transform based on generalized residuated lattices, Decision
Making and Soft Computing, 9 (2014), 720-725.
[30] L. Stefanini, F-transform with parametric generalized fuzzy partitions, Fuzzy Sets and Sys-
tems, 180(1) (2011), 98-120.
[31] M. Stepnicka and O. Polakovic, A neural network approach to the fuzzy transform, Fuzzy
Sets and Systems, 160(8) (2009), 1037-1047.
[32] O. Strauss, Non-additive interval-valued F-transform, Fuzzy Sets and Systems, 270 (2014),
1-24.
[33] L. Troiano and P. Kriplani, Supporting trading strategies by inverse fuzzy transform, Fuzzy
Sets and Systems, 180(1) (2011), 121-145.
[34] C. Y. Wang and B. Q. Hu, Fuzzy rough sets based on generalized residuated lattices, Infor-
mation Sciences, 248 (2013), 31-49.