\شماره٪٪۱
Ataie-Ashtiani, B., Baratian-Ghorghi, Z. and Beheshti, A.A.
``Experimental investigation of clear-water local scour of compound
piers'', {\it Journal of Hydraulic Engineering}, {\bf 136}(6), pp. 343-351
(2010).
\شماره٪٪۲
Amini, A., Melville, B.W., Ali, T.M. and et al. ``Clear-water
local scour around pile groups in shallow-water flow'', {\it Journal
of Hydraulic Engineering}, {\bf 138}(2), pp. 177-185 (2011).
\شماره٪٪۳
Petersen, T.U., Sumer, B.M. and Fredsoe, J
``Edge scour at scour protections around piles
in the marine environment-Laboratory and field investigation'',
{\it Coastal Engineering}, {\bf 106}, pp. 42-72 (2015).
\شماره٪٪۴
Wang, H., Tang, H. and Liu, Q. ``Local scouring around
twin bridge piers in open-channel flows'', {\it Journal of Hydraulic
Engineering}, {\bf 142}(9), pp. 06016008-1-8 (2016).
\شماره٪٪۵
Oliveto, G. and Marino, M.C. ``Temporal scour evolution at non-uniform
bridge piers'', {\it In Proceedings of the Institution of Civil Engineers-Water
Management}, {\bf 170}(5), pp. 254-261 Thomas Telford Ltd (2016).
\شماره٪٪۶
Trent, R., Gagarin, N. and Rhodes, J. ``Estimating pier scour
with artificial neural networks'', {\it In Hydraulic Engineering},
{\bf 93}, pp. 1043-1048 (1993).
\شماره٪٪۷
Liriano, S.L. and Day, R.A. ``Prediction of scour depth at culvert
outlets using neural networks'', {\it Journal of Hydroinformatics},
{\bf 3}(4), pp. 231-238 (2001).
\شماره٪٪۸
Bateni, S.M. and Jeng, D.S. ``Estimation of pile group scour
using adaptive neuro-fuzzy approach'', {\it Ocean Engineering}, {\bf 34}(8),
pp. 1344-1354 (2007).
\شماره٪٪۹
Firat, M. and Gungor, M. ``Generalized regression neural networks
and feed forward neural networks for prediction of scour depth
around bridge piers'', {\it Advances in Engineering Software}, {\bf 40}(8),
pp. 731-737 (2009).
\شماره٪٪۱۰
Muzzammil, M. ``ANFIS approach to the scour depth prediction
at a bridge abutment'', {\it Journal of Hydroinformatics}, {\bf 12}(4), pp.
474-485 (2010).
\شماره٪٪۱۱
Najafzadeh, M., Barani, G.A. and Hessami Kermani, M.R. ``Abutment
scour in clear-water and live-bed conditions by GMDH network'',
{\it Water Science} \& {\it Technology}, {\bf 67}(5), pp.1121-1128 (2013).
\شماره٪٪۱۲
Azimi, H., Bonakdari, H., Ebtehaj, I. and et al.
``Evolutionary pareto optimization of an ANFIS
network for modeling scour at pile groups in clear water condition'',
{\it Fuzzy Sets and Systems}, {\bf 319}, pp. 50-69 (2017).
\شماره٪٪۱۳
Shabanlou, S., Azimi, H., Ebtehaj, I. and et al. ``Determining
the scour dimensions around submerged vanes in a 180 bend with
the gene expression programming technique'', {\it Journal of Marine
Science and Application}, {\bf 17}(2), pp. 233-240 (2018).
\شماره٪٪۱۴
Azimi, H., Bonakdari, H., Ebtehaj, I. and et al.
``A pareto design of evolutionary hybrid
optimization of ANFIS model in prediction abutment scour depth'',
{\it Sadhana}, {\bf 44}(7), p. 169 (2019).
\شماره٪٪۱۵
Jang, J.S.R. ``ANFIS: Adaptive-network-based fuzzy inference
system'', {\it IEEE Trans. Syst. Man. Cybern}, {\bf 23}(3), pp. 665-685.
(1993).
\شماره٪٪۱۶
Yang, X.S. ``Firefly algorithm (chapter 8)'', Nature-inspired
Metaheuristic Algorithms, Luniver Press (2008).
\شماره٪٪۱۷
Yang, X.S. ``Firefly algorithm, stochastic test functions
and design optimization'', {\it Int J Bio-Ins Comp}, {\bf 2}(2), pp. 78-84
(2010).
\شماره٪٪۱۸
Ataie-Ashtiani, B. and Beheshti, A.A. ``Experimental investigation
of clear-water local scour at pile groups'', {\it Journal of Hydraulic
Engineering}, {\bf 132}(10), pp. 1100-1104 (2006).