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Gleb Beliakov
Person information

- affiliation: Deakin University, School of Information Technology, Geelong, Australia
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2020 – today
- 2023
- [i7]Marek Gagolewski, Anna Cena, Simon James, Gleb Beliakov:
Hierarchical Clustering with OWA-based Linkages, the Lance-Williams Formula, and Dendrogram Inversions. CoRR abs/2303.05683 (2023) - 2022
- [j129]Gleb Beliakov:
Knapsack problems with dependencies through non-additive measures and Choquet integral. Eur. J. Oper. Res. 301(1): 277-286 (2022) - [j128]Gleb Beliakov
, Enrique de Amo, Juan Fernández-Sánchez
, Manuel Úbeda-Flores
:
Best-possible bounds on the set of copulas with a given value of Spearman's footrule. Fuzzy Sets Syst. 428: 138-152 (2022) - [j127]Gleb Beliakov
, Enrique de Amo, Juan Fernández-Sánchez
, Manuel Úbeda-Flores
:
Correction: "Best-possible bounds on the set of copulas with a given value of Spearman's footrule" [Fuzzy Sets Syst. 428 (2022) 138-152]. Fuzzy Sets Syst. 428: 153-155 (2022) - [j126]Gleb Beliakov
, Francisco Javier Cabrerizo
, Enrique Herrera-Viedma, Jian-Zhang Wu
:
Random generation of k-interactive capacities. Fuzzy Sets Syst. 430: 48-55 (2022) - [j125]Gleb Beliakov
, Marek Gagolewski, Simon James
:
Hierarchical data fusion processes involving the Möbius representation of capacities. Fuzzy Sets Syst. 433: 1-21 (2022) - [j124]Tim Wilkin
, Gleb Beliakov
:
Robust aggregation of compositional and interval-valued data: The mode on the unit simplex. Fuzzy Sets Syst. 446: 124-143 (2022) - [j123]Gleb Beliakov
, Dmitry V. Divakov:
Aggregation with dependencies: Capacities and fuzzy integrals. Fuzzy Sets Syst. 446: 222-232 (2022) - [j122]Gleb Beliakov, Marek Gagolewski, Simon James
:
Reduction of variables and constraints in fitting antibuoyant fuzzy measures to data using linear programming. Fuzzy Sets Syst. 451: 266-284 (2022) - [j121]Gleb Beliakov
, Simon James
:
Choquet integral-based measures of economic welfare and species diversity. Int. J. Intell. Syst. 37(4): 2849-2867 (2022) - [j120]Gleb Beliakov
:
On Random Generation of Supermodular Capacities. IEEE Trans. Fuzzy Syst. 30(1): 293-296 (2022) - [j119]Gleb Beliakov
, Thang Cao
, Vicky H. Mak-Hau:
Aggregation of Interacting Criteria in Land Combat Vehicle Selection by Using Fuzzy Measures. IEEE Trans. Fuzzy Syst. 30(9): 3979-3989 (2022) - [c59]Gleb Beliakov:
Optimising non-convex Choquet integrals using DC (difference of convex) algorithm. FUZZ-IEEE 2022: 1-6 - 2021
- [j118]Maia Angelova
, Gleb Beliakov, Anatoli Ivanov
, Sergiy Shelyag
:
Global stability and periodicity in a glucose-insulin regulation model with a single delay. Commun. Nonlinear Sci. Numer. Simul. 95: 105659 (2021) - [j117]Gleb Beliakov
, Jian-Zhang Wu
:
Learning k-maxitive fuzzy measures from data by mixed integer programming. Fuzzy Sets Syst. 412: 41-52 (2021) - [j116]Gleb Beliakov, Simon James
, Anna Kolesárová, Radko Mesiar:
Cardinality-limiting extended pre-aggregation functions. Inf. Fusion 76: 66-74 (2021) - [j115]Gleb Beliakov
:
On the derivatives of set functions in matrix representation. Inf. Sci. 546: 469-480 (2021) - [j114]Gleb Beliakov
, Jian-Zhang Wu:
Random generation of capacities and its application in comprehensive decision aiding. Inf. Sci. 577: 424-435 (2021) - [j113]Gleb Beliakov
, Simon James:
Choquet integral optimisation with constraints and the buoyancy property for fuzzy measures. Inf. Sci. 578: 22-36 (2021) - [j112]Jianzhang Wu, Gleb Beliakov
:
Comprehensive nonmodularity and interaction indices for decision analysis. J. Intell. Fuzzy Syst. 40(6): 10671-10685 (2021) - [j111]Juan Zhao
, Tianrui Zong
, Yong Xiang
, Longxiang Gao
, Wanlei Zhou
, Gleb Beliakov:
Desynchronization Attacks Resilient Watermarking Method Based on Frequency Singular Value Coefficient Modification. IEEE ACM Trans. Audio Speech Lang. Process. 29: 2282-2295 (2021) - 2020
- [b3]Gleb Beliakov, Simon James
, Jian-Zhang Wu:
Discrete Fuzzy Measures - Computational Aspects. Studies in Fuzziness and Soft Computing 382, Springer 2020, ISBN 978-3-030-15304-5, pp. 1-239 - [j110]Gleb Beliakov
, Jana Spirková
, Tomasa Calvo:
On the extended set of weights of the OWA functions. Int. J. Gen. Syst. 49(4): 355-373 (2020) - [j109]Gleb Beliakov
, Jian-Zhang Wu:
The axiomatic characterisations of non-modularity index. Int. J. Gen. Syst. 49(7): 675-688 (2020) - [j108]Jian-Zhang Wu, Gleb Beliakov
:
Marginal contribution representation of capacity-based multicriteria decision making. Int. J. Intell. Syst. 35(3): 373-400 (2020) - [j107]Maia Angelova, Gleb Beliakov
, Sergiy Shelyag
, Ye Zhu
:
Density estimates on the unit simplex and calculation of the mode of a sample. Int. J. Intell. Syst. 35(5): 850-868 (2020) - [j106]Gleb Beliakov
, Marek Gagolewski, Simon James
:
Robust fitting for the Sugeno integral with respect to general fuzzy measures. Inf. Sci. 514: 449-461 (2020) - [j105]Jian-Zhang Wu, Gleb Beliakov
:
k-order representative capacity. J. Intell. Fuzzy Syst. 38(3): 3105-3115 (2020) - [j104]Li Huang, Jian-Zhang Wu, Gleb Beliakov
:
Multicriteria correlation preference information (MCCPI) with nonadditivity index for decision aiding. J. Intell. Fuzzy Syst. 39(3): 3441-3452 (2020) - [j103]Gleb Beliakov
, Dmitry V. Divakov:
On representation of fuzzy measures for learning Choquet and Sugeno integrals. Knowl. Based Syst. 189 (2020) - [j102]Gleb Beliakov
, Jian-Zhang Wu, Dmitry V. Divakov:
Towards sophisticated decision models: Nonadditive robust ordinal regression for preference modeling. Knowl. Based Syst. 190: 105351 (2020) - [c58]Juan Zhao
, Tianrui Zong
, Yong Xiang
, Longxiang Gao
, Gleb Beliakov
:
Robust Blockchain-Based Cross-Platform Audio Copyright Protection System Using Content-Based Fingerprint. WISE (2) 2020: 201-212
2010 – 2019
- 2019
- [j101]Weiping Ding, Gary G. Yen
, Gleb Beliakov, Isaac Triguero, Mahardhika Pratama
, Xiangliang Zhang, Hongjun Li:
IEEE Access Special Section Editorial: Data Mining and Granular Computing in Big Data and Knowledge Processing. IEEE Access 7: 47682-47686 (2019) - [j100]Rui-Jie Xi, Jianzhang Wu
, Gleb Beliakov:
Matrix Representation of Capacity-Based Multicriteria Decision Analysis. IEEE Access 7: 185543-185553 (2019) - [j99]Maia Angelova
, Gleb Beliakov, Ye Zhu
:
Density-based clustering using approximate natural neighbours. Appl. Soft Comput. 85 (2019) - [j98]Jian-Zhang Wu, Gleb Beliakov
:
Probabilistic bipartition interaction index of multiple decision criteria associated with the nonadditivity of fuzzy measures. Int. J. Intell. Syst. 34(2): 247-270 (2019) - [j97]Jian-Zhang Wu, Gleb Beliakov
:
Nonadditive robust ordinal regression with nonadditivity index and multiple goal linear programming. Int. J. Intell. Syst. 34(7): 1732-1752 (2019) - [j96]Gleb Beliakov
, Dmitry V. Divakov:
Fitting Sugeno integral for learning fuzzy measures using PAVA isotone regression. Int. J. Intell. Syst. 34(11): 2863-2871 (2019) - [j95]Jana Spirková
, Gleb Beliakov
, Humberto Bustince
, Javier Fernández
:
Mixture functions and their monotonicity. Inf. Sci. 481: 520-549 (2019) - [j94]Jian-Zhang Wu
, Gleb Beliakov
:
Nonmodularity index for capacity identifying with multiple criteria preference information. Inf. Sci. 492: 164-180 (2019) - [j93]Gleb Beliakov
, Jian-Zhang Wu
:
Learning fuzzy measures from data: Simplifications and optimisation strategies. Inf. Sci. 494: 100-113 (2019) - [j92]Gleb Beliakov
, Marek Gagolewski
, Simon James
:
Aggregation on ordinal scales with the Sugeno integral for biomedical applications. Inf. Sci. 501: 377-387 (2019) - [j91]Jian-Zhang Wu, Gleb Beliakov:
k-minitive capacities and k-minitive aggregation functions. J. Intell. Fuzzy Syst. 37(2): 2797-2808 (2019) - [j90]Marek Gagolewski
, Simon James
, Gleb Beliakov
:
Supervised Learning to Aggregate Data With the Sugeno Integral. IEEE Trans. Fuzzy Syst. 27(4): 810-815 (2019) - [c57]Tim Wilkin, Gleb Beliakov:
The Mode of Interval-Valued Data. FUZZ-IEEE 2019: 1-6 - [c56]Juan Zhao
, Tianrui Zong
, Yong Xiang
, Longxiang Gao
, Gleb Beliakov
:
Pre-adjustment Based Anti-collusion Mechanism for Audio Signals. NSS 2019: 305-319 - 2018
- [j89]Gleb Beliakov
, Gita Das, Huy Quan Vu, Tim Wilkin, Yong Xiang:
Fuzzy Connectives for Efficient Image Reduction and Speeding Up Image Analysis. IEEE Access 6: 68403-68414 (2018) - [j88]Gleb Beliakov, Marek Gagolewski
, Simon James
, Shannon Pace, Nicola Pastorello, Elodie Thilliez, Rajesh Vasa
:
Measuring traffic congestion: An approach based on learning weighted inequality, spread and aggregation indices from comparison data. Appl. Soft Comput. 67: 910-919 (2018) - [j87]Gleb Beliakov
:
Comparing Apples and Oranges: The Weighted OWA Function. Int. J. Intell. Syst. 33(5): 1089-1108 (2018) - [j86]Gleb Beliakov
:
A new type of fuzzy integrals for decision making based on bivariate symmetric means. Int. J. Intell. Syst. 33(8): 1660-1671 (2018) - [j85]Jian-Zhang Wu
, Gleb Beliakov
:
Nonadditivity index and capacity identification method in the context of multicriteria decision making. Inf. Sci. 467: 398-406 (2018) - [j84]Gleb Beliakov
, Simon James
, Tim Wilkin, Tomasa Calvo
:
Robustifying OWA Operators for Aggregating Data With Outliers. IEEE Trans. Fuzzy Syst. 26(4): 1823-1832 (2018) - [c55]Gleb Beliakov, Marek Gagolewski
, Simon James
:
Least Median of Squares (LMS) and Least Trimmed Squares (LTS) Fitting for the Weighted Arithmetic Mean. IPMU (2) 2018: 367-378 - 2017
- [j83]Gleb Beliakov, Simon James
, Tim Wilkin:
Aggregation and consensus for preference relations based on fuzzy partial orders. Fuzzy Optim. Decis. Mak. 16(4): 409-428 (2017) - [j82]Humberto Bustince, Gleb Beliakov
, Graçaliz Pereira Dimuro, Benjamín R. C. Bedregal
, Radko Mesiar:
On the definition of penalty functions in data aggregation. Fuzzy Sets Syst. 323: 1-18 (2017) - [j81]Gleb Beliakov
, Daniel Gómez
, Simon James
, Javier Montero, Juan Tinguaro Rodríguez
:
Approaches to learning strictly-stable weights for data with missing values. Fuzzy Sets Syst. 325: 97-113 (2017) - [j80]Jozo Dujmovic, Gleb Beliakov
:
Idempotent Weighted Aggregation Based on Binary Aggregation Trees. Int. J. Intell. Syst. 32(1): 31-50 (2017) - [j79]Gleb Beliakov
, Tomasa Calvo
, Pilar Fuster-Parra
:
Implicit averaging functions. Inf. Sci. 417: 96-112 (2017) - [j78]Iynkaran Natgunanathan, Yong Xiang, Guang Hua, Gleb Beliakov, John Yearwood:
Patchwork-Based Multilayer Audio Watermarking. IEEE ACM Trans. Audio Speech Lang. Process. 25(11): 2176-2187 (2017) - [c54]Jana Spirková
, Gleb Beliakov, Humberto Bustince, Javier Fernández
:
Directional and Ordered Directional Monotonicity of Mixture Functions. AGOP 2017: 96-105 - [c53]Tim Wilkin, Gleb Beliakov:
Robust image denoising and smoothing with generalised spatial-tonal averages. FUZZ-IEEE 2017: 1-7 - [e2]Janusz Kacprzyk, Dimitar P. Filev, Gleb Beliakov:
Granular, Soft and Fuzzy Approaches for Intelligent Systems - Dedicated to Professor Ronald R. Yager. Studies in Fuzziness and Soft Computing 344, 2017, ISBN 978-3-319-40312-0 [contents] - 2016
- [b2]Gleb Beliakov, Humberto Bustince Sola, Tomasa Calvo
:
A Practical Guide to Averaging Functions. Studies in Fuzziness and Soft Computing 329, Springer 2016, ISBN 978-3-319-24751-9, pp. 1-345 - [j77]Iynkaran Natgunanathan, Abid Mehmood
, Yong Xiang, Gleb Beliakov
, John Yearwood:
Protection of Privacy in Biometric Data. IEEE Access 4: 880-892 (2016) - [j76]Gleb Beliakov
, Jana Spirková
:
Weak monotonicity of Lehmer and Gini means. Fuzzy Sets Syst. 299: 26-40 (2016) - [j75]Gleb Beliakov, Marek Gagolewski
, Simon James
:
Penalty-Based and Other Representations of Economic Inequality. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 24(Supplement-1): 1-24 (2016) - [j74]Ana Pradera
, Gleb Beliakov
, Humberto Bustince, Bernard De Baets
:
A review of the relationships between implication, negation and aggregation functions from the point of view of material implication. Inf. Sci. 329: 357-380 (2016) - [j73]Gleb Beliakov
, Jozo Dujmovic:
Extension of bivariate means to weighted means of several arguments by using binary trees. Inf. Sci. 331: 137-147 (2016) - [j72]Shaun Bangay, Gleb Beliakov
:
On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. Numer. Linear Algebra Appl. 23(3): 485-500 (2016) - [c52]Gleb Beliakov, Simon James
, Tim Wilkin, Tomasa Calvo
:
Robust OWA-based aggregation for data with outliers. FUZZ-IEEE 2016: 1874-1879 - [c51]Gleb Beliakov
, Andrew Geschke, Simon James
, Dale Nimmo:
Linear Optimization for Ecological Indices Based on Aggregation Functions. IPMU (2) 2016: 411-422 - [c50]Maciej Bartoszuk
, Gleb Beliakov
, Marek Gagolewski
, Simon James
:
Fitting Aggregation Functions to Data: Part I - Linearization and Regularization. IPMU (2) 2016: 767-779 - [c49]Maciej Bartoszuk
, Gleb Beliakov
, Marek Gagolewski
, Simon James
:
Fitting Aggregation Functions to Data: Part II - Idempotization. IPMU (2) 2016: 780-789 - 2015
- [j71]Gleb Beliakov
, Simon James
:
Unifying approaches to consensus across different preference representations. Appl. Soft Comput. 35: 888-897 (2015) - [j70]Gleb Beliakov
, Yuri V. Matiyasevich
:
Approximation of Riemann's Zeta Function by Finite Dirichlet Series: A Multiprecision Numerical Approach. Exp. Math. 24(2): 150-161 (2015) - [j69]Daniel Paternain
, Javier Fernández
, Humberto Bustince Sola, Radko Mesiar, Gleb Beliakov
:
Construction of image reduction operators using averaging aggregation functions. Fuzzy Sets Syst. 261: 87-111 (2015) - [j68]Tim Wilkin
, Gleb Beliakov
:
Weakly Monotonic Averaging Functions. Int. J. Intell. Syst. 30(2): 144-169 (2015) - [j67]Gleb Beliakov
, Tomasa Calvo
, Tim Wilkin
:
On the weak monotonicity of Gini means and other mixture functions. Inf. Sci. 300: 70-84 (2015) - [j66]Gleb Beliakov
, Simon James
, Dale Nimmo:
Using aggregation functions to model human judgements of species diversity. Inf. Sci. 306: 21-33 (2015) - [j65]Alberto Ferrer
, Adil M. Bagirov
, Gleb Beliakov
:
Solving DC programs using the cutting angle method. J. Glob. Optim. 61(1): 71-89 (2015) - [j64]Tianrui Zong
, Yong Xiang, Iynkaran Natgunanathan, Song Guo
, Wanlei Zhou
, Gleb Beliakov
:
Robust Histogram Shape-Based Method for Image Watermarking. IEEE Trans. Circuits Syst. Video Technol. 25(5): 717-729 (2015) - [j63]Gleb Beliakov
, Gang Li
, Huy Quan Vu, Tim Wilkin
:
Characterizing Compactness of Geometrical Clusters Using Fuzzy Measures. IEEE Trans. Fuzzy Syst. 23(4): 1030-1043 (2015) - [c48]Gleb Beliakov, Simon James, Daniel Gómez, Juan Tinguaro Rodríguez, Javier Montero:
Learning Stable Weights for Data of Varying Dimension. AGOP 2015: 49-54 - [c47]Gleb Beliakov, Simon James, Laura Smith, Tim Wilkin:
Biased experts and similarity based weights in preferences aggregation. IFSA-EUSFLAT 2015 - [c46]Gleb Beliakov
, Simon James
, Tim Wilkin:
Construction and aggregation of preference relations based on fuzzy partial orders. FUZZ-IEEE 2015: 1-8 - [r2]Gleb Beliakov
, Tomasa Calvo
, Simon James
:
Aggregation Functions for Recommender Systems. Recommender Systems Handbook 2015: 777-808 - 2014
- [j62]Daniel Gómez
, Karina Rojas, Javier Montero
, Juan Tinguaro Rodríguez
, Gleb Beliakov
:
Consistency and stability in aggregation operators: An application to missing data problems. Int. J. Comput. Intell. Syst. 7(3): 595-604 (2014) - [j61]Humberto Bustince Sola, Edurne Barrenechea Tartas
, Tomasa Calvo
, Simon James
, Gleb Beliakov
:
Consensus in multi-expert decision making problems using penalty functions defined over a Cartesian product of lattices. Inf. Fusion 17: 56-64 (2014) - [j60]Gleb Beliakov
, Miguel Pagola
, Tim Wilkin
:
Vector valued similarity measures for Atanassov's intuitionistic fuzzy sets. Inf. Sci. 280: 352-367 (2014) - [j59]Gleb Beliakov
, Tim Wilkin
:
On some properties of weighted averaging with variable weights. Inf. Sci. 281: 1-7 (2014) - [j58]Jemal H. Abawajy, Gleb Beliakov
, Andrei V. Kelarev, Morshed U. Chowdhury
:
Iterative Construction of Hierarchical Classifiers for Phishing Website Detection. J. Networks 9(8): 2089-2098 (2014) - [j57]Gleb Beliakov
, Tomasa Calvo
, Simon James
:
Consensus measures constructed from aggregation functions and fuzzy implications. Knowl. Based Syst. 55: 1-8 (2014) - [j56]Gleb Beliakov
, Simon James
:
A penalty-based aggregation operator for non-convex intervals. Knowl. Based Syst. 70: 335-344 (2014) - [j55]Gleb Beliakov
, Tomasa Calvo
, Tim Wilkin
:
Three types of monotonicity of averaging functions. Knowl. Based Syst. 72: 114-122 (2014) - [j54]Daniel Paternain, Humberto Bustince, Javier Fernández, José Antonio Sanz, Michal Baczynski, Gleb Beliakov, Radko Mesiar:
Strong Fuzzy Subsethood Measures and Strong Equalities Via Implication Functions. J. Multiple Valued Log. Soft Comput. 22(4-6): 347-371 (2014) - [c45]Gleb Beliakov
, Simon James
, Dale Nimmo:
Can indices of ecological evenness be used to measure consensus? FUZZ-IEEE 2014: 25-32 - [c44]Gleb Beliakov
, Simon James
:
Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs. FUZZ-IEEE 2014: 298-305 - [c43]Gleb Beliakov
, Gang Li
, Huy Quan Vu, Tim Wilkin
:
Fuzzy measures of pixel cluster compactness. FUZZ-IEEE 2014: 1104-1111 - [c42]Tim Wilkin, Gleb Beliakov
, Tomasa Calvo
:
Weakly Monotone Averaging Functions. IPMU (3) 2014: 364-373 - [c41]Gleb Beliakov, Simon James, Laura Smith:
Single-Preference Consensus Measures Based on Models of Ecological Evenness. MDAI 2014: 50-59 - [i6]Gleb Beliakov:
On fast matrix-vector multiplication with a Hankel matrix in multiprecision arithmetics. CoRR abs/1402.5287 (2014) - [i5]Tim Wilkin, Gleb Beliakov:
Weakly monotone averaging functions. CoRR abs/1408.0328 (2014) - 2013
- [j53]Gleb Beliakov
, Michael Johnstone, Douglas C. Creighton, Tim Wilkin
:
An efficient implementation of Bailey and Borwein's algorithm for parallel random number generation on graphics processing units. Computing 95(4): 309-326 (2013) - [j52]Gleb Beliakov
, Douglas C. Creighton, Michael Johnstone, Tim Wilkin
:
Efficient implementation of Bailey and Borwein pseudo-random number generator based on normal numbers. Comput. Phys. Commun. 184(8): 1999-2004 (2013) - [j51]Humberto Bustince Sola, Aranzazu Jurio, Ana Pradera
, Radko Mesiar, Gleb Beliakov
:
Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions. Eur. J. Oper. Res. 225(3): 472-478 (2013) - [j50]Gleb Beliakov
, Simon James
:
On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts. Fuzzy Sets Syst. 211: 84-98 (2013) - [j49]Gleb Beliakov
, Simon James
:
Stability of weighted penalty-based aggregation functions. Fuzzy Sets Syst. 226: 1-18 (2013) - [j48]Nikhil R. Pal, Humberto Bustince Sola, Miguel Pagola
, U. K. Mukherjee, D. P. Goswami, Gleb Beliakov
:
Uncertainties with Atanassov's intuitionistic fuzzy sets: Fuzziness and lack of knowledge. Inf. Sci. 228: 61-74 (2013) - [j47]Gleb Beliakov
, Andrei V. Kelarev:
Global non-smooth optimization in robust multivariate regression. Optim. Methods Softw. 28(1): 124-138 (2013) - [c40]Daniel Paternain
, Aranzazu Jurio, Radko Mesiar, Gleb Beliakov
, Humberto Bustince:
Image Reduction Operators as Aggregation Functions: Fuzzy Transform and Undersampling. AGOP 2013: 405-414 - [c39]Gleb Beliakov, Humberto Bustince, Javier Fernández, Radko Mesiar, Ana Pradera:
On the use of restricted dissimilarity and dissimilarity-like functions for defining penalty functions. EUSFLAT Conf. 2013 - [c38]Gleb Beliakov
, Simon James
, Radko Mesiar:
A Generalization of the Bonferroni Mean based on partitions. FUZZ-IEEE 2013 - [c37]Gleb Beliakov
, Simon James
, Tomasa Calvo
:
Aggregating fuzzy implications to measure group consensus. IFSA/NAFIPS 2013: 1016-1021 - [c36]