1. bookVolumen 30 (2022): Heft 2 (May 2022)
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
1844-0835
Erstveröffentlichung
17 May 2013
Erscheinungsweise
1 Hefte pro Jahr
Sprachen
Englisch
access type Uneingeschränkter Zugang

Properties of n-ary hypergroups relevant for modelling trajectories in HD maps

Online veröffentlicht: 02 Jun 2022
Volumen & Heft: Volumen 30 (2022) - Heft 2 (May 2022)
Seitenbereich: 161 - 178
Eingereicht: 16 Jul 2021
Akzeptiert: 30 Nov 2021
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
1844-0835
Erstveröffentlichung
17 May 2013
Erscheinungsweise
1 Hefte pro Jahr
Sprachen
Englisch
Abstract

In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.

MSC 2010

[1] L. Chen, X. Hu, B. Tang, Y. Cheng, “Conditional DQN-Based Motion Planning With Fuzzy Logic for Autonomous Driving,” In IEEE Transactions on Intelligent Transportation Systems, doi: 10.1109/TITS.2020.3025671.10.1109/TITS.2020.3025671 Search in Google Scholar

[2] K. Chellapilla, Rethinking aps for self-driving, [online] https://medium.com/lyftself-driving/https-medium-com-lyftlevel5-rethinking-maps-for-self-driving-a147c24758d6 Search in Google Scholar

[3] S. Coskun, R. Langari, “Predictive Fuzzy Markov Decision Strategy for Autonomous Driving in Highways”, In IEEE Conference on Control Technology and Applications (CCTA), 2018, pp. 1032-1039, doi: 10.1109/CCTA.2018.8511369.10.1109/CCTA.2018.8511369 Search in Google Scholar

[4] P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory; Kluwer Academic Publishers: Dodrecht – Boston – London, 2003.10.1007/978-1-4757-3714-1 Search in Google Scholar

[5] I. Cristea, M. Ştefanescu, Hypergroups and n-ary relations, European J. Combin., 31(3) (2010), 780-789. Search in Google Scholar

[6] T. Dahlstrom, How Accurate Are HD Maps for Autonomous Driving and ADAS Simulation? [online] https://news.atlatec.de/how-accurate-are-hd-maps-for-autonomous-driving-and-adas-simulation/ 2020. Search in Google Scholar

[7] B. Davvaz, T. Vougiouklis, n–ary hypergroups, Iran. J. Sci. Technol. Trans. A-Sci., 30(A2) (2006), 165–174. Search in Google Scholar

[8] T. Dias, J. Ribeiro, L. Moura, D. Juregui, M. Miranda, J. Almeida, M. Jooriah, HD Maps in the 5G-MOBIX project, IEEE 5G for CAM Summit, 2021. Search in Google Scholar

[9] M. Gleirscher, R. Calinescu, J. Woodcock, RISKSTRUCTURES: A design algebra for risk-aware machines. Form. Asp. Comp. (2021). doi: 10.1007/s00165-021-00545-4.10.1007/s00165-021-00545-4 Search in Google Scholar

[10] M. Hamdi, N. Boudriga, Algebraic specification of network security risk management. In Proceedings of the 2003 ACM workshop on Formal methods in security engineering (FMSE ’03), Association for Computing Machinery, New York, NY, USA, 2003, doi:https://doi.org/10.1145/1035429.1035435.10.1145/1035429.1035435 Search in Google Scholar

[11] C. Kim, S. Cho, M. Sunwoo, K. Jo, Crowd-Sourced Mapping of New Feature Layer for High-Definition Map. Sensors. 18(2018)(12), 4172.10.3390/s18124172630854030487399 Search in Google Scholar

[12] Š. Křehlík, n-ary Cartesian Composition of Multiautomata with Internal Link for Autonomous Control of Lane Shifting. Mathematics 2020, 8 (5), 83510.3390/math8050835 Search in Google Scholar

[13] Š. Křehlík, J. Vyroubalová, The Symmetry of Lower and Upper Approximations, Determined by a Cyclic Hypergroup, Applicable in Control Theory, Symmetry 12(2020),(1) 54.10.3390/sym12010054 Search in Google Scholar

[14] S. Liu, L. Li, J. Tang, S. Wu, J-L. Gaaudiot, Creating Autonomous Vehicle Systems, Morgan & Claypool, 2018. Search in Google Scholar

[15] R. Liu, J. Wang, B. Zhang, High Definition Map for Automated Driving: Overview and Analysis. Journal of Navigation, 73(2020)(2), 324-341.10.1017/S0373463319000638 Search in Google Scholar

[16] K. Ma, H. Wang, A Cellular Automaton Model Considering the Exclusive Lanes of Autonomous Vehicles on Expressway, In CICTP 2019: Transportation in China: Connecting the World, 2019, doi:10.1061/9780784482292.477.10.1061/9780784482292.477 Search in Google Scholar

[17] L. Ma, Y. Li, J. Li, Z. Zhong, M. A. Chapman, Generation of horizontally curved driving lines in HD maps using mobile laser scanning point clouds, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 12(2019)(5), 1572-1586.10.1109/JSTARS.2019.2904514 Search in Google Scholar

[18] Ch. Massouros, G. Massouros, An Overview of the Foundations of the Hypergroup Theory, Mathematics 2021, 9 (9), 1014.10.3390/math9091014 Search in Google Scholar

[19] Ch. Massouros, G. Massouros, Hypercompositional Algebra, Computer Science and Geometry, Mathematics 2020, 8 (8), 138.10.3390/math8081338 Search in Google Scholar

[20] S. Mirvakili, (i,j)-transposition n-ary hypergroups, In The Extended Abstracts of Posters of The 44th Annual Iranian Mathematics Conference, 27-30 August 2013, Ferdowsi University of Mashad, Iran, pp. 141-144. Search in Google Scholar

[21] S. Mirvakili, B. Davvaz, On some combinatorial aspects of transposition n-ary hypergroups, Carpathian J. Math., 30(2014)(1), 109–116.10.37193/CJM.2014.01.15 Search in Google Scholar

[22] M. Norouzi, I. Cristea, Hyperrings with n-ary composition hyperoperation, J. Alg. Appl., 17(2) (2018), 1850022.10.1142/S0219498818500226 Search in Google Scholar

[23] J. P. Rastelli, M. S. Penas, Fuzzy logic steering control of autonomous vehicles inside roundabouts, Appl. Soft Comput. 35(2015), 662-669.10.1016/j.asoc.2015.06.030 Search in Google Scholar

[24] Toyota Research Institute – Advanced Development, Inc., TRI-AD enables successful creation of HD maps for automated driving on surface roads, [online] https://global.toyota/en/newsroom/corporate/31898884.html, 2020. Search in Google Scholar

[25] T. Vranken, B. Sliwa, C. Wietfeld, M. Schreckenberg, Adapting a cellular automata model to describe heterogeneous traffic with human-driven, automated, and communicating automated vehicles, Physica A: Statistical Mechanics and its Applications, 570(2021), 125792.10.1016/j.physa.2021.125792 Search in Google Scholar

[26] L. Wan, Y. Sun, L. Sun, Z. Ning and J. J. P. C. Rodrigues, “Deep Learning Based Autonomous Vehicle Super Resolution DOA Estimation for Safety Driving,” In IEEE Transactions on Intelligent Transportation Systems, doi: 10.1109/TITS.2020.3009223.10.1109/TITS.2020.3009223 Search in Google Scholar

[27] L. Ye, T. Yamamoto, Modeling connected and autonomous vehicles in heterogeneous traffic flow, Physica A: Statistical Mechanics and its Applications, 490(2018), 269-277.10.1016/j.physa.2017.08.015 Search in Google Scholar

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