{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T16:25:18Z","timestamp":1769099118952,"version":"3.49.0"},"reference-count":36,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,3,8]],"date-time":"2021-03-08T00:00:00Z","timestamp":1615161600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2016YFB0502003"],"award-info":[{"award-number":["2016YFB0502003"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Location information is one of the basic elements of the Internet of Things (IoT), which is also an important research direction in the application of wireless sensor networks (WSNs). Aiming at addressing the TOA positioning problem in the low anchor node density deployment environment, the traditional cooperative localization method will reduce the positioning accuracy due to excessive redundant information. In this regard, this paper proposes a location source optimization algorithm based on fuzzy comprehensive evaluation. First, each node calculates its own time-position distribute conditional posterior Cramer-Rao lower bound (DCPCRLB) and transfers it to neighbor nodes. Then collect the DCPCRLB, distance measurement, azimuth angle and other information from neighboring nodes to form a fuzzy evaluation factor set and determine the final preferred location source after fuzzy change. The simulation results show that the method proposed in this paper has better positioning accuracy about 33.9% with the compared method in low anchor node density scenarios when the computational complexity is comparable.<\/jats:p>","DOI":"10.3390\/s21051890","type":"journal-article","created":{"date-parts":[[2021,3,8]],"date-time":"2021-03-08T12:12:18Z","timestamp":1615205538000},"page":"1890","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["A Novel Location Source Optimization Algorithm for Low Anchor Node Density Wireless Sensor Networks"],"prefix":"10.3390","volume":"21","author":[{"given":"Zhongliang","family":"Deng","sequence":"first","affiliation":[{"name":"School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shihao","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiwen","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4978-8439","authenticated-orcid":false,"given":"Lu","family":"Yin","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jingrong","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,3,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Capella, J.V., Campelo, J.C., Bonastre, A., and Ors, R. (2016). A reference model for monitoring IoT WSN-based applications. Sensors, 16.","DOI":"10.3390\/s16111816"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"10010","DOI":"10.3390\/s111110010","article-title":"Improving prediction accuracy for WSN data reduction by applying multivariate spatio-temporal correlation","volume":"11","author":"Carvalho","year":"2011","journal-title":"Sensors"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1585","DOI":"10.1109\/TII.2017.2777846","article-title":"Collaborative energy and information transfer in green wireless sensor networks for smart cities","volume":"14","author":"Lu","year":"2017","journal-title":"IEEE Trans. Ind. Inf."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"11001","DOI":"10.3390\/s101211001","article-title":"On the relevance of using Bayesian belief networks in wireless sensor networks situation recognition","volume":"10","author":"Bagula","year":"2010","journal-title":"Sensors"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1007\/s11277-017-4890-z","article-title":"The impact of wireless sensor network in the field of precision agriculture: A review","volume":"98","author":"Kumar","year":"2018","journal-title":"Wirel. Wirel. Pers. Commun."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1016\/j.future.2016.12.023","article-title":"CUIDATS: An RFID\u2013WSN hybrid monitoring system for smart health care environments","volume":"78","author":"Adame","year":"2018","journal-title":"Future Gener. Comput. Syst."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2723","DOI":"10.1109\/TWC.2017.2658601","article-title":"Optimal WSN deployment models for air pollution monitoring","volume":"16","author":"Boubrima","year":"2017","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1109\/TETC.2017.2687319","article-title":"A disaster management-oriented path planning for mobile anchor node-based localization in wireless sensor networks","volume":"8","author":"Han","year":"2017","journal-title":"IEEE Trans. Emerg. Top. Comput."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Radmand, P., Talevski, A., Petersen, S., and Carlsen, S. (2010, January 13\u201316). Comparison of industrial WSN standards. Proceedings of the 4th IEEE International Conference on Digital Ecosystems and Technologies, Dubai, UAE.","DOI":"10.1109\/DEST.2010.5610582"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Kenniche, H., and Ravelomananana, V. (2010, January 26\u201328). Random geometric graphs as model of wireless sensor networks. Proceedings of the 2010 2nd International Conference on Computer and Automation Engineering (ICCAE), Singapore.","DOI":"10.1109\/ICCAE.2010.5451758"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Elhoseny, M., and Hassanien, A.E. (2019). Extending homogeneous WSN lifetime in dynamic environments using the clustering model. Dynamic Wireless Sensor Networks, Springer.","DOI":"10.1007\/978-3-319-92807-4_4"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Popescu, D., Dragana, C., Stoican, F., Ichim, L., and Stamatescu, G. (2018). A collaborative UAV-WSN network for monitoring large areas. Sensors, 18.","DOI":"10.3390\/s18124202"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Elhoseny, M., and Hassanien, A.E. (2019). Expand mobile WSN coverage in harsh environments. Dynamic Wireless Sensor Networks, Springer.","DOI":"10.1007\/978-3-319-92807-4"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"27629","DOI":"10.1109\/ACCESS.2018.2836898","article-title":"Secure APIT localization scheme against sybil attacks in distributed wireless sensor networks","volume":"6","author":"Yuan","year":"2018","journal-title":"IEEE Access"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Cheikhrouhou, O., M Bhatti, G., and Alroobaea, R. (2018). A hybrid DV-hop algorithm using RSSI for localization in large-scale wireless sensor networks. Sensors, 18.","DOI":"10.3390\/s18051469"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2608","DOI":"10.1109\/JSEN.2019.2951712","article-title":"Change Detection of RSSI Fingerprint Pattern for Indoor Positioning System","volume":"20","author":"Yoo","year":"2019","journal-title":"IEEE Sens. J."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Li, G., Geng, E., Ye, Z., Xu, Y., Lin, J., and Pang, Y. (2018). Indoor positioning algorithm based on the improved RSSI distance model. Sensors, 18.","DOI":"10.3390\/s18092820"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/LSENS.2019.2955125","article-title":"A TOA-based localization algorithm with simultaneous NLOS mitigation and synchronization error elimination","volume":"3","author":"Wu","year":"2019","journal-title":"IEEE Sens. Lett."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"D\u00edez-Gonz\u00e1lez, J., \u00c1lvarez, R., S\u00e1nchez-Gonz\u00e1lez, L., Fern\u00e1ndez-Robles, L., P\u00e9rez, H., and Castej\u00f3n-Limas, M. (2019). 3D Tdoa problem solution with four receiving nodes. Sensors, 19.","DOI":"10.3390\/s19132892"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1109\/TIM.2018.2844942","article-title":"TOA estimation of chirp signal in dense multipath environment for low-cost acoustic ranging","volume":"68","author":"Zhang","year":"2018","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1109\/JPROC.2008.2008853","article-title":"Cooperative localization in wireless networks","volume":"97","author":"Wymeersch","year":"2009","journal-title":"Proc. IEEE"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Deng, Z., Tang, S., Jia, B., Wang, H., Deng, X., and Zheng, X. (2020). Cooperative Localization and Time Synchronization Based on M-VMP Method. Sensors, 20.","DOI":"10.3390\/s20216315"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3653","DOI":"10.1109\/JIOT.2020.3023556","article-title":"A Mobile-beacon Based Iterative Localization Mechanism in Large-scale Underwater Acoustic Sensor Networks","volume":"8","author":"Su","year":"2020","journal-title":"IEEE Internet Things J."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1166\/sl.2013.2512","article-title":"A node localization algorithm for wireless sensor networks using distance clustering to select the anchor nodes","volume":"11","author":"Chen","year":"2013","journal-title":"Sens. Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"113044","DOI":"10.1016\/j.eswa.2019.113044","article-title":"A hybrid localization model using node segmentation and improved particle swarm optimization with obstacle-awareness for wireless sensor networks","volume":"143","author":"Phoemphon","year":"2020","journal-title":"Expert Syst. Appl."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Zhang, K., Zhang, G., Yu, X., and Hu, S. (2021). Boundary-Based Anchor Selection Method for WSNs Node Localization. Arab. J. Sci. Eng.","DOI":"10.1007\/s13369-020-05286-9"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Sun, S., Qin, S., Hao, Y., Zhang, G., and Zhao, C. (2020). Underwater Acoustic Localization of the Black Box Based on Generalized Second-Order Time Difference of Arrival (GSTDOA). IEEE Trans. Geosci. Remote Sens.","DOI":"10.1109\/TGRS.2020.3032982"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Kaushik, A., and Lobiyal, D.K. (2019). Enhanced Three-Dimensional DV-Hop Algorithm. ICT Systems and Sustainability, Springer.","DOI":"10.1007\/978-981-15-8289-9_25"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Ahmad, T., Li, X.J., Seet, B.-C., and Cano, J.-C. (2020). Social network analysis based localization technique with clustered closeness centrality for 3d wireless sensor networks. Electronics, 9.","DOI":"10.3390\/electronics9050738"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Gao, J., Shen, X., Mei, H., and Zhang, Z. (2019). Dynamic Reference Selection-Based Self-Localization Algorithm for Drifted Underwater Acoustic Networks. Sensors, 19.","DOI":"10.3390\/s19183920"},{"key":"ref_31","first-page":"132","article-title":"Application of multi-step fuzzy comprehensive evaluation","volume":"3","author":"Zhang","year":"2002","journal-title":"J. Harbin Eng. Univ."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/0898-1221(95)00156-S","article-title":"Bayesian estimation and the Kalman filter","volume":"30","author":"Barker","year":"1995","journal-title":"Comput. Math. Appl."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"5549","DOI":"10.1109\/TSP.2012.2205686","article-title":"New Conditional Posterior Cram\u00e9r-Rao Lower Bounds for Nonlinear Sequential Bayesian Estimation","volume":"60","author":"Zheng","year":"2012","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Anees, J., Zhang, H.-C., Baig, S., Guene Lougou, B., and Robert Bona, T.G. (2020). Hesitant Fuzzy Entropy-Based Opportunistic Clustering and Data Fusion Algorithm for Heterogeneous Wireless Sensor Networks. Sensors, 20.","DOI":"10.3390\/s20030913"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"735","DOI":"10.1016\/j.ejor.2007.01.050","article-title":"On the extent analysis method for fuzzy AHP and its applications","volume":"186","author":"Wang","year":"2008","journal-title":"Eur. J. Oper. Res."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"36836","DOI":"10.1109\/ACCESS.2020.2972962","article-title":"Indoor multi-floor 3D target tracking based on the multi-sensor fusion","volume":"8","author":"Luo","year":"2020","journal-title":"IEEE Access"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/5\/1890\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:35:02Z","timestamp":1760160902000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/5\/1890"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,8]]},"references-count":36,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2021,3]]}},"alternative-id":["s21051890"],"URL":"https:\/\/doi.org\/10.3390\/s21051890","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3,8]]}}}