{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:25:25Z","timestamp":1760243125373,"version":"build-2065373602"},"reference-count":42,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2015,8,10]],"date-time":"2015-08-10T00:00:00Z","timestamp":1439164800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Recently, the cross-layer design for the wireless sensor network communication protocol has become more and more important and popular. Considering the disadvantages of the traditional cross-layer routing algorithms, in this paper we propose a new fuzzy  logic-based routing algorithm, named the Balanced Cross-layer Fuzzy Logic (BCFL) routing algorithm. In BCFL, we use the cross-layer parameters\u2019 dispersion as the fuzzy logic inference system inputs. Moreover, we give each cross-layer parameter a dynamic weight according the value of the dispersion. For getting a balanced solution, the parameter whose dispersion is large will have small weight, and vice versa. In order to compare it with the traditional cross-layer routing algorithms, BCFL is evaluated through extensive simulations. The simulation results show that the new routing algorithm can handle the multiple constraints without increasing the complexity of the algorithm and can achieve the most balanced performance on selecting the next hop relay node. Moreover, the Balanced  Cross-layer Fuzzy Logic routing algorithm can adapt to the dynamic changing of the network conditions and topology effectively.<\/jats:p>","DOI":"10.3390\/s150819541","type":"journal-article","created":{"date-parts":[[2015,8,10]],"date-time":"2015-08-10T11:15:00Z","timestamp":1439205300000},"page":"19541-19559","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["The Balanced Cross-Layer Design Routing Algorithm in Wireless Sensor Networks Using Fuzzy Logic"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8567-4025","authenticated-orcid":false,"given":"Ning","family":"Li","sequence":"first","affiliation":[{"name":"Centro de Investigaci\u00f3n en Tecnolog\u00edas Software y Sistemal Multimedia para la  Sostenibilidad (CITSEM), Campus Sur Universidad Ploit\u00e9cnica de Madrid (UPM), Madrid 28031, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jos\u00e9-Fern\u00e1n","family":"Mart\u00ednez","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n en Tecnolog\u00edas Software y Sistemal Multimedia para la  Sostenibilidad (CITSEM), Campus Sur Universidad Ploit\u00e9cnica de Madrid (UPM), Madrid 28031, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vicente","family":"D\u00edaz","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n en Tecnolog\u00edas Software y Sistemal Multimedia para la  Sostenibilidad (CITSEM), Campus Sur Universidad Ploit\u00e9cnica de Madrid (UPM), Madrid 28031, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,8,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Perkins, C., Belding-Royer, E., and Das, S. (1999, January 25\u201326). Ad-hoc On-Demand Distance Vector Routing. Proceedings of the Second IEEE Workshop on Mobile Computing System and Applications, New Orleans, LA, USA.","DOI":"10.1109\/MCSA.1999.749281"},{"key":"ref_2","unstructured":"David, B.J., David, A.M., and Josh, B. (2001). Ad Hoc Networking, Addison-Wesley Longman Publishing."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1145\/190809.190336","article-title":"Highly dynamic Destination-Sequenced Distance-Vector routing (DSDV) for mobile computers","volume":"24","author":"Perkins","year":"1994","journal-title":"ACM SIGCOMM Comput. Commun. Rev."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Prathap, U., Deepa, S.P., Venugopal, K.P., and Patnaik, L.M. (2012, January 17\u201318). Wireless Sensor Networks Applications and Routing Protocols: Survey and Research Challenges. Proceedings of the 2012 International Symposium on Cloud and Services Computing, Mangalore, India.","DOI":"10.1109\/ISCOS.2012.21"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1109\/MCOM.2005.1561928","article-title":"Cross-layer design: A survey and the road ahead","volume":"43","author":"Srivastava","year":"2005","journal-title":"IEEE Commun. Mag."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1016\/j.jnca.2010.11.009","article-title":"A survey on cross-layer solutions for wireless sensor networks","volume":"34","author":"Mendes","year":"2011","journal-title":"J. Netw. Comput. Appl."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1109\/JSAC.2011.110505","article-title":"Delay-Aware Cross-Layer Design for Network Utility Maximization in Multi-Hop Networks","volume":"29","author":"Xiong","year":"2011","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1109\/TWC.2003.819032","article-title":"Joint Scheduling and Power Control for Wireless Ad Hoc Networks","volume":"30","author":"ElBatt","year":"2004","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1452","DOI":"10.1109\/JSAC.2006.879351","article-title":"A Tutorial on Cross-layer Optimization in Wireless Networks","volume":"24","author":"Lin","year":"2006","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1114","DOI":"10.1109\/SURV.2013.101813.00023","article-title":"Cross-Layer Contextual Interactions in Wireless Networks","volume":"2","author":"Edirisinghe","year":"2014","journal-title":"IEEE Commun. Surv. Tutor."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Chiang, M., Low, S.H., Calderbank, A.R., and Doyle, J.C. (2006, January 22\u201324). Layering as Optimization Decomposition: Current Status and Open Issues. Processing of the Annual Conference on Information Sciences and Systems, Princeton, NJ, USA.","DOI":"10.1109\/CISS.2006.286492"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Chiang, M., Low, S.H., Calderbank, A.R., and Doyle, J.C. (2006, January 23\u201325). Layering as Optimization Decomposition: Questions and Answers. Processing of the IEEE Military Communications Conference, Washington, DC, USA.","DOI":"10.1109\/MILCOM.2006.302293"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1109\/JPROC.2006.887322","article-title":"Layering as Optimization Decomposition: A Mathematical Theory of Network Architectures","volume":"95","author":"Chiang","year":"2007","journal-title":"IEEE Proc."},{"key":"ref_14","unstructured":"Chiang, M., Low, S.H., Calderbank, A.R., and Doyle, J.C. (2006, January 13\u201317). Layering as Optimization Decomposition: Framework and Examples. Proceedings of the IEEE Information Theory Workshop, Punta del Este, Uruguay."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Shakkottai, S., Shakkottai, S.G., and Srikant, R. (2007). Network Optimization and Control, Now Publisher.","DOI":"10.1561\/9781601981035"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Georgiadis, L., Neely, M., and Tassiulas, L. (2006). Resource Allocation and Cross-Layer Control in Wireless Networks, Now Publisher.","DOI":"10.1561\/9781933019697"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1514","DOI":"10.1109\/JSAC.2006.879361","article-title":"Joint congestion control, routing and MAC for stability and fairness in wireless networks","volume":"14","author":"Eryilamz","year":"2006","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_18","unstructured":"Lin, X., and Shroff, N.B. (2004, January 14\u201317). Joint rate control and scheduling in multihop wireless networks. In Proceedings of the IEEE Conference on Decision and Control, Paradise Island, Bahamas."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Jaradat, T., Benhaddou, D., Balakrishnan, M., and Al-Fuqaha, A. (2013, January 1\u20135). Energy Efficient Cross-Layer Routing Protocol in Wireless Sensor Networks Based on Fuzzy Logic. Proceedings of the 9th International Wireless Communication and Mobile Conference, Sardinia, Italy.","DOI":"10.1109\/IWCMC.2013.6583555"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Fathy, C., El-Hadidi, M.T., and El-Nasr, M.A. (2012, January 10\u201315). Fuzzy-based Adaptive Cross Layer Routing Protocol for Delay Sensitive Applications in MANET. Proceedings of the IEEE International Conference on Communications, Ottawa, ON, Canada.","DOI":"10.1109\/ICC.2012.6363954"},{"key":"ref_21","unstructured":"Xia, X., Ren, Q., and Liang, Q. (2006, January 3\u20136). Cross-layer Design for Mobile Ad Hoc Networks: Energy, Throughput and Delay-Aware Approach. Proceedings of the IEEE Wireless Communications and Networking Conference, Las Vegas, NV, USA."},{"key":"ref_22","unstructured":"Rea, S., and Pesch, D. (2004, January 20\u201322). Multi-Metric Routing Decisions for Ad Hoc Networks using Fuzzy Logic. Proceedings of the International Symposium on Wireless Communication Systems, Port-Louis, Mauritius."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Sonmez, C., Isik, S., Donmez, M.Y., Incel, O.D., and Ersoy, C. (2012, January 7\u201310). SUIT: A Cross Layer Image Transport Protocol with Fuzzy Logic Based Congestion Control for Wireless Multimedia Sensor Networks. Proceedings of the International Conference on New Technologies, Mobility and Security, Istanbul, Turkey.","DOI":"10.1109\/NTMS.2012.6208750"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Mhemed, M., Aslam, N., Phillips, W., and Comeau, F. (2012, January 27\u201329). An Energy Efficient Fuzzy Logic Cluster Formation Protocol in Wireless Sensor Networks. Proceedings of the 3rd International Conference on Ambient System, Networks and Technologies, Niagara Falls, ON, Canada.","DOI":"10.1016\/j.procs.2012.06.035"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2891","DOI":"10.1109\/JSEN.2012.2204737","article-title":"Fuzzy-logic-based Clustering Approach for Wireless Sensor Networks Using Energy Predication","volume":"12","author":"Lee","year":"2012","journal-title":"IEEE Sens. J."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"3010","DOI":"10.1109\/JSEN.2012.2207950","article-title":"Lifetime Enhancement in Wireless Sensor Networks Using Fuzzy Approach and A-Star Algorithm","volume":"12","author":"AlShawi","year":"2012","journal-title":"IEEE Sens. J."},{"key":"ref_27","first-page":"1","article-title":"Localized and Energy-Efficient Topology Control in Wireless Sensor Networks Using Fuzzy-Logic Control Approaches","volume":"2014","author":"Huang","year":"2014","journal-title":"Math. Probl. Eng."},{"key":"ref_28","first-page":"1","article-title":"Fuzzy-logic-based Energy Optimized Routing for Wireless Sensor Networks","volume":"2013","author":"Jiang","year":"2013","journal-title":"Int. J. Distrib. Sens. Netw."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Bhunia, S.S., Das, B., and Mukherjee, N. (2015, January 4\u20137). Multi criteria decision analysis assisted routing in wireless sensor network using fuzzy rules. Proceedings of the 2015 International Conference on Distributed Computing and Networking, Goa, India.","DOI":"10.1145\/2684464.2684499"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Viittala, H., Hamalainen, M., and Iinatti, J. (2015, January 24\u201326). Zone-based fuzzy routing for WBANs. Proceedings of the International Symposium on Medical Information and Communication Technology, Kamakura, Japan.","DOI":"10.1109\/ISMICT.2015.7107505"},{"key":"ref_31","first-page":"1","article-title":"Enhanced fuzzy logic based spray and wait routing protocol for delay tolerant networks","volume":"2014","author":"Jain","year":"2014","journal-title":"Int. J. Commun. Syst."},{"key":"ref_32","first-page":"80","article-title":"Dynamic source routing protocol for ad hoc network using the concept intelligent agent fuzzy logic","volume":"4","author":"Jain","year":"2014","journal-title":"Int. J. Eng. Manag. Res."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Singhal, A., and Daniel, A.K. (2014, January 8\u20139). Fuzzy logic based stable on-demand multipath routing protocol for mobile Ad hoc network. Proceedings of the International Conference on Advanced Computing & Communication Technologies, Rohtak, India.","DOI":"10.1109\/ACCT.2014.83"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1469","DOI":"10.1016\/j.adhoc.2012.04.004","article-title":"An energy-aware distributed clustering protocol in wireless sensor networks using fuzzy logic","volume":"10","author":"Taheri","year":"2012","journal-title":"Ad Hoc Netw."},{"key":"ref_35","first-page":"54","article-title":"Fuzzy based Energy efficient multiple cluster head selection routing protocol for wireless sensor networks","volume":"4","author":"Rana","year":"2015","journal-title":"Int. J. Comput. Netw. Inf. Secur."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1016\/j.asoc.2012.12.029","article-title":"An energy aware fuzzy approach to unequal clustering in wireless sensor networks","volume":"13","author":"Bagci","year":"2013","journal-title":"Appl. Soft Comput."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1007\/s11036-012-0356-4","article-title":"An improved fuzzy unequal clustering algorithm for wireless sensor network","volume":"18","author":"Mao","year":"2013","journal-title":"Mob. Netw. Appl."},{"key":"ref_38","first-page":"121","article-title":"An efficient cluster head selection algorithm for wireless sensor network using fuzzy inference systems","volume":"2","author":"Jahanshahi","year":"2013","journal-title":"Int. J. Smart Electr. Eng."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1080\/00207217.2012.687191","article-title":"Fuzzy logic based clustering in wireless sensor networks: A survey","volume":"100","author":"Singh","year":"2013","journal-title":"Int. J. Electron."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"966","DOI":"10.1016\/j.adhoc.2010.11.007","article-title":"A survey of cross-layer design for VANETs","volume":"9","author":"Jarupan","year":"2011","journal-title":"Ad Hoc Netw."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1109\/SURV.2011.040310.00002","article-title":"Computational Intelligence in Wireless Sensor Networks: A Survey","volume":"13","author":"Kullkarni","year":"2011","journal-title":"IEEE Commun. Surv. Tutor."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"676","DOI":"10.1109\/TFUZZ.2006.883415","article-title":"A Survey on Analysis and Design of Model-Based Fuzzy Control Systems","volume":"14","author":"Feng","year":"2006","journal-title":"IEEE Trans. Fuzzy Syst."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/8\/19541\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:50:27Z","timestamp":1760215827000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/8\/19541"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8,10]]},"references-count":42,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2015,8]]}},"alternative-id":["s150819541"],"URL":"https:\/\/doi.org\/10.3390\/s150819541","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2015,8,10]]}}}