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The discrete binary particle swarm optimization (BPSO) algorithm maps the continuous search space to a binary space through a new transfer function, and the update process is designed to switch the position of the particles between 0 and 1 in the binary search space. Aiming at the existed BPSO algorithms which are easy to fall into the local optimum, a new Z-shaped probability transfer function is proposed to map the continuous search space to a binary space. By adopting nine typical benchmark functions, the proposed Z-probability transfer function and the V-shaped and S-shaped transfer functions are used to carry out the performance simulation experiments. The results show that the proposed Z-shaped probability transfer function improves the convergence speed and optimization accuracy of the BPSO algorithm.<\/jats:p>","DOI":"10.1155\/2020\/6502807","type":"journal-article","created":{"date-parts":[[2020,6,8]],"date-time":"2020-06-08T23:31:50Z","timestamp":1591659110000},"page":"1-21","source":"Crossref","is-referenced-by-count":52,"title":["Z-Shaped Transfer Functions for Binary Particle Swarm Optimization Algorithm"],"prefix":"10.1155","volume":"2020","author":[{"given":"Sha-sha","family":"Guo","sequence":"first","affiliation":[{"name":"School of Electronic and Information Engineering, University of Science & Technology Liaoning, Anshan 114044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8853-1927","authenticated-orcid":true,"given":"Jie-sheng","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, University of Science & Technology Liaoning, Anshan 114044, China"},{"name":"National Financial Security and System Equipment Engineering Research Center, University of Science & Technology Liaoning, Anshan 114044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Meng-wei","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, University of Science & Technology Liaoning, Anshan 114044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.08.015"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.82.094116"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1142\/S0217979217500230"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2016.2614659"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2017.12.169"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2012.04.069"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.01.038"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvcir.2003.12.001"},{"issue":"19","key":"13","first-page":"129","volume":"43","year":"2013","journal-title":"Mathematics in Practice and Theory"},{"issue":"23","key":"14","first-page":"205","volume":"44","year":"2014","journal-title":"Mathematics in Practice and Theory"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-013-1525-5"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1504\/ijbic.2014.060598"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1177\/1687814016685294"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2015.06.083"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2017.08.002"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1080\/0305215X.2019.1624740"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1080\/0305215X.2018.1463527"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2012.09.002"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.pnsc.2008.03.018"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1007\/s11047-009-9175-3"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.future.2019.07.015"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-014-1629-6"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.12.016"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/2782679"}],"container-title":["Computational Intelligence and Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2020\/6502807.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2020\/6502807.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2020\/6502807.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,8]],"date-time":"2020-06-08T23:31:53Z","timestamp":1591659113000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/cin\/2020\/6502807\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,8]]},"references-count":24,"alternative-id":["6502807","6502807"],"URL":"https:\/\/doi.org\/10.1155\/2020\/6502807","relation":{},"ISSN":["1687-5265","1687-5273"],"issn-type":[{"value":"1687-5265","type":"print"},{"value":"1687-5273","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,8]]}}}