{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T00:42:12Z","timestamp":1777941732756,"version":"3.51.4"},"reference-count":12,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Operations Research"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>The performance of a genetic algorithm is dependent on the genetic operators, in general, and on the type of crossover operator, in particular. The population diversity is usually used as the performance measure for the premature convergence. In this paper, a fuzzy genetic algorithm is proposed for solving binary encoded combinatorial optimization problems. A new crossover operator and probability selection technique is proposed based on the population diversity using a fuzzy logic controller. The measurement of the population diversity is based on the genotype and phenotype properties. In this fuzzy inference system, the selection of the crossover operator and its probability are controlled by a set of fuzzy rules derived from the fuzzy logic controller. Extensive computational experiments are conducted on the proposed algorithm, and the results are compared with some crossover operators commonly used for solving multidimensional 0\/1 knapsack problems published in the literature. The results indicate that the proposed algorithm is effective in finding better quality solutions.<\/jats:p>","DOI":"10.1155\/2012\/956498","type":"journal-article","created":{"date-parts":[[2012,2,13]],"date-time":"2012-02-13T21:02:01Z","timestamp":1329166921000},"page":"1-16","source":"Crossref","is-referenced-by-count":23,"title":["A Genetic Algorithm with Fuzzy Crossover Operator and Probability"],"prefix":"10.1155","volume":"2012","author":[{"given":"Mohammad","family":"Jalali Varnamkhasti","sequence":"first","affiliation":[{"name":"Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia"},{"name":"Department of Basic Science, Islamic Azad University, Dolatabad Branch, Dolatabad, Esfahan, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lai Soon","family":"Lee","sequence":"additional","affiliation":[{"name":"Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia"},{"name":"Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohd Rizam","family":"Abu Bakar","sequence":"additional","affiliation":[{"name":"Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia"},{"name":"Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wah June","family":"Leong","sequence":"additional","affiliation":[{"name":"Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia"},{"name":"Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"issue":"9","key":"1","first-page":"443","volume":"3","year":"2008","journal-title":"International Journal of Contemporary Mathematical Sciences"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01530777"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/21.286385"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1080\/002077299292290"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1023\/A:1012815625611"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023499201829"},{"issue":"1","key":"18","first-page":"85","volume":"23","year":"2001","journal-title":"Journal of University of Science and Technology Beijing"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00385-0"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1007\/s10015-008-0545-1"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02187-9_3"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1023\/A:1009642405419"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1023\/A:1009642405419"}],"container-title":["Advances in Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2012\/956498.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2012\/956498.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aor\/2012\/956498.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,2]],"date-time":"2016-08-02T23:53:19Z","timestamp":1470181999000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/aor\/2012\/956498\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":12,"alternative-id":["956498","956498"],"URL":"https:\/\/doi.org\/10.1155\/2012\/956498","relation":{},"ISSN":["1687-9147","1687-9155"],"issn-type":[{"value":"1687-9147","type":"print"},{"value":"1687-9155","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}