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This paper discusses the portfolio selection problem in such a circumstance. Security returns are considered as uncertain variables, and a new mean-variance model with transaction costs and minimum transaction lots is established. In addition, the impact of minimum transaction lots requirement and transaction costs on optimal portfolio is discussed and a genetic algorithm for solving the optimization model is given. As an illustration, a numerical example is provided.<\/jats:p>","DOI":"10.3233\/jifs-169218","type":"journal-article","created":{"date-parts":[[2017,5,26]],"date-time":"2017-05-26T14:44:32Z","timestamp":1495809872000},"page":"4543-4554","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Uncertain portfolio selection model considering transaction costs and minimum transaction lots requirement"],"prefix":"10.1177","volume":"32","author":[{"given":"Chao","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Finance, Zhejiang University of Finance &amp; Economics, HangZhou, China"}]},{"given":"Rui","family":"Hu","sequence":"additional","affiliation":[{"name":"Beijing City University, Beijing, China"}]},{"given":"Lirong","family":"Wei","sequence":"additional","affiliation":[{"name":"Donglinks School of Economics and Management, University of Science and Technology Beijing, Beijing, China"}]}],"member":"179","published-online":{"date-parts":[[2017,5,23]]},"reference":[{"key":"e_1_3_1_2_2","first-page":"68","article-title":"Thinking coherently","volume":"10","author":"Artzner P.","year":"1997","unstructured":"ArtznerP., DelbaenF., EberJ. and HeathD., Thinking coherently, Risk 10 (1997), 68\u201371.","journal-title":"Risk"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.2469\/faj.v46.n6.73"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jbankfin.2007.12.032"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1080\/1350486042000254015"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(02)00785-3"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(98)00258-6"},{"key":"e_1_3_1_8_2","volume-title":"Genetic Algorithms in Search Optimization, and Machine Learning","author":"Goldberg D.E.","year":"1989","unstructured":"GoldbergD.E., Genetic Algorithms in Search Optimization, and Machine Learning. 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