{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,1,8]],"date-time":"2023-01-08T05:41:01Z","timestamp":1673156461082},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,8,19]],"date-time":"2021-08-19T00:00:00Z","timestamp":1629331200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,8,19]],"date-time":"2021-08-19T00:00:00Z","timestamp":1629331200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2022,2]]},"DOI":"10.1007\/s10898-021-01069-0","type":"journal-article","created":{"date-parts":[[2021,8,19]],"date-time":"2021-08-19T18:03:37Z","timestamp":1629396217000},"page":"375-387","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Improperly efficient solutions in a class of vector optimization problems"],"prefix":"10.1007","volume":"82","author":[{"given":"Nguyen Thi Thu","family":"Huong","sequence":"first","affiliation":[]},{"given":"Nguyen Dong","family":"Yen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,8,19]]},"reference":[{"key":"1069_CR1","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1016\/0022-247X(79)90226-9","volume":"71","author":"B Benson","year":"1979","unstructured":"Benson, B.: An improved definition of proper efficiency for vector maximization with respect to cones. J. Math. Anal. Appl. 71, 232\u2013241 (1979)","journal-title":"J. Math. Anal. Appl."},{"key":"1069_CR2","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1137\/0315004","volume":"15","author":"JM Borwein","year":"1977","unstructured":"Borwein, J.M.: Proper efficient points for maximizations with respect to cones. SIAM J. Control Optim. 15, 57\u201363 (1977)","journal-title":"SIAM J. Control Optim."},{"key":"1069_CR3","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1287\/opre.32.1.216","volume":"32","author":"EU Choo","year":"1984","unstructured":"Choo, E.U.: Proper efficiency and the linear fractional vector maximum problem. Oper. Res. 32, 216\u2013220 (1984)","journal-title":"Oper. Res."},{"key":"1069_CR4","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1007\/BF00933830","volume":"36","author":"EU Choo","year":"1982","unstructured":"Choo, E.U., Atkins, D.R.: Bicriteria linear fractional programming. J. Optim. Theory Appl. 36, 203\u2013220 (1982)","journal-title":"J. Optim. Theory Appl."},{"key":"1069_CR5","doi-asserted-by":"publisher","first-page":"250","DOI":"10.1287\/mnsc.29.2.250","volume":"29","author":"EU Choo","year":"1983","unstructured":"Choo, E.U., Atkins, D.R.: Connectedness in multiple linear fractional programming. Manag. Sci. 29, 250\u2013255 (1983)","journal-title":"Manag. Sci."},{"key":"1069_CR6","doi-asserted-by":"publisher","first-page":"613","DOI":"10.1016\/0022-247X(68)90201-1","volume":"22","author":"AM Geoffrion","year":"1968","unstructured":"Geoffrion, A.M.: Proper efficiency and the theory of vector maximization. J. Math. Anal. Appl. 22, 613\u2013630 (1968)","journal-title":"J. Math. Anal. Appl."},{"key":"1069_CR7","doi-asserted-by":"crossref","first-page":"477","DOI":"10.3934\/jimo.2005.1.477","volume":"1","author":"TN Hoa","year":"2005","unstructured":"Hoa, T.N., Phuong, T.D., Yen, N.D.: Linear fractional vector optimization problems with many components in the solution sets. J. Ind. Manag. Optim. 1, 477\u2013486 (2005)","journal-title":"J. Ind. Manag. Optim."},{"key":"1069_CR8","first-page":"2579","volume":"20","author":"NTT Huong","year":"2019","unstructured":"Huong, N.T.T., Luan, N.N., Yen, N.D., Zhao, X.P.: The Borwein proper efficiency in linear fractional vector optimization. J. Nonlinear Convex Anal. 20, 2579\u20132595 (2019)","journal-title":"J. Nonlinear Convex Anal."},{"key":"1069_CR9","doi-asserted-by":"crossref","unstructured":"Huong, N.T.T., Wen, C.-F., Yao, J.-C., Yen N.D.: Proper efficiency in linear fractional vector optimization via Benson\u2019s characterization. Preprint, submitted (2020)","DOI":"10.1007\/s10898-020-00927-7"},{"key":"1069_CR10","doi-asserted-by":"publisher","first-page":"889","DOI":"10.1080\/02331934.2016.1172073","volume":"66","author":"NTT Huong","year":"2017","unstructured":"Huong, N.T.T., Yao, J.-C., Yen, N.D.: Connectedness structure of the solution sets of vector variational inequalities. Optimization 66, 889\u2013901 (2017)","journal-title":"Optimization"},{"key":"1069_CR11","doi-asserted-by":"crossref","unstructured":"Huong, N.T.T., Yao, J.-C., Yen, N.D.: Geoffrion\u2019s proper efficiency in linear fractional vector optimization with unbounded constraint sets. J. Global Optim. 78, 545\u2013562 (2020)","DOI":"10.1007\/s10898-020-00927-7"},{"key":"1069_CR12","doi-asserted-by":"publisher","unstructured":"Huong, N.T.T., Yao, J.-C., Yen N.D.: New results on proper efficiency for a class of vector optimization problems. Appl. Anal. (2020). https:\/\/doi.org\/10.1080\/00036811.2020.1712373","DOI":"10.1080\/00036811.2020.1712373"},{"key":"1069_CR13","volume-title":"Quadratic Programming and Affine Variational Inequalities: A Qualitative Study Series: Nonconvex Optimization and its Applications","author":"GM Lee","year":"2005","unstructured":"Lee, G.M., Tam, N.N., Yen, N.D.: Quadratic Programming and Affine Variational Inequalities: A Qualitative Study Series: Nonconvex Optimization and its Applications, vol. 78. Springer, New York (2005)"},{"key":"1069_CR14","unstructured":"Malivert C.: Multicriteria fractional programming. In: Sofonea, M., Corvellec, J.N. (eds.) Proceedings of the 2nd Catalan Days on Applied Mathematics. Presses Universitaires de Perpinan, pp. 189\u2013198 (1995)"},{"key":"1069_CR15","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1007\/BFb0120850","volume":"10","author":"SM Robinson","year":"1979","unstructured":"Robinson, S.M.: Generalized equations and their solutions, part I: basic theory. Math. Program. Study 10, 128\u2013141 (1979)","journal-title":"Math. Program. Study"},{"key":"1069_CR16","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"RT Rockafellar","year":"1970","unstructured":"Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1970)"},{"key":"1069_CR17","volume-title":"Multiple Criteria Optimization: Theory Computation and Application","author":"RE Steuer","year":"1986","unstructured":"Steuer, R.E.: Multiple Criteria Optimization: Theory Computation and Application. Wiley, New York (1986)"},{"key":"1069_CR18","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1007\/978-3-642-21114-0_9","volume-title":"Recent Developments in Vector Optimization","author":"ND Yen","year":"2012","unstructured":"Yen, N.D.: Linear fractional and convex quadratic vector optimization problems. In: Ansari, Q.H., Yao, J.-C. (eds.) Recent Developments in Vector Optimization, pp. 297\u2013328. Springer, Berlin (2012)"},{"key":"1069_CR19","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1080\/02331934.2010.505650","volume":"60","author":"ND Yen","year":"2011","unstructured":"Yen, N.D., Yao, J.-C.: Monotone affine vector variational inequalities. Optimization 60, 53\u201368 (2011)","journal-title":"Optimization"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-021-01069-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10898-021-01069-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-021-01069-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,7]],"date-time":"2023-01-07T17:12:29Z","timestamp":1673111549000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10898-021-01069-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,19]]},"references-count":19,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["1069"],"URL":"https:\/\/doi.org\/10.1007\/s10898-021-01069-0","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,8,19]]},"assertion":[{"value":"11 December 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 August 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 August 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}