{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,8]],"date-time":"2025-11-08T22:38:23Z","timestamp":1762641503477,"version":"3.41.2"},"reference-count":42,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,9,13]],"date-time":"2012-09-13T00:00:00Z","timestamp":1347494400000},"content-version":"vor","delay-in-days":256,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We propose two new methods to find the solution of fuzzy goal programming (FGP) problem by weighting method. Here, the relative weights represent the relative importance of the objective functions. The proposed methods involve one additional goal constraint by introducing only underdeviation variables to the fuzzy operator <jats:italic>\u03bb<\/jats:italic> (resp., 1\u2010<jats:italic>\u03bb<\/jats:italic>), which is more efficient than some well\u2010known existing methods such as those proposed by Zimmermann, Hannan, Tiwari, and Mohamed. Mohamed proposed that every fuzzy linear program has an equivalent weighted linear goal program where the weights are restricted as the reciprocals of the admissible violation constants. But the above proposition of Mohamed is not always true. Furthermore, the proposed methods are easy to apply in real\u2010life situations which give better solution in the sense that the objective values are sufficiently closer to their aspiration levels. Finally, for illustration, two real examples are used to demonstrate the correctness and usefulness of the proposed methods.<\/jats:p>","DOI":"10.1155\/2012\/796028","type":"journal-article","created":{"date-parts":[[2012,9,14]],"date-time":"2012-09-14T18:10:32Z","timestamp":1347646232000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Two Weighted Fuzzy Goal Programming Methods to Solve Multiobjective Goal Programming Problem"],"prefix":"10.1155","volume":"2012","author":[{"given":"Mousumi","family":"Gupta","sequence":"first","affiliation":[]},{"given":"Debasish","family":"Bhattacharjee","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,9,13]]},"reference":[{"key":"e_1_2_11_1_2","first-page":"138","article-title":"Optimal estimation of executive compensation by linear programming","volume":"1","author":"Charnes A.","year":"1955","journal-title":"Journal of the Institute of Management Science"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2007.09.039"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.omega.2005.07.009"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2007.09.008"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(86)90084-6"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1080\/00137917608902798"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.4135\/9781412984669"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0360-8352(88)90023-X"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(81)90029-1"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1002\/nav.3800090303"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(94)90257-7"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2007.12.007"},{"key":"e_1_2_11_13_2","first-page":"338","article-title":"Fuzzy sets","volume":"8","author":"Zadeh L. 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