{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T04:58:21Z","timestamp":1764997101397},"reference-count":39,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Info. Tech. Dec. Mak."],"published-print":{"date-parts":[[2017,3]]},"abstract":"<jats:p>This paper presents an integrated model based on a compromised solution method to solve fuzzy belief multi-objective large-scale nonlinear programming (FBMOLSNLP) problem with block angular structure. A new method is proposed to transfer each belief decision-making problem into some fuzzy problems. Furthermore, we propose a new compromise method of decision-making as one of the most efficient methods based on the particular measure of closeness to the ideal solution to aggregate multi-objective decision-making (MODM) problems into a single problem. The decomposition algorithm based on Dantzig\u2013Wolfe is utilized to reduce the large-dimensional objective space into a two-dimensional space. Then, Zimmerman method is applied to transfer each bi-objective to a single-objective. Moreover, TOPSIS and VIKOR are utilized as two independent solution methods to aggregate each multi-objective sub-problem. Finally, a new single-objective nonlinear programming problem is solved to find the final solution. To justify the proposed model, two illustrative examples are provided, and the results of three decision methods are compromised.<\/jats:p>","DOI":"10.1142\/s0219622017500043","type":"journal-article","created":{"date-parts":[[2016,11,23]],"date-time":"2016-11-23T06:25:01Z","timestamp":1479882301000},"page":"333-387","source":"Crossref","is-referenced-by-count":8,"title":["A New Compromise Solution Model Based on Dantzig\u2013Wolfe Decomposition for Solving Belief Multi-Objective Nonlinear Programming Problems with Block Angular Structure"],"prefix":"10.1142","volume":"16","author":[{"given":"Behnam","family":"Vahdani","sequence":"first","affiliation":[{"name":"Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Meghdad","family":"Salimi","sequence":"additional","affiliation":[{"name":"Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Seyed Meysam","family":"Mousavi","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2017,3,9]]},"reference":[{"key":"S0219622017500043BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.12.087"},{"key":"S0219622017500043BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2008.03.016"},{"key":"S0219622017500043BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.02.137"},{"key":"S0219622017500043BIB004","volume-title":"Operations Research: Applications and Algorithms","author":"Winston W. 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