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We discuss this point in detail by giving some numerical examples. Moreover, we investigate\n                    <jats:italic>m<\/jats:italic>\n                    \u00a0\u00d7\u00a0\n                    <jats:italic>n<\/jats:italic>\n                    inconsistent bipolar fuzzy matrix equation and find the least square solution of the inconsistent bipolar fuzzy matrix using the generalized inverse matrix theory. The existence of the strong bipolar fuzzy least square solution of the inconsistent bipolar fuzzy matrix is discussed. In the end, a numerical example is presented to illustrate our proposed method.\n                  <\/jats:p>","DOI":"10.3233\/jifs-201187","type":"journal-article","created":{"date-parts":[[2020,10,2]],"date-time":"2020-10-02T13:40:46Z","timestamp":1601646046000},"page":"3329-3349","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["<i>LU<\/i>\n                    Decomposition method to solve bipolar fuzzy linear systems"],"prefix":"10.1177","volume":"39","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ghulam","family":"Muhammad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tofigh","family":"Allahviranloo","sequence":"additional","affiliation":[{"name":"Bahcesehir University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nawab","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,9,30]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.02.018"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.07.036"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.01.110"},{"key":"e_1_3_2_5_2","first-page":"638","article-title":"Minimal solution of general dual fuzzy linear systems","volume":"29","author":"Abbasbandy S.","year":"2008","unstructured":"AbbasbandyS., OtadiM. and MoslehM., Minimal solution of general dual fuzzy linear systems, Chaos Solitons Fract 29 (2008), 638\u2013652.","journal-title":"Chaos Solitons Fract"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10726-018-9606-6"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-019-0814-8"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-190764"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7080728"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-190744"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-020-01256-x"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00793-8"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.02.020"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.07.048"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.08.047"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2010.02.042"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.10.042"},{"key":"e_1_3_2_18_2","unstructured":"Ben-IsraelA. and GrevilleT.N.E. 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