{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:37:37Z","timestamp":1777703857416,"version":"3.51.4"},"reference-count":32,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2019,12,23]],"date-time":"2019-12-23T00:00:00Z","timestamp":1577059200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2019,12,23]]},"abstract":"<jats:p>\n                    \u00a0In this paper, we present the notion of\n                    <jats:italic>m<\/jats:italic>\n                    -polar fuzzy number(\n                    <jats:italic>m<\/jats:italic>\n                    -PFN) along with some properties. Further, we describe the\n                    <jats:italic>m<\/jats:italic>\n                    -polar fuzzy linear system of equations (\n                    <jats:italic>m<\/jats:italic>\n                    -PFLSEs) along with weak and strong solutions. Moreover, we characterize a new technique to find the solution of fully\n                    <jats:italic>m<\/jats:italic>\n                    -PFLSE using one-cut extension. By applying this technique, we calculate the minimal and maximal symmetric solutions (SSs) of the fully\n                    <jats:italic>m<\/jats:italic>\n                    -PFLSEs which based on a controllable solution set (CSS) and a tolerable solution set (TSS), respectively. We consider an example to find the solutions of fully\n                    <jats:italic>m<\/jats:italic>\n                    -PFLSEs. In the end, we prove some elementary results on the base of our proposed method.\n                  <\/jats:p>","DOI":"10.3233\/jifs-190744","type":"journal-article","created":{"date-parts":[[2019,12,24]],"date-time":"2019-12-24T07:59:16Z","timestamp":1577174356000},"page":"8251-8266","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":14,"title":["Linear system of equations in\n                    <i>m<\/i>\n                    -polar fuzzy environment"],"prefix":"10.1177","volume":"37","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Punjab, Lahore, Pakistan"}]},{"given":"Danish","family":"Saleem","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, Lahore, Pakistan"}]},{"given":"Tofigh","family":"Allahviranloo","sequence":"additional","affiliation":[{"name":"Faculty of Engineering and 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