{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:26:51Z","timestamp":1777703211898,"version":"3.51.4"},"reference-count":48,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2019,6,11]],"date-time":"2019-06-11T00:00:00Z","timestamp":1560211200000},"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":[[2019,6,11]]},"abstract":"<jats:p>\n                    The theory of soft sets is a powerful mathematical tool to handle the vagueness in data, while the\n                    <jats:italic>m<\/jats:italic>\n                    -polar fuzzy (\n                    <jats:italic>m<\/jats:italic>\n                    F, for short) sets have ability to deal with uncertainty as well as multi-polarity of the data in many situations. In this research article we present two novel hybrid models for soft computing, namely,\n                    <jats:italic>m<\/jats:italic>\n                    -polar fuzzy\n                    <jats:italic>N<\/jats:italic>\n                    -soft sets ((\n                    <jats:italic>m<\/jats:italic>\n                    ,\n                    <jats:italic>N<\/jats:italic>\n                    )-soft sets, for short) and\n                    <jats:italic>m<\/jats:italic>\n                    -polar fuzzy\n                    <jats:italic>N<\/jats:italic>\n                    -soft rough sets ((\n                    <jats:italic>m<\/jats:italic>\n                    ,\n                    <jats:italic>N<\/jats:italic>\n                    )-soft rough sets, for short). We define related concepts and investigate some of their fundamental properties. We also present applications of these hybrid models to multi-attribute decision-making.\n                  <\/jats:p>","DOI":"10.3233\/jifs-182616","type":"journal-article","created":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T15:42:38Z","timestamp":1560526958000},"page":"6325-6342","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":18,"title":["Hybrid multi-attribute decision-making model based on (\n                    <i>m<\/i>\n                    ,\n                    <i>N<\/i>\n                    )-soft rough sets"],"prefix":"10.1177","volume":"36","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}]},{"given":"Ghous","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}]},{"given":"Jos\u00e9 Carlos R.","family":"Alcantud","sequence":"additional","affiliation":[{"name":"BORDA Research Unit and IME, University of Salamanca, 37007 Salamanca, Spain"}]}],"member":"179","published-online":{"date-parts":[[2019,6,11]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2018.07.060"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-18244"},{"key":"e_1_3_2_4_2","first-page":"1","volume-title":"Studies in Fuzziness and Soft Computing","author":"Akram M.","year":"2019","unstructured":"AkramM., m-Polar fuzzy graphs-theory, methods & applications, Studies in Fuzziness and Soft Computing 371 (2019), 1\u2013284. 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