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To enhance its usefulness in dealing with complex practical issues, this paper first proposes the new concept of <jats:italic>q<\/jats:italic>\u2010rung orthopair trapezoidal fuzzy numbers (<jats:italic>q<\/jats:italic>\u2010ROTrFNs) which is a new and useful extension of <jats:italic>q<\/jats:italic>\u2010ROFNs. Then, we investigate the operation of <jats:italic>q<\/jats:italic>\u2010ROTrFNs and develop a new ranking method for <jats:italic>q<\/jats:italic>\u2010ROTrFNs. We also propose a new <jats:italic>q<\/jats:italic>\u2010rung orthopair trapezoidal fuzzy Hamming distance measure. More important, we develop a useful <jats:italic>q<\/jats:italic>\u2010rung orthopair trapezoidal fuzzy modified TODIM group decision\u2010making method. In this method, a new <jats:italic>q<\/jats:italic>\u2010rung orthopair trapezoidal fuzzy weighted aggregating (<jats:italic>q<\/jats:italic>\u2010ROTrFWA) operator is developed to integrate individual decision matrices into the collective decision matrix, and a <jats:italic>q<\/jats:italic>\u2010rung orthopair trapezoidal fuzzy distance measure\u2010based compromise approach is proposed to determine the relative dominance degree of alternatives. It is worth to mention that the modified TODIM method not only expands the freedom of decision makers but also allows decision makers to choose the appropriate risk preference parameter. Finally, a case study on health management of hypertensive patients is conducted to demonstrate the feasibility of the modified TODIM group decision\u2010making method, and the developed method is further verified by comparison analysis with the existing methods and sensitive analysis of different parameters.<\/jats:p>","DOI":"10.1155\/2021\/4269394","type":"journal-article","created":{"date-parts":[[2021,11,9]],"date-time":"2021-11-09T18:57:38Z","timestamp":1636484258000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Modified TODIM Based on Compromise Distance for MAGDM with <i>q<\/i>\u2010Rung Orthopair Trapezoidal Fuzzy 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