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Such a systematically constructed matrix performs better than the direct influence matrix because of the consideration of alternatives under certain criteria\/attributes. Implementation of such influence matrix improves an influence model and group decision process. In this paper, TOPSIS is used for individual as well as group decisions. Once the decisions are reached by individuals with the help of TOPSIS, then coefficients of relative closeness are obtained and matrix of interpersonal influences is constructed. This matrix is used in influence model and to construct the influenced decision matrices. These influenced decision matrices are aggregated to get the collective decision. This strategy is based on the fact that the decisions taken by individuals affect their collective decision in future.<\/jats:p>","DOI":"10.3233\/jifs-200833","type":"journal-article","created":{"date-parts":[[2020,9,29]],"date-time":"2020-09-29T15:56:09Z","timestamp":1601394969000},"page":"7537-7546","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Influence model and doubly extended TOPSIS with TOPSIS based matrix of interpersonal influences"],"prefix":"10.1177","volume":"39","author":[{"given":"Asma","family":"Mahmood","sequence":"first","affiliation":[{"name":"Department of Mathematics, GC University, Faisalabad, Pakistan"}]},{"given":"Mujahid","family":"Abbas","sequence":"additional","affiliation":[{"name":"Department of Mathematics, GC University, Lahore, Pakistan"}]}],"member":"179","published-online":{"date-parts":[[2020,9,28]]},"reference":[{"issue":"1","key":"e_1_3_1_2_2","first-page":"31","article-title":"A survey on multicriteria decision making methods and its applications","volume":"1","author":"Aruldoss M.","year":"2013","unstructured":"AruldossM., LakshmiT.M. and VenkatesanV.P., A survey on multicriteria decision making methods and its applications, American Journal of Information Systems 1(1) (2013), 31\u201343.","journal-title":"American Journal of Information Systems"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eij.2014.03.002"},{"issue":"1","key":"e_1_3_1_4_2","first-page":"53","article-title":"A decision making method by combining TOPSIS and grey relation method under fuzzy soft sets","volume":"8","author":"Eraslan S.","year":"2017","unstructured":"EraslanS. and CagmanN., A decision making method by combining TOPSIS and grey relation method under fuzzy soft sets, Sigma Journal of Engineering and Natural Sciences 8(1) (2017), 53\u201364.","journal-title":"Sigma Journal of Engineering and Natural Sciences"},{"key":"e_1_3_1_5_2","first-page":"30","article-title":"A group decision making method based on TOPSIS under fuzzy soft environment","volume":"3","author":"Eraslan S.","year":"2015","unstructured":"EraslanS. and KaraaslanF., A group decision making method based on TOPSIS under fuzzy soft environment, Journal of New Theory 3 (2015), 30\u201340.","journal-title":"Journal of New Theory"},{"key":"e_1_3_1_6_2","doi-asserted-by":"crossref","unstructured":"WangL. 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