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Graphical networks can be studied more precisely in connection with directed influenced flows, emphasizing the need of a mathematical approach for connectivity analysis. Our main focus in this research study is to generalize the concept of connectivity of fuzzy graphs to rough fuzzy digraphs (RFDs). We introduce the strength of connectedness between vertices, present different types of arcs in RFDs and investigate their properties. Moreover, we discuss the measures of connectivity, connectivity index, average connectivity index and isomorphism properties of partial rough fuzzy subdigraphs and spanning rough fuzzy subdigraphs. We apply various measures of connectivity to real world networks and with the help of connectivity reducing vertices, connectivity enhancing vertices and neutral vertices, we identify the most effective countries for human trafficking. Finally, we design an algorithm to describe the method discussed in the real world problem.<\/jats:p>","DOI":"10.3233\/jifs-181751","type":"journal-article","created":{"date-parts":[[2019,1,4]],"date-time":"2019-01-04T10:35:11Z","timestamp":1546598111000},"page":"449-465","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":20,"title":["A new approach to compute measures of connectivity in rough fuzzy network models"],"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"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fariha","family":"Zafar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2018,1,4]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.07.037"},{"key":"e_1_3_2_3_2","first-page":"531","article-title":"Bipolar fuzzy digraphs in decision support systems","volume":"27","author":"Akram M.","year":"2016","unstructured":"AkramM., AlshehriN., DavvazB. and AshrafA., Bipolar fuzzy digraphs in decision support systems, J Multiple-Valued Logic and Soft Computing 27 (2016), 531\u2013551.","journal-title":"J Multiple-Valued Logic and Soft Computing"},{"key":"e_1_3_2_4_2","article-title":"Rough fuzzy digraphs with application","author":"Akram M.","year":"2018","unstructured":"AkramM. and ZafarF., Rough fuzzy digraphs with application, Journal of Applied Mathematics and Computing (2018). doi: 10.1007\/s12190-018-1171-2.","journal-title":"Journal of Applied Mathematics and Computing"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-18017"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(96)00081-3"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8655(87)90012-2"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(03)00157-9"},{"issue":"1","key":"e_1_3_2_9_2","first-page":"57","article-title":"On degrees of end nodes and cut nodes in fuzzy graphs","volume":"1","author":"Bhutani K.R.","year":"2004","unstructured":"BhutaniK.R., ModersonJ.N. and RosenfeldA., On degrees of end nodes and cut nodes in fuzzy graphs, Iranian Journal of Fuzzy Systems 1(1) (2004), 57\u201364.","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(02)00411-5"},{"key":"e_1_3_2_11_2","article-title":"Connectivity index of a fuzzy graph and its application to human trafficking","author":"Binu M.","year":"2018","unstructured":"BinuM., MathewS. and MordesonJ.N., Connectivity index of a fuzzy graph and its application to human trafficking, Fuzzy Sets and Systems (2018) doi: 10.1016\/j.fss.2018.06.007.","journal-title":"Fuzzy Sets and Systems"},{"key":"e_1_3_2_12_2","first-page":"345","article-title":"On rough sets and fuzzy rough sets","volume":"42","author":"Biswas R.","year":"1994","unstructured":"BiswasR., On rough sets and fuzzy rough sets, Bulletin of the Polish Academy of Sciences Mathematics 42 (1994), 345\u2013349.","journal-title":"Bulletin of the Polish Academy of Sciences Mathematics"},{"key":"e_1_3_2_13_2","first-page":"352","article-title":"On rough fuzzy sets","volume":"42","author":"Biswas R.","year":"1994","unstructured":"BiswasR., On rough fuzzy sets, Bulletin of the Polish Academy of Sciences Mathematics 42 (1994), 352\u2013355.","journal-title":"Bulletin of the Polish Academy of Sciences Mathematics"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00414-4"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1142\/S1793005718500047"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1080\/03081079008935107"},{"key":"e_1_3_2_17_2","unstructured":"KauffmanA. 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