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In this way, several extensions of fuzzy set have been introduced to deal with uncertain and ambiguous information including relationships between objects. The q-rung picture fuzzy (q-RPF) model, which inherits the virtues of q-rung orthopair fuzzy set and picture fuzzy set, is one of the convenient way to represent such information. In order to exhibit interactions in various economic structures the conception of q-RPF economic competition graphs can be employed. Thus the intention of present study is to deal with q-rung picture fuzzy competition graphs (q-RPFCGs) and in particular, q-rung picture fuzzy economic competition graphs (q-RPFECGs) with its generalizations: q-RPF\n                    <jats:italic>k<\/jats:italic>\n                    -economic competition graphs;\n                    <jats:italic>p<\/jats:italic>\n                    -economic competition q-RPFGs; and\n                    <jats:italic>m<\/jats:italic>\n                    -step q-RPFECGs through several important results. Furthermore, this paper offers a brief review for perfect and imperfect competition in competitive market structures and sketch q-RPFECGs to represent duopoly, oligopoly, and monopolistic competitions in graph theoretic approach. Also, it designs an algorithm to calculate the strength of economic competition among buyers and sellers in imperfect competitive markets with q-RPF information.\n                  <\/jats:p>","DOI":"10.3233\/jifs-191726","type":"journal-article","created":{"date-parts":[[2020,4,17]],"date-time":"2020-04-17T12:21:34Z","timestamp":1587126094000},"page":"5107-5126","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":9,"title":["Imperfect competition models in economic market structure with q-rung picture fuzzy information"],"prefix":"10.1177","volume":"38","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wieslaw A.","family":"Dudek","sequence":"additional","affiliation":[{"name":"Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. 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