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The supply and demand scheme satisfying these requirements is reduced into fuzzy relation inequalities (FRIs) with min\u2010product composition. Due to the difference between the min\u2010product composition and the classical max\u2010t\u2010norm one, we first study the resolution of such min\u2010product FRI system. For optimization management in the supply chain system, we further investigate a maximin programming problem subject to the min\u2010product FRIs. An algorithm is proposed to obtain the optimal solution based on the quasi\u2010maximal matrix and corresponding index set. To illustrate the efficiency of our proposed algorithm, we provide a simple numerical example. The obtained optimal solution reflects an optimal pricing scheme, which maximizes the minimum prices of the commodity from the suppliers.<\/jats:p>","DOI":"10.1155\/2019\/4960638","type":"journal-article","created":{"date-parts":[[2019,8,25]],"date-time":"2019-08-25T23:30:53Z","timestamp":1566775853000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Maximin Optimization Problem Subject to Min\u2010Product Fuzzy Relation Inequalities with Application in Supply and Demand Scheme"],"prefix":"10.1155","volume":"2019","author":[{"given":"Hai-Tao","family":"Lin","sequence":"first","affiliation":[]},{"given":"Xiao-Bin","family":"Yang","sequence":"additional","affiliation":[]},{"given":"Hui-Mei","family":"Guo","sequence":"additional","affiliation":[]},{"given":"Cai-Fen","family":"Zheng","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7516-5323","authenticated-orcid":false,"given":"Xiao-Peng","family":"Yang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,8,25]]},"reference":[{"volume-title":"Equations de Relations Floues, Th\u00e8se Biologie Humaine","year":"1972","author":"Sanchez E.","key":"e_1_2_11_1_2"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(76)90446-0"},{"key":"e_1_2_11_3_2","first-page":"221","volume-title":"Fuzzy Automata and Decision Processes","author":"Sanchez E.","year":"1977"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-1650-5"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-009-9059-0"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-001-0157-3"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-006-0050-1"},{"volume-title":"Fuzzy Sets and Fuzzy Logic: Theory and Applications","year":"1995","author":"Klir G. 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