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In this paper we establish an evaluation model by the satisfaction degree, for comparing two arbitrary potential solutions of such system. Besides, based on the evaluation model, concept of approximate solution is defined. It is indeed a potential solution with highest satisfaction degree. Furthermore, effective algorithm is developed for obtaining the approximate solutions to inconsistent system. Numerical examples are provided to illustrate our proposed model and algorithm.<\/jats:p>","DOI":"10.1155\/2019\/6901818","type":"journal-article","created":{"date-parts":[[2019,3,14]],"date-time":"2019-03-14T23:36:56Z","timestamp":1552606616000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Evaluation Model and Approximate Solution to Inconsistent Max\u2010Min Fuzzy Relation Inequalities in P2P File Sharing System"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7516-5323","authenticated-orcid":false,"given":"Xiao-Peng","family":"Yang","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,3,14]]},"reference":[{"key":"e_1_2_10_1_2","first-page":"38","article-title":"Resolution of composite fuzzy relation equations","volume":"30","author":"Sanchez E.","year":"1976","journal-title":"Information and Computation"},{"key":"e_1_2_10_2_2","first-page":"221","volume-title":"Fuzzy Automata and Decision Processes","author":"Sanchez E.","year":"1977"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(82)90043-4"},{"key":"e_1_2_10_4_2","first-page":"67","article-title":"How many lower solutions does a fuzzy relation equation have?","volume":"18","author":"Wang P. 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