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In this paper, a new fuzzy model is proposed for evaluation and improvement of process quality. The fuzzy ratings of the Key Performance Indicators (KPIs) are stated as fuzzy pair-wise comparison matrices (by analogy to the AHP framework). By using the developed procedure, the fuzzy weights of KPIs are given. The KPI values are based on the assessment of decision makers. The developed solution, based on the genetic algorithm approach, is presented and tested on data from 53 Serbian manufacturing SMEs. The presented solution enables quality assessment of a purchasing process, the fuzzy ranking of KPIs, the selection of critical KPIs by using an exact approach, optimization and the provision of the basis for successful improvement of purchasing process quality.<\/jats:p>","DOI":"10.3233\/ifs-151679","type":"journal-article","created":{"date-parts":[[2015,11,10]],"date-time":"2015-11-10T11:36:15Z","timestamp":1447155375000},"page":"2017-2028","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["The evaluation and improvement of process quality by using the fuzzy sets theory and genetic algorithm approach"],"prefix":"10.1177","volume":"29","author":[{"given":"Snezana","family":"Nestic","sequence":"first","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, Serbia"}]},{"given":"Aleksandar","family":"Djordjevic","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, Serbia"}]},{"given":"Hrvoje","family":"Puskaric","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, Serbia"}]},{"given":"Marija Zahar","family":"Djordjevic","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, Serbia"}]},{"given":"Danijela","family":"Tadic","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, Serbia"}]},{"given":"Miladin","family":"Stefanovic","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, Serbia"}]}],"member":"179","published-online":{"date-parts":[[2015,8,27]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207540310001626319"},{"key":"e_1_3_1_3_2","doi-asserted-by":"crossref","unstructured":"Bentley P 1999 An Introduction to Evolutionary Design by Computers Evolutionary Design by Computers Morgan Kaufmann Los Altos","DOI":"10.1007\/978-1-4471-0819-1_8"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1108\/13598540910995192"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1080\/09537287.2012.743686"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1108\/09576060310463145"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(95)00300-2"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2011.08.004"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1504\/EJIE.2012.046666"},{"key":"e_1_3_1_10_2","unstructured":"Dubois D Prade H 1980 Fuzzy Sets and Systems: Theory and Applications London Academic press Inc"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2008.07.011"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10845-010-0447-7"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1108\/09600030810857193"},{"key":"e_1_3_1_14_2","unstructured":"ISO 9000 Document: ISO\/TC 176\/SC 2\/N 544R3"},{"key":"e_1_3_1_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2004.09.016"},{"key":"e_1_3_1_16_2","author":"Kaplan SR","year":"2008","unstructured":"Kaplan SR, Norton PD 2008 The execution premium: Linking strategy to operations for competitive advantages, Harvard Business School Publishing Corporation Boston","journal-title":"The execution premium: Linking strategy to operations for competitive advantages, Harvard Business School Publishing Corporation"},{"key":"e_1_3_1_17_2","unstructured":"Klir GJ Yuan B 1995 Fuzzy sets and fuzzy logic theory and applications Prentice Hall New Jersey"},{"key":"e_1_3_1_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2006.08.022"},{"key":"e_1_3_1_19_2","doi-asserted-by":"crossref","unstructured":"Lohrmann M Manfred R 2013 \u201cUnderstanding Business Process Quality\u201d in M. 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