{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T10:20:04Z","timestamp":1774261204856,"version":"3.50.1"},"reference-count":66,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2019,10,5]],"date-time":"2019-10-05T00:00:00Z","timestamp":1570233600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2019,10,5]],"date-time":"2019-10-05T00:00:00Z","timestamp":1570233600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/S001328\/1"],"award-info":[{"award-number":["EP\/S001328\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/R024162\/1"],"award-info":[{"award-number":["EP\/R024162\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/P006930\/1"],"award-info":[{"award-number":["EP\/P006930\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Intell Manuf"],"published-print":{"date-parts":[[2019,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Build orientation determination is one of the essential process planning tasks in additive manufacturing since it has crucial effects on the part quality, post-processing, build time and cost, etc. This paper introduces a method based on fuzzy multi-attribute decision making to determine the optimal build orientation from a finite set of alternatives. The determination process includes two major steps. In the first step, attributes that are considered in the determination and heterogeneous relationships of which are firstly identified. A fuzzy decision matrix is then constructed and normalised based on the values of the identified attributes, which are quantified by a set of fuzzy numbers. In the second step, two fuzzy number aggregation operators are developed to aggregate the fuzzy information in the normalised matrix. By comparing the aggregation results, a ranking of all alternative build orientations can then be generated. Two determination examples are used to demonstrate the working process of the proposed method. Qualitative and quantitative comparisons between the proposed method and other methods are carried out to demonstrate its feasibility, effectiveness, and advantages.<\/jats:p>","DOI":"10.1007\/s10845-019-01497-6","type":"journal-article","created":{"date-parts":[[2019,10,5]],"date-time":"2019-10-05T12:02:46Z","timestamp":1570276966000},"page":"3015-3034","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":39,"title":["Determination of optimal build orientation for additive manufacturing using Muirhead mean and prioritised average operators"],"prefix":"10.1007","volume":"30","author":[{"given":"Yuchu","family":"Qin","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5936-1714","authenticated-orcid":false,"given":"Qunfen","family":"Qi","sequence":"additional","affiliation":[]},{"given":"Paul J.","family":"Scott","sequence":"additional","affiliation":[]},{"given":"Xiangqian","family":"Jiang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,10,5]]},"reference":[{"issue":"3\u20134","key":"1497_CR1","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1016\/j.ijmachtools.2006.05.004","volume":"47","author":"D Ahn","year":"2007","unstructured":"Ahn, D., Kim, H., & Lee, S. (2007). Fabrication direction optimisation to minimise post-machining in layered manufacturing. International Journal of Machine Tools and Manufacture,47(3\u20134), 593\u2013606.","journal-title":"International Journal of Machine Tools and Manufacture"},{"key":"1497_CR2","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/j.cad.2015.03.006","volume":"69","author":"AN Ahsan","year":"2015","unstructured":"Ahsan, A. N., Habib, M. A., & Khoda, B. (2015). Resource based process planning for additive manufacturing. Computer-Aided Design,69, 112\u2013125.","journal-title":"Computer-Aided Design"},{"issue":"4","key":"1497_CR3","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1108\/RPJ-12-2016-0208","volume":"24","author":"AM Al-Ahmari","year":"2018","unstructured":"Al-Ahmari, A. M., Abdulhameed, O., & Khan, A. A. (2018). An automatic and optimal selection of parts orientation in additive manufacturing. Rapid Prototyping Journal,24(4), 698\u2013708.","journal-title":"Rapid Prototyping Journal"},{"issue":"5","key":"1497_CR4","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/S0010-4485(97)00083-3","volume":"30","author":"P Alexander","year":"1998","unstructured":"Alexander, P., Allen, S., & Dutta, D. (1998). Part orientation and build cost determination in layered manufacturing. Computer-Aided Design,30(5), 343\u2013356.","journal-title":"Computer-Aided Design"},{"issue":"4","key":"1497_CR5","doi-asserted-by":"crossref","first-page":"696","DOI":"10.1016\/j.cie.2010.01.015","volume":"58","author":"M Anc\u0103u","year":"2010","unstructured":"Anc\u0103u, M., & Caizar, C. (2010). The computation of Pareto-optimal set in multicriterial optimisation of rapid prototyping processes. Computers & Industrial Engineering,58(4), 696\u2013708.","journal-title":"Computers & Industrial Engineering"},{"issue":"3","key":"1497_CR6","doi-asserted-by":"crossref","first-page":"183","DOI":"10.3846\/1648-4142.2008.23.183-193","volume":"23","author":"WKM Brauers","year":"2008","unstructured":"Brauers, W. K. M., Zavadskas, E. K., Peldschus, F., & Turskis, Z. (2008). Multi-objective decision-making for road design. Transport,23(3), 183\u2013193.","journal-title":"Transport"},{"issue":"11","key":"1497_CR7","doi-asserted-by":"crossref","first-page":"111011","DOI":"10.1115\/1.4037570","volume":"139","author":"SE Brika","year":"2017","unstructured":"Brika, S. E., Zhao, Y. F., Brochu, M., & Mezzetta, J. (2017). Multi-objective build orientation optimisation for powder bed fusion by laser. Journal of Manufacturing Science and Engineering,139(11), 111011.","journal-title":"Journal of Manufacturing Science and Engineering"},{"issue":"1","key":"1497_CR8","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.rcim.2005.03.001","volume":"22","author":"HS Byun","year":"2006","unstructured":"Byun, H. S., & Lee, K. H. (2006). Determination of the optimal build direction for different rapid proto-typing processes using multi-criterion decision making. Robotics and Computer-Integrated Manufacturing,22(1), 69\u201380.","journal-title":"Robotics and Computer-Integrated Manufacturing"},{"issue":"7\u20138","key":"1497_CR9","doi-asserted-by":"crossref","first-page":"714","DOI":"10.1007\/s00170-009-2006-y","volume":"45","author":"V Canellidis","year":"2009","unstructured":"Canellidis, V., Giannatsis, J., & Dedoussis, V. (2009). Genetic-algorithm-based multi-objective optimisation of the build orientation in stereolithography. International Journal of Advanced Manufacturing Technology,45(7\u20138), 714\u2013730.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"key":"1497_CR10","doi-asserted-by":"crossref","unstructured":"Chen, Y. H., Yang, Z. Y., & Ye, R. H. (2008). A fuzzy decision making approach to determine build orientation in automated layer-based machining. In Proceedings of the 2008 IEEE international conference on automation and logistics (pp. 1\u20136).","DOI":"10.1109\/ICAL.2008.4636109"},{"issue":"4","key":"1497_CR11","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1108\/13552549510104429","volume":"1","author":"W Cheng","year":"1995","unstructured":"Cheng, W., Fuh, J. Y., Nee, A. Y., Wong, Y. S., Loh, H. T., & Miyazawa, T. (1995). Multi-objective optimisation of part-building orientation in stereolithography. Rapid Prototyping Journal,1(4), 12\u201323.","journal-title":"Rapid Prototyping Journal"},{"issue":"3","key":"1497_CR12","doi-asserted-by":"crossref","first-page":"031009","DOI":"10.1115\/1.4038293","volume":"140","author":"S Chowdhury","year":"2018","unstructured":"Chowdhury, S., Mhapsekar, K., & Anand, S. (2018). Part build orientation optimisation and neural network-based geometry compensation for additive manufacturing process. Journal of Manufacturing Science and Engineering,140(3), 031009.","journal-title":"Journal of Manufacturing Science and Engineering"},{"key":"1497_CR13","doi-asserted-by":"crossref","first-page":"314","DOI":"10.1016\/j.addma.2016.06.003","volume":"12","author":"P Delfs","year":"2016","unstructured":"Delfs, P., Tows, M., & Schmid, H. J. (2016). Optimised build orientation of additive manufactured parts for improved surface quality and build time. Additive Manufacturing,12, 314\u2013320.","journal-title":"Additive Manufacturing"},{"key":"1497_CR14","volume-title":"Fuzzy sets and systems: Theory and applications","author":"D Dubois","year":"1980","unstructured":"Dubois, D., & Prade, H. (1980). Fuzzy sets and systems: Theory and applications. New York: Academic Press."},{"key":"1497_CR15","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1016\/j.asoc.2015.08.017","volume":"37","author":"B Dutta","year":"2015","unstructured":"Dutta, B., & Guha, D. (2015). Partitioned Bonferroni mean based on linguistic 2-tuple for dealing with multi-attribute group decision making. Applied Soft Computing,37, 166\u2013179.","journal-title":"Applied Soft Computing"},{"key":"1497_CR16","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/j.cag.2015.05.009","volume":"51","author":"B Ezair","year":"2015","unstructured":"Ezair, B., Massarwi, F., & Elber, G. (2015). Orientation analysis of 3D objects toward minimal support volume in 3D printing. Computers & Graphics,51, 117\u2013124.","journal-title":"Computers & Graphics"},{"issue":"12","key":"1497_CR17","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.cad.2015.04.001","volume":"69","author":"W Gao","year":"2015","unstructured":"Gao, W., Zhang, Y., Ramanujan, D., Ramani, K., Chen, Y., Williams, C. B., et al. (2015). The status, challenges, and future of additive manufacturing in engineering. Computer-Aided Design,69(12), 65\u201389.","journal-title":"Computer-Aided Design"},{"key":"1497_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4939-2113-3","volume-title":"Additive manufacturing technologies: 3D printing, rapid prototyping, and direct digital manufacturing","author":"I Gibson","year":"2015","unstructured":"Gibson, I., Rosen, D. W., & Stucker, B. (2015). Additive manufacturing technologies: 3D printing, rapid prototyping, and direct digital manufacturing (2nd ed.). New York: Springer.","edition":"2"},{"issue":"1","key":"1497_CR19","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1080\/17452759.2018.1526622","volume":"14","author":"AH Golmohammadi","year":"2019","unstructured":"Golmohammadi, A. H., & Khodaygan, S. (2019). A framework for multi-objective optimisation of 3D part-build orientation with a desired angular resolution in additive manufacturing processes. Virtual and Physical Prototyping,14(1), 19\u201336.","journal-title":"Virtual and Physical Prototyping"},{"issue":"19","key":"1497_CR21","first-page":"3384","volume":"232","author":"R Huang","year":"2018","unstructured":"Huang, R., Dai, N., Li, D., Cheng, X., Liu, H., & Sun, D. (2018). Parallel non-dominated sorting genetic algorithm-II for optimal part deposition orientation in additive manufacturing based on functional features. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science,232(19), 3384\u20133395.","journal-title":"Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science"},{"issue":"2\u20133","key":"1497_CR22","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/S0924-0136(01)00581-7","volume":"112","author":"SM Hur","year":"2001","unstructured":"Hur, S. M., Choi, K. H., Lee, S. H., & Chang, P. K. (2001). Determination of fabricating orientation and packing in SLS process. Journal of Materials Processing Technology,112(2\u20133), 236\u2013243.","journal-title":"Journal of Materials Processing Technology"},{"issue":"4","key":"1497_CR23","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/BF01199879","volume":"14","author":"J Hur","year":"1998","unstructured":"Hur, J., & Lee, K. (1998). The development of a CAD environment to determine the preferred build-up direction for layered manufacturing. International Journal of Advanced Manufacturing Technology,14(4), 247\u2013254.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"key":"1497_CR24","volume-title":"Additive manufacturing\u2014General principles\u2014Part 2: Overview of process categories and feedstock","author":"ISO 17296-2","year":"2015","unstructured":"ISO 17296-2. (2015). Additive manufacturing\u2014General principles\u2014Part 2: Overview of process categories and feedstock. Geneva: International Organisation for Standardisation."},{"key":"1497_CR25","volume-title":"Additive manufacturing\u2014General principles\u2014Part 3: Main characteristics and corresponding test methods","author":"ISO 17296-3","year":"2014","unstructured":"ISO 17296-3. (2014). Additive manufacturing\u2014General principles\u2014Part 3: Main characteristics and corresponding test methods. Geneva: International Organisation for Standardisation."},{"key":"1497_CR26","volume-title":"Additive manufacturing\u2014General principles\u2014Terminology","author":"ISO\/ASTM 52900","year":"2015","unstructured":"ISO\/ASTM 52900. (2015). Additive manufacturing\u2014General principles\u2014Terminology. Geneva: International Organisation for Standardisation."},{"issue":"1\u20134","key":"1497_CR27","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/s00170-018-1586-9","volume":"96","author":"P Jaiswal","year":"2018","unstructured":"Jaiswal, P., Patel, J., & Rai, R. (2018). Build orientation optimisation for additive manufacturing of functionally graded material objects. International Journal of Advanced Manufacturing Technology,96(1\u20134), 223\u2013235.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"key":"1497_CR28","doi-asserted-by":"publisher","DOI":"10.1080\/17452759.2019.1568835","author":"J Jiang","year":"2019","unstructured":"Jiang, J., Lou, J., & Hu, G. (2019a). Effect of support on printed properties in fused deposition modelling processes. Virtual and Physical Prototyping. https:\/\/doi.org\/10.1080\/17452759.2019.1568835 .","journal-title":"Virtual and Physical Prototyping"},{"key":"1497_CR29","doi-asserted-by":"publisher","DOI":"10.1089\/3dp.2017.0124","author":"J Jiang","year":"2019","unstructured":"Jiang, J., Stringer, J., & Xu, X. (2019b). Support optimization for flat features via path planning in additive manufacturing. 3D Printing and Additive Manufacturing. https:\/\/doi.org\/10.1089\/3dp.2017.0124 .","journal-title":"3D Printing and Additive Manufacturing"},{"issue":"10","key":"1497_CR30","doi-asserted-by":"crossref","first-page":"961","DOI":"10.1080\/0951192X.2018.1466398","volume":"31","author":"J Jiang","year":"2018","unstructured":"Jiang, J., Stringer, J., Xu, X., & Zhong, R. (2018a). Investigation of printable threshold overhang angle in extrusion-based additive manufacturing for reducing support waste. International Journal of Computer Integrated Manufacturing,31(10), 961\u2013969.","journal-title":"International Journal of Computer Integrated Manufacturing"},{"issue":"4","key":"1497_CR31","doi-asserted-by":"crossref","first-page":"64","DOI":"10.3390\/jmmp2040064","volume":"2","author":"J Jiang","year":"2018","unstructured":"Jiang, J., Xu, X., & Stringer, J. (2018b). Support structures for additive manufacturing: A review. Journal of Manufacturing and Materials Processing,2(4), 64.","journal-title":"Journal of Manufacturing and Materials Processing"},{"key":"1497_CR32","doi-asserted-by":"publisher","DOI":"10.1080\/17452759.2019.1585555","author":"J Jiang","year":"2019","unstructured":"Jiang, J., Xu, X., & Stringer, J. (2019c). Optimisation of multi-part production in additive manufacturing for reducing support waste. Virtual and Physical Prototyping. https:\/\/doi.org\/10.1080\/17452759.2019.1585555 .","journal-title":"Virtual and Physical Prototyping"},{"issue":"7","key":"1497_CR33","doi-asserted-by":"crossref","first-page":"711","DOI":"10.1016\/j.cad.2004.08.009","volume":"37","author":"HC Kim","year":"2005","unstructured":"Kim, H. C., & Lee, S. H. (2005). Reduction of post-processing for stereolithography systems by fabrication direction optimisation. Computer-Aided Design,37(7), 711\u2013725.","journal-title":"Computer-Aided Design"},{"issue":"1","key":"1497_CR34","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.addma.2014.10.004","volume":"5","author":"DB Kim","year":"2015","unstructured":"Kim, D. B., Witherell, P., Lipman, R., & Feng, S. C. (2015). Streamlining the additive manufacturing digital spectrum: A systems approach. Additive Manufacturing,5(1), 20\u201330.","journal-title":"Additive Manufacturing"},{"issue":"1","key":"1497_CR35","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1520\/SSMS20160003","volume":"1","author":"DB Kim","year":"2017","unstructured":"Kim, D. B., Witherell, P., Lu, Y., & Feng, S. C. (2017). Toward a digital thread and data package for metals-additive manufacturing. Smart and Sustainable Manufacturing Systems,1(1), 75\u201399.","journal-title":"Smart and Sustainable Manufacturing Systems"},{"issue":"1","key":"1497_CR36","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1108\/13552540010309859","volume":"6","author":"P Kulkarni","year":"2000","unstructured":"Kulkarni, P., Marsan, A., & Dutta, D. (2000). A review of process planning techniques in layered manufacturing. Rapid Prototyping Journal,6(1), 18\u201335.","journal-title":"Rapid Prototyping Journal"},{"issue":"1","key":"1497_CR37","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/S0010-4485(96)00049-8","volume":"29","author":"PT Lan","year":"1997","unstructured":"Lan, P. T., Chou, S. Y., Chen, L. L., & Gemmill, D. (1997). Determining fabrication orientations for rapid prototyping with stereolithography apparatus. Computer-Aided Design,29(1), 53\u201362.","journal-title":"Computer-Aided Design"},{"issue":"10","key":"1497_CR38","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/j.rcim.2018.03.003","volume":"53","author":"JS Liang","year":"2018","unstructured":"Liang, J. S. (2018). An ontology-oriented knowledge methodology for process planning in additive layer manufacturing. Robotics and Computer-Integrated Manufacturing,53(10), 28\u201344.","journal-title":"Robotics and Computer-Integrated Manufacturing"},{"issue":"5\u20138","key":"1497_CR39","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1007\/s00170-015-7571-7","volume":"83","author":"N Luo","year":"2016","unstructured":"Luo, N., & Wang, Q. (2016). Fast slicing orientation determining and optimising algorithm for least volumetric error in rapid prototyping. International Journal of Advanced Manufacturing Technology,83(5\u20138), 1297\u20131313.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"issue":"1\u20133","key":"1497_CR40","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/S0924-0136(03)00190-0","volume":"139","author":"SH Masood","year":"2003","unstructured":"Masood, S. H., Rattanawong, W., & Iovenitti, P. (2003). A generic algorithm for a best part orientation system for complex parts in rapid prototyping. Journal of Materials Processing Technology,139(1\u20133), 110\u2013116.","journal-title":"Journal of Materials Processing Technology"},{"issue":"1","key":"1497_CR41","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1108\/13552549810197505","volume":"4","author":"JE McClurkin","year":"1998","unstructured":"McClurkin, J. E., & Rosen, D. W. (1998). Computer-aided build style decision support for stereolithography. Rapid Prototyping Journal,4(1), 4\u201313.","journal-title":"Rapid Prototyping Journal"},{"issue":"5\u20138","key":"1497_CR42","doi-asserted-by":"crossref","first-page":"1933","DOI":"10.1007\/s00170-017-0938-1","volume":"94","author":"S Mi","year":"2018","unstructured":"Mi, S., Wu, X., & Zeng, L. (2018). Optimal build orientation based on material changes for FGM parts. International Journal of Advanced Manufacturing Technology,94(5\u20138), 1933\u20131946.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"key":"1497_CR43","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1017\/S001309150003460X","volume":"21","author":"RF Muirhead","year":"1902","unstructured":"Muirhead, R. F. (1902). Some methods applicable to identities and inequalities of symmetric algebraic functions of n letters. Proceedings of the Edinburgh Mathematical Society,21, 144\u2013162.","journal-title":"Proceedings of the Edinburgh Mathematical Society"},{"issue":"6","key":"1497_CR44","doi-asserted-by":"crossref","first-page":"458","DOI":"10.1108\/13552541111184198","volume":"17","author":"N Padhye","year":"2011","unstructured":"Padhye, N., & Deb, K. (2011). Multi-objective optimisation and multi-criteria decision making in SLS using evolutionary approaches. Rapid Prototyping Journal,17(6), 458\u2013478.","journal-title":"Rapid Prototyping Journal"},{"issue":"19","key":"1497_CR45","doi-asserted-by":"crossref","first-page":"4069","DOI":"10.1080\/00207540410001708470","volume":"42","author":"PM Pandey","year":"2004","unstructured":"Pandey, P. M., Thrimurthulu, K., & Reddy, N. V. (2004). Optimal part deposition orientation in FDM by using a multicriteria genetic algorithm. International Journal of Production Research,42(19), 4069\u20134089.","journal-title":"International Journal of Production Research"},{"issue":"7","key":"1497_CR46","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.jmsy.2014.06.014","volume":"36","author":"R Paul","year":"2015","unstructured":"Paul, R., & Anand, S. (2015). Optimisation of layered manufacturing process for reducing form errors with minimal support structures. Journal of Manufacturing Systems,36(7), 231\u2013243.","journal-title":"Journal of Manufacturing Systems"},{"issue":"9","key":"1497_CR47","doi-asserted-by":"crossref","first-page":"674","DOI":"10.1007\/s001700050118","volume":"15","author":"DT Pham","year":"1999","unstructured":"Pham, D. T., Dimov, S. S., & Gault, R. S. (1999). Part orientation in stereolithography. International Journal of Advanced Manufacturing Technology,15(9), 674\u2013682.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"issue":"5\u20138","key":"1497_CR48","doi-asserted-by":"crossref","first-page":"1831","DOI":"10.1007\/s00170-018-2295-0","volume":"98","author":"L Qie","year":"2018","unstructured":"Qie, L., Jing, S., Lian, R., Chen, Y., & Liu, J. (2018). Quantitative suggestions for build orientation selection. International Journal of Advanced Manufacturing Technology,98(5\u20138), 1831\u20131845.","journal-title":"International Journal of Advanced Manufacturing Technology"},{"issue":"6","key":"1497_CR49","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1016\/j.cad.2019.02.004","volume":"111","author":"Y Qin","year":"2019","unstructured":"Qin, Y., Qi, Q., Scott, P. J., & Jiang, X. (2019). Status, comparison, and future of the representations of additive manufacturing data. Computer-Aided Design,111(6), 44\u201364.","journal-title":"Computer-Aided Design"},{"key":"1497_CR50","doi-asserted-by":"publisher","DOI":"10.1007\/s10845-018-1420-0","author":"M Raju","year":"2018","unstructured":"Raju, M., Gupta, M. K., Bhanot, N., & Sharma, V. S. (2018). A hybrid PSO\u2013BFO evolutionary algorithm for optimisation of fused deposition modelling process parameters. Journal of Intelligent Manufacturing. https:\/\/doi.org\/10.1007\/s10845-018-1420-0 .","journal-title":"Journal of Intelligent Manufacturing"},{"key":"1497_CR51","unstructured":"Ransikarbum, K. & Kim, N. (2017). Multi-criteria selection problem of part orientation in 3D fused deposition modelling based on analytic hierarchy process model: A case study. In Proceedings of the 2017 IEEE international conference on industrial engineering and engineering management (pp. 1455\u20131459)."},{"key":"1497_CR52","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/j.jmapro.2016.11.006","volume":"25","author":"S Singh","year":"2017","unstructured":"Singh, S., Ramakrishna, S., & Singh, R. (2017). Material issues in additive manufacturing: A review. Journal of Manufacturing Processes,25, 185\u2013200.","journal-title":"Journal of Manufacturing Processes"},{"issue":"9","key":"1497_CR53","doi-asserted-by":"crossref","first-page":"1673","DOI":"10.1177\/0954405411402925","volume":"225","author":"G Strano","year":"2011","unstructured":"Strano, G., Hao, L., Everson, R. M., & Evans, K. E. (2011). Multi-objective optimisation of selective laser sintering processes for surface quality and energy saving. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture,225(9), 1673\u20131682.","journal-title":"Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture"},{"issue":"1\u20133","key":"1497_CR54","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1504\/IJMTM.2013.058637","volume":"27","author":"M Taufik","year":"2013","unstructured":"Taufik, M., & Jain, P. K. (2013). Role of build orientation in layered manufacturing: A review. International Journal of Manufacturing Technology and Management,27(1\u20133), 47\u201373.","journal-title":"International Journal of Manufacturing Technology and Management"},{"issue":"6","key":"1497_CR55","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1016\/j.ijmachtools.2003.12.004","volume":"44","author":"KP Thrimurthulu","year":"2004","unstructured":"Thrimurthulu, K. P., Pandey, P. M., & Reddy, N. V. (2004). Optimum part deposition orientation in fused deposition modelling. International Journal of Machine Tools and Manufacture,44(6), 585\u2013594.","journal-title":"International Journal of Machine Tools and Manufacture"},{"issue":"1","key":"1497_CR56","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/S0010-4485(00)00064-6","volume":"33","author":"AP West","year":"2001","unstructured":"West, A. P., Sambu, S. P., & Rosen, D. W. (2001). A process planning method for improving build performance in stereolithography. Computer-Aided Design,33(1), 65\u201379.","journal-title":"Computer-Aided Design"},{"issue":"7","key":"1497_CR57","doi-asserted-by":"crossref","first-page":"071005","DOI":"10.1115\/1.4039491","volume":"140","author":"X Xiao","year":"2018","unstructured":"Xiao, X., & Joshi, S. (2018). Automatic toolpath generation for heterogeneous objects manufactured by directed energy deposition additive manufacturing process. Journal of Manufacturing Science and Engineering,140(7), 071005.","journal-title":"Journal of Manufacturing Science and Engineering"},{"issue":"6","key":"1497_CR58","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1108\/RPJ-10-2017-0196","volume":"24","author":"J Xu","year":"2018","unstructured":"Xu, J., Gu, X., Ding, D., Pan, Z., & Chen, K. (2018). A review of slicing methods for directed energy deposition based additive manufacturing. Rapid Prototyping Journal,24(6), 1012\u20131025.","journal-title":"Rapid Prototyping Journal"},{"issue":"2","key":"1497_CR59","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1108\/13552549910267344","volume":"5","author":"F Xu","year":"1999","unstructured":"Xu, F., Loh, H. T., & Wong, Y. S. (1999). Considerations and selection of optimal orientation for different rapid prototyping systems. Rapid Prototyping Journal,5(2), 54\u201360.","journal-title":"Rapid Prototyping Journal"},{"issue":"6","key":"1497_CR60","doi-asserted-by":"crossref","first-page":"724","DOI":"10.1109\/3468.983429","volume":"31","author":"RR Yager","year":"2001","unstructured":"Yager, R. R. (2001). The power average operator. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans,31(6), 724\u2013731.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans"},{"issue":"1","key":"1497_CR61","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/j.ijar.2007.08.009","volume":"48","author":"RR Yager","year":"2008","unstructured":"Yager, R. R. (2008). Prioritised aggregation operators. International Journal of Approximate Reasoning,48(1), 263\u2013274.","journal-title":"International Journal of Approximate Reasoning"},{"key":"1497_CR62","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh, L. A. (1965). Fuzzy sets. Information and Control,8, 338\u2013353.","journal-title":"Information and Control"},{"issue":"5","key":"1497_CR63","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1108\/RPJ-01-2013-0009","volume":"20","author":"Y Zhang","year":"2014","unstructured":"Zhang, Y., & Bernard, A. (2014). An integrated decision-making model for multi-attributes decision-making (MADM) problems in additive manufacturing process planning. Rapid Prototyping Journal,20(5), 377\u2013389.","journal-title":"Rapid Prototyping Journal"},{"issue":"2","key":"1497_CR64","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1108\/RPJ-03-2014-0037","volume":"22","author":"Y Zhang","year":"2016","unstructured":"Zhang, Y., Bernard, A., Gupta, R. K., & Harik, R. (2016). Feature based building orientation optimisation for additive manufacturing. Rapid Prototyping Journal,22(2), 358\u2013376.","journal-title":"Rapid Prototyping Journal"},{"issue":"6","key":"1497_CR65","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.1007\/s10845-015-1057-1","volume":"28","author":"Y Zhang","year":"2017","unstructured":"Zhang, Y., Bernard, A., Harik, R., & Karunakaran, K. P. (2017). Build orientation optimisation for multi-part production in additive manufacturing. Journal of Intelligent Manufacturing,28(6), 1393\u20131407.","journal-title":"Journal of Intelligent Manufacturing"},{"issue":"1","key":"1497_CR66","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1108\/RPJ-04-2018-0102","volume":"25","author":"Y Zhang","year":"2018","unstructured":"Zhang, Y., Harik, R., Fadel, G., & Bernard, A. (2018). A statistical method for build orientation determination in additive manufacturing. Rapid Prototyping Journal,25(1), 187\u2013207.","journal-title":"Rapid Prototyping Journal"},{"issue":"1\u20134","key":"1497_CR67","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1007\/s00170-012-4518-0","volume":"67","author":"J Zhang","year":"2013","unstructured":"Zhang, J., & Li, Y. (2013). A unit sphere discretisation and search approach to optimise building direction with minimised volumetric error for rapid prototyping. International Journal of Advanced Manufacturing Technology,67(1\u20134), 733\u2013743.","journal-title":"International Journal of Advanced Manufacturing Technology"}],"container-title":["Journal of Intelligent Manufacturing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10845-019-01497-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10845-019-01497-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10845-019-01497-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,24]],"date-time":"2024-07-24T16:24:57Z","timestamp":1721838297000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10845-019-01497-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,5]]},"references-count":66,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2019,12]]}},"alternative-id":["1497"],"URL":"https:\/\/doi.org\/10.1007\/s10845-019-01497-6","relation":{},"ISSN":["0956-5515","1572-8145"],"issn-type":[{"value":"0956-5515","type":"print"},{"value":"1572-8145","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,10,5]]},"assertion":[{"value":"26 March 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 September 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 October 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}