{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:43:51Z","timestamp":1747190631955,"version":"3.40.5"},"reference-count":38,"publisher":"Wiley","license":[{"start":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T00:00:00Z","timestamp":1614816000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Fuzzy Systems"],"published-print":{"date-parts":[[2021,3,4]]},"abstract":"<jats:p>This paper deals with constrained multistage machines flow-shop (FS) scheduling model in which processing times, job weights, and break-down machine time are characterized by fuzzy numbers that are piecewise as well as quadratic in nature. Avoiding to convert the model into its crisp, the closed interval approximation for the piecewise quadratic fuzzy numbers is incorporated. The suggested method leads a noncrossing optimal sequence to the considered problem and minimizes the total elapsed time under fuzziness. The proposed approach helps the decision maker to search for applicable solution related to real-world problems and minimizes the total fuzzy elapsed time. A numerical example is provided for the illustration of the suggested methodology.<\/jats:p>","DOI":"10.1155\/2021\/6697060","type":"journal-article","created":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T03:05:09Z","timestamp":1614913509000},"page":"1-8","source":"Crossref","is-referenced-by-count":5,"title":["Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates"],"prefix":"10.1155","volume":"2021","author":[{"given":"Hamiden","family":"Abd El-Wahed Khalifa","sequence":"first","affiliation":[{"name":"Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt"},{"name":"Mathematics Department, College of Science and Arts, Al-Badaya, Qassim University, Buraydah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sultan S.","family":"Alodhaibi","sequence":"additional","affiliation":[{"name":"Mathematics Department, College of Science and Arts, AL-Rass, Qassim University, Buraydah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5340-7777","authenticated-orcid":true,"given":"Pavan","family":"Kumar","sequence":"additional","affiliation":[{"name":"Mathematics Division, School of Advanced Science and Languages, VIT Bhopal University, Sehore-466114, MP, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1145\/2027216.2027218"},{"issue":"5\u20138","key":"2","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1007\/s00170-014-5841-4","article-title":"An algorithm for flow shop scheduling problem with consideration of position- based learning effect and multiple availability constraints","volume":"73","author":"N. B. Vahedi","year":"2014","journal-title":"International Journal of Advanced Manufacturing Technology"},{"key":"3","first-page":"41","article-title":"Bi-criteria three stage fuzzy flow-shop scheduling with transportation time and job block criteria","volume":"2","author":"S. Aggarwal","year":"2010","journal-title":"International Journal of Applied Operational Research"},{"key":"4","first-page":"1","article-title":"A novel approach for job shop scheduling using particle swarm optimization","volume":"2","author":"S. Patider","year":"2014","journal-title":"International Journal of Digital Application and Contemporary Research"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.03.060"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/FUZZY.1996.551742"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-016-9093-3"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/1973604"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2018.1550269"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/7132469"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/s0019-9958(65)90241-x"},{"volume-title":"Fuzzy Sets and Systems; Theory and Applications","year":"1980","author":"D. Dubois","key":"12"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2015.02.025"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2016.06.109"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/s10845-014-1001-9"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.autcon.2016.08.021"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1504\/ijmor.2017.080743"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2017.1304661"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2017.10.015"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2016.06.002"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-012-4037-z"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1109\/tem.2016.2645790"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.procs.2017.08.267"},{"issue":"3","key":"24","first-page":"272","article-title":"On single machine scheduling problem with distinct due dates under fuzzy environment","volume":"7","author":"H. A. Khalifa","year":"2020","journal-title":"International Journal of Supply and Operations Management"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.3390\/su10051366"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2017.06.027"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.17535\/crorr.2019.0017"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1080\/21693277.2019.1620651"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2020.122927"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.17535\/crorr.2020.0014"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2020.2998174"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2021.3053838"},{"issue":"19","key":"33","first-page":"921","article-title":"Solving constrained flow- shop scheduling problems with three machines","volume":"5","author":"P. Pandian","year":"2010","journal-title":"International Journal of Contemporary Mathematical Sciences"},{"issue":"1","key":"34","first-page":"77","article-title":"Close interval approximation of piecewise quadratic fuzzy numbers for fuzzy fractional program","volume":"2","author":"S. Jain","year":"2010","journal-title":"Iranian Journal of Operations Research"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90043-2"},{"key":"36","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970906","volume-title":"Methods and Applications of Interval Analysis","author":"E. R. Moore","year":"1979"},{"key":"37","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/0377-2217(90)90375-L","article-title":"Multi objective programming in optimization of the interval objective function","volume":"48","author":"H. Ishibuchi","year":"1999","journal-title":"European Journal of Operational Research"},{"issue":"1","key":"38","first-page":"521","article-title":"Solving constrained multi- stage machines flow- shop scheduling problems in fuzzy environment","volume":"11","author":"M. Thangaraj","year":"2016","journal-title":"International Journal of Applied Engineering Research"}],"container-title":["Advances in Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2021\/6697060.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2021\/6697060.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/afs\/2021\/6697060.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T03:05:21Z","timestamp":1614913521000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/afs\/2021\/6697060\/"}},"subtitle":[],"editor":[{"given":"Antonin","family":"Dvor\u00e1k","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2021,3,4]]},"references-count":38,"alternative-id":["6697060","6697060"],"URL":"https:\/\/doi.org\/10.1155\/2021\/6697060","relation":{},"ISSN":["1687-711X","1687-7101"],"issn-type":[{"type":"electronic","value":"1687-711X"},{"type":"print","value":"1687-7101"}],"subject":[],"published":{"date-parts":[[2021,3,4]]}}}