{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T14:33:22Z","timestamp":1743518002640,"version":"3.40.3"},"reference-count":32,"publisher":"Scientific and Business World","license":[{"start":{"date-parts":[[2014,4,7]],"date-time":"2014-04-07T00:00:00Z","timestamp":1396828800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Decision Sciences"],"published-print":{"date-parts":[[2014,4,7]]},"abstract":"<jats:p>The optimal production and advertising policies for an inventory control system of multi-item\nmultiobjective problem under a single management are formulated as an optimal control problem with resource\nconstraints under inflation and discounting in fuzzy rough (Fu-Ro) environment. The objectives\nand constraints in Fu-Ro are made deterministic using fuzzy rough expected values method (EVM). Here,\nthe production and advertisement rates are unknown and considered as control (decision) variables. The\nproduction, advertisement, and demand rates are functions of time <jats:italic>t<\/jats:italic>. Maximization of the total proceed from\nperfect and imperfect units and minimization of the total cost consisting of production, holding, and advertisement\ncosts are formulated as optimal control problems and solved directly using multiobjective genetic\nalgorithm (MOGA). In another method for solution, membership functions of the objectives are derived and\nthe multi-objective problems are transformed to a single objective by the convex combination of the membership\nfunctions and then the problem is solved by generalized reduced gradient (GRG) method. Finally, numerical experiment\nand graphical representation are provided to illustrate the system.<\/jats:p>","DOI":"10.1155\/2014\/617989","type":"journal-article","created":{"date-parts":[[2014,4,7]],"date-time":"2014-04-07T23:09:53Z","timestamp":1396912193000},"page":"1-13","source":"Crossref","is-referenced-by-count":3,"title":["A Multiobjective Multi-Item Inventory Control Problem in Fuzzy-Rough Environment Using Soft Computing Techniques"],"prefix":"10.47654","volume":"2014","author":[{"given":"Dipak Kumar","family":"Jana","sequence":"first","affiliation":[{"name":"Department of Engineering Science, Haldia Institute of Technology, Haldia, West Bengal 721657, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Maity","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Mugberia Gangadhar Mahavidyalaya, Mugberia, Purba Medinipur, West Bengal  721425, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Maiti","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Medinipur,  West Bengal 721 102, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T. K.","family":"Roy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, West Bengal 711103, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"52777","reference":[{"issue":"3","key":"2","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1057\/jors.1975.113","volume":"26","year":"1975","journal-title":"Operational Research Quarterly"},{"issue":"1","key":"6","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1002\/nav.3800260116","volume":"26","year":"1979","journal-title":"Naval Research Logistics"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2006.06.009"},{"issue":"12","key":"4","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1080\/00207729608929336","volume":"27","year":"1996","journal-title":"International Journal of Systems Science"},{"issue":"1","key":"7","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/S0925-5273(98)00033-4","volume":"55","year":"1998","journal-title":"International Journal of Production Economics"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1080\/17509653.2013.834655"},{"issue":"2","key":"31","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1080\/17509653.2013.783186","volume":"8","year":"2013","journal-title":"International Journal of Management Science and Engineering Management"},{"issue":"3","key":"32","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1080\/17509653.2013.812339","volume":"8","year":"2013","journal-title":"International Journal of Management Science and Engineering Management"},{"key":"20","first-page":"338","volume":"8","year":"1965","journal-title":"Information and Computation"},{"issue":"1","key":"18","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","volume":"1","year":"1978","journal-title":"Fuzzy Sets and Systems"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-5287-7"},{"issue":"1","key":"3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/2195-5468-1-1","volume":"1","year":"2013","journal-title":"Journal of Uncertainty Analysis and Applications"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(87)90096-0"},{"key":"9","first-page":"191","volume":"17","year":"1990","journal-title":"Fuzzy Sets and Systems"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00104-8"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2008.03.040"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2011.11.022"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-005-3666-1"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.11.002"},{"year":"1975","key":"23"},{"first-page":"416","volume-title":"Genetic algorithm for multiobjective optimization, formulation, discussion and generalization","year":"1993","key":"24"},{"key":"22","first-page":"221","volume":"2","year":"1995","journal-title":"Evoluation Computation"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1109\/4235.996017"},{"issue":"2","key":"1","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1057\/jos.2012.23","volume":"7","year":"2013","journal-title":"Journal of Simulation"},{"issue":"1","key":"17","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/S0377-2217(97)00200-2","volume":"109","year":"1998","journal-title":"European Journal of Operational Research"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1504\/EJIE.2011.042738"},{"issue":"2","key":"13","first-page":"94","volume":"3","year":"2009","journal-title":"International Journal of Mathematical Models and Methods in Applied Sciences"},{"issue":"2","key":"5","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1115\/1.3439249","volume":"99","year":"1977","journal-title":"AMSE Journal of Engineering for Industry"},{"year":"2009","key":"12"},{"issue":"4","key":"30","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1504\/IJOR.2013.057482","volume":"18","year":"2013","journal-title":"International Journal of Operational Research"},{"year":"2002","key":"15"},{"key":"19","doi-asserted-by":"crossref","first-page":"B141","DOI":"10.1287\/mnsc.17.4.B141","volume":"17","year":"1970","journal-title":"Management Science"}],"container-title":["Advances in Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/617989.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/617989.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/617989.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T16:10:06Z","timestamp":1601309406000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/archive\/2014\/617989\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,4,7]]},"references-count":32,"alternative-id":["617989","617989"],"URL":"https:\/\/doi.org\/10.1155\/2014\/617989","relation":{},"ISSN":["2090-3359","2090-3367"],"issn-type":[{"type":"print","value":"2090-3359"},{"type":"electronic","value":"2090-3367"}],"subject":[],"published":{"date-parts":[[2014,4,7]]}}}