{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T23:08:47Z","timestamp":1773702527859,"version":"3.50.1"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T00:00:00Z","timestamp":1600732800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T00:00:00Z","timestamp":1600732800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s00500-020-05307-7","type":"journal-article","created":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T10:03:54Z","timestamp":1600769034000},"page":"2351-2370","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Determining the price and refund of products in a supply chain with quality and advertising costs in a fuzzy environment"],"prefix":"10.1007","volume":"25","author":[{"given":"Hossein","family":"Sharanlou","sequence":"first","affiliation":[]},{"given":"Ali","family":"Husseinzadeh Kashan","sequence":"additional","affiliation":[]},{"given":"Reza","family":"Tavakkoli-Moghaddam","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,9,22]]},"reference":[{"key":"5307_CR1","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/j.eswa.2018.03.029","volume":"104","author":"SF Alamdar","year":"2018","unstructured":"Alamdar SF, Rabbani M, Heydari J (2018) Pricing, collection, and effort decisions with coordination contracts in a fuzzy, three-level closed-loop supply chain. Expert Syst Appl 104:261\u2013276","journal-title":"Expert Syst Appl"},{"key":"5307_CR500","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.jretconser.2017.08.025","volume":"40","author":"SM Ali","year":"2018","unstructured":"Ali SM, Rahman MH, Tumpa TJ, Rifat AAM, Paul SK (2018) Examining price and service competition among retailers in a supply chain under potential demand disruption. J Retail Consum Serv 40:40\u201347","journal-title":"J Retail Consum Serv"},{"key":"5307_CR2","doi-asserted-by":"crossref","first-page":"107486","DOI":"10.1016\/j.ijpe.2019.09.007","volume":"222","author":"P Assarzadegan","year":"2019","unstructured":"Assarzadegan P, Rasti-Barzoki M (2019) A game theoretic approach for pricing under a return policy and a money back guarantee in a closed loop supply chain. Int J Prod Econ 222:107486","journal-title":"Int J Prod Econ"},{"key":"5307_CR3","first-page":"81","volume-title":"A manufacturer-retailer supply chain with fuzzy consumer demand: logistics Management","author":"G Aust","year":"2015","unstructured":"Aust G (2015) A manufacturer-retailer supply chain with fuzzy consumer demand: logistics Management. Springer, Berlin, pp 81\u201393"},{"issue":"1","key":"5307_CR4","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/s10100-014-0338-7","volume":"24","author":"G Aust","year":"2016","unstructured":"Aust G, Buscher U (2016) Game theoretic analysis of pricing and vertical cooperative advertising of a retailer-duopoly with a common manufacturer. CEJOR 24(1):127\u2013147","journal-title":"CEJOR"},{"key":"5307_CR5","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1177\/002224377200900310","volume":"9","author":"PD Berger","year":"1972","unstructured":"Berger PD (1972) Vertical cooperative advertising ventures. J Market Res 9:309\u2013312","journal-title":"J Market Res"},{"key":"5307_CR6","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/j.cie.2016.07.007","volume":"99","author":"J Chaab","year":"2016","unstructured":"Chaab J, Rasti-Barzoki M (2016) Cooperative advertising and pricing in a manufacturer-retailer supply chain with a general demand function; A game-theoretic approach. Comput Ind Eng 99:112\u2013123","journal-title":"Comput Ind Eng"},{"issue":"2","key":"5307_CR7","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/j.jretai.2016.12.005","volume":"93","author":"B Chen","year":"2017","unstructured":"Chen B, Chen J (2017) Compete in price or service?: A study of personalized pricing and money back guarantees. J Retail 93(2):154\u2013171","journal-title":"J Retail"},{"issue":"1","key":"5307_CR8","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1016\/j.ijpe.2013.07.005","volume":"146","author":"J Chen","year":"2013","unstructured":"Chen J, Grewal R (2013) Competing in a supply chain via full-refund and no-refund customer returns policies. Int J Prod Econ 146(1):246\u2013258","journal-title":"Int J Prod Econ"},{"key":"5307_CR9","doi-asserted-by":"crossref","first-page":"990","DOI":"10.1016\/j.ejor.2020.01.035","volume":"284","author":"R Chenavaz","year":"2020","unstructured":"Chenavaz R, Feichtinger G, Hartl RF, Kort PM (2020) Modeling the impact of product quality on dynamic pricing and advertising policies. Eur J Oper Res 284:990\u20131001","journal-title":"Eur J Oper Res"},{"issue":"2","key":"5307_CR10","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1016\/j.ejor.2015.09.021","volume":"249","author":"P De Giovanni","year":"2016","unstructured":"De Giovanni P, Reddy PV, Zaccour G (2016) Incentive strategies for an optimal recovery program in a closed-loop supply chain. Eur J Oper Res 249(2):605\u2013617","journal-title":"Eur J Oper Res"},{"issue":"2","key":"5307_CR11","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1007\/s10957-018-1217-5","volume":"176","author":"A Farshbaf-Geranmayeh","year":"2018","unstructured":"Farshbaf-Geranmayeh A, Rabbani M, Taleizadeh AA (2018) Channel coordination with cooperative advertising considering effect of advertising on willingness to pay. J Optim Theory Appl 176(2):509\u2013525","journal-title":"J Optim Theory Appl"},{"key":"5307_CR12","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1016\/j.cie.2017.01.003","volume":"105","author":"B Giri","year":"2017","unstructured":"Giri B, Roy B, Maiti T (2017) Multi-manufacturer pricing and quality management strategies in the presence of brand differentiation and return policy. Comput Ind Eng 105:146\u2013157","journal-title":"Comput Ind Eng"},{"issue":"9","key":"5307_CR13","doi-asserted-by":"crossref","first-page":"2715","DOI":"10.1080\/00207543.2018.1547434","volume":"57","author":"R Gupta","year":"2019","unstructured":"Gupta R, Biswas I, Kumar S (2019) Pricing decisions for three-echelon supply chain with advertising and quality effort-dependent fuzzy demand. Int J Prod Res 57(9):2715\u20132731","journal-title":"Int J Prod Res"},{"issue":"3","key":"5307_CR14","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1007\/s10845-014-0991-7","volume":"28","author":"H Huang","year":"2017","unstructured":"Huang H, Ke H (2017) Pricing decision problem for substitutable products based on uncertainty theory. J Intell Manuf 28(3):503\u2013514","journal-title":"J Intell Manuf"},{"issue":"1","key":"5307_CR15","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1080\/00207543.2014.925602","volume":"53","author":"S Karray","year":"2015","unstructured":"Karray S, Amin SH (2015) Cooperative advertising in a supply chain with retail competition. Int J Prod Res 53(1):88\u2013105","journal-title":"Int J Prod Res"},{"issue":"3","key":"5307_CR16","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1111\/j.1937-5956.2009.01017.x","volume":"18","author":"ME Ketzenberg","year":"2009","unstructured":"Ketzenberg ME, Zuidwijk RA (2009) Optimal pricing, ordering, and return policies for consumer goods. Prod Oper Manag 18(3):344\u2013360","journal-title":"Prod Oper Manag"},{"key":"5307_CR600","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1016\/j.ejor.2011.07.001","volume":"216","author":"M Kunter","year":"2012","unstructured":"Kunter M (2012) Coordination via cost and revenue sharing in manufacturer-retailer channels. Eur J Oper Res 216:477\u2013486","journal-title":"Eur J Oper Res"},{"issue":"2","key":"5307_CR17","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/j.ijpe.2013.03.013","volume":"144","author":"Y Li","year":"2013","unstructured":"Li Y, Xu L, Li D (2013) Examining relationships between the return policy, the quality of product, and pricing strategy in online direct selling. Int J Prod Econ 144(2):451\u2013460","journal-title":"Int J Prod Econ"},{"key":"5307_CR18","unstructured":"Li G, Li L, Sethi SP, Guan X (2017) Return strategy and pricing in a dual-channel supply chain. Int J Prod Econ (in Press)"},{"key":"5307_CR19","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/j.ijpe.2017.06.031","volume":"215","author":"G Li","year":"2019","unstructured":"Li G, Li L, Sethi SP, Guan X (2019) Return strategy and pricing in a dual-channel supply chain. Int J Prod Econ 215:153\u2013164","journal-title":"Int J Prod Econ"},{"issue":"4","key":"5307_CR20","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1109\/TFUZZ.2002.800692","volume":"10","author":"B Liu","year":"2002","unstructured":"Liu B, Liu Y-K (2002) Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans Fuzzy Syst 10(4):445\u2013450","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"02","key":"5307_CR21","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1142\/S0218488503002016","volume":"11","author":"Y-K Liu","year":"2003","unstructured":"Liu Y-K, Liu B (2003) Expected value operator of random fuzzy variable and random fuzzy expected value models. Int J Uncertain Fuzziness Knowl-Based Syst 11(02):195\u2013215","journal-title":"Int J Uncertain Fuzziness Knowl-Based Syst"},{"issue":"1","key":"5307_CR22","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/s10700-013-9165-x","volume":"13","author":"S Liu","year":"2014","unstructured":"Liu S, Xu Z (2014) Stackelberg game models between two competitive retailers in fuzzy decision environment. Fuzzy Optim Decis Making 13(1):33\u201348","journal-title":"Fuzzy Optim Decis Making"},{"issue":"2","key":"5307_CR23","doi-asserted-by":"crossref","first-page":"239","DOI":"10.3846\/tede.2019.6620","volume":"25","author":"S Liu","year":"2019","unstructured":"Liu S, Gao J, Xu Z (2019) Fuzzy supply chain coordination mechanism with imperfect quality items. Technol Econ Dev Econ 25(2):239\u2013257","journal-title":"Technol Econ Dev Econ"},{"key":"5307_CR24","doi-asserted-by":"crossref","first-page":"624","DOI":"10.1016\/j.jmsy.2014.09.009","volume":"37","author":"T Maiti","year":"2015","unstructured":"Maiti T, Giri B (2015) A closed loop supply chain under retail price and the quality of product dependent demand. J Manuf Syst 37:624\u2013637","journal-title":"J Manuf Syst"},{"issue":"2","key":"5307_CR25","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/0165-0114(78)90011-8","volume":"1","author":"S Nahmias","year":"1978","unstructured":"Nahmias S (1978) Fuzzy variables. Fuzzy Sets Syst 1(2):97\u2013110","journal-title":"Fuzzy Sets Syst"},{"issue":"1\u20132","key":"5307_CR26","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1007\/s10479-015-1996-0","volume":"260","author":"A Roy","year":"2018","unstructured":"Roy A, Sana SS, Chaudhuri K (2018) Optimal Pricing of competing retailers under uncertain demand-a two layer supply chain model. Ann Oper Res 260(1\u20132):481\u2013500","journal-title":"Ann Oper Res"},{"key":"5307_CR27","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1007\/s12046-020-01351-z","volume":"45","author":"H Salehi","year":"2020","unstructured":"Salehi H, Taleizadeh AA, Tavakkoli-Moghaddam R, Hafezalkotob A (2020) Pricing and market segmentation in an uncertain supply chain. Sadhana 45:118","journal-title":"Sadhana"},{"issue":"2","key":"5307_CR28","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1007\/s00500-014-1532-1","volume":"20","author":"F Soleimani","year":"2016","unstructured":"Soleimani F (2016) Optimal pricing decisions in a fuzzy dual-channel supply chain. Soft Comput 20(2):689\u2013696","journal-title":"Soft Comput"},{"issue":"9","key":"5307_CR29","doi-asserted-by":"crossref","first-page":"2807","DOI":"10.1080\/00207543.2016.1154621","volume":"54","author":"AA Taleizadeh","year":"2016","unstructured":"Taleizadeh AA, Noori-Daryan M, Govindan K (2016) Pricing and ordering decisions of two competing supply chains with different composite policies: a Stackelberg game-theoretic approach. Int J Prod Res 54(9):2807\u20132836","journal-title":"Int J Prod Res"},{"key":"5307_CR30","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1016\/j.jclepro.2018.02.209","volume":"189","author":"AA Taleizadeh","year":"2018","unstructured":"Taleizadeh AA, Moshtagh MS, Moon I (2018a) Pricing, the quality of product, and collection optimization in a decentralized closed-loop supply chain with different channel structures: game theoretical approach. J Clean Prod 189:406\u2013431","journal-title":"J Clean Prod"},{"issue":"3","key":"5307_CR31","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1504\/EJIE.2018.092007","volume":"12","author":"AA Taleizadeh","year":"2018","unstructured":"Taleizadeh AA, Rezvan-Beydokhti S, C\u00e1rdenas-Barron LE (2018b) Joint determination of the optimal selling price, refund policy and quality level for complementary products in online purchasing. Eur J Ind Eng 12(3):332\u2013363","journal-title":"Eur J Ind Eng"},{"key":"5307_CR32","doi-asserted-by":"crossref","first-page":"119101","DOI":"10.1016\/j.jclepro.2019.119101","volume":"247","author":"J Wang","year":"2020","unstructured":"Wang J, Jiang H, Yu M (2020) Pricing decisions in a dual-channel green supply chain with product customization. J Clean Prod 247:119101","journal-title":"J Clean Prod"},{"issue":"2","key":"5307_CR33","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1007\/s10479-014-1541-6","volume":"242","author":"J Wei","year":"2016","unstructured":"Wei J, Zhao J (2016) Pricing decisions for substitutable products with horizontal and vertical competition in fuzzy environments. Ann Oper Res 242(2):505\u2013528","journal-title":"Ann Oper Res"},{"issue":"1","key":"5307_CR34","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/j.ijpe.2009.10.021","volume":"124","author":"T Xiao","year":"2010","unstructured":"Xiao T, Shi K, Yang D (2010) Coordination of a supply chain with consumer return under demand uncertainty. Int J Prod Econ 124(1):171\u2013180","journal-title":"Int J Prod Econ"},{"issue":"2","key":"5307_CR35","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1504\/IJEMR.2006.011028","volume":"1","author":"R Yan","year":"2006","unstructured":"Yan R, Ghose S, Bhatnagar A (2006) Cooperative advertising in a dual channel supply chain. Int J Electron Market Retail 1(2):99\u2013114","journal-title":"Int J Electron Market Retail"},{"key":"5307_CR700","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1007\/s11747-009-0171-z","volume":"38","author":"R Yan","year":"2010","unstructured":"Yan R (2010) Cooperative advertising, pricing strategy and firm performance in the e-marketing age. J Acad Mark Sci 38:510\u2013519","journal-title":"J Acad Mark Sci"},{"issue":"3","key":"5307_CR36","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338\u2013353","journal-title":"Inf Control"},{"key":"5307_CR37","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1016\/j.amc.2014.11.005","volume":"250","author":"J Zhao","year":"2015","unstructured":"Zhao J, Wang L (2015) Pricing and retail service decisions in fuzzy uncertainty environments. Appl Math Comput 250:580\u2013592","journal-title":"Appl Math Comput"},{"issue":"1","key":"5307_CR38","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/j.ejor.2004.04.049","volume":"169","author":"R Zhao","year":"2006","unstructured":"Zhao R, Tang W, Yun H (2006) Random fuzzy renewal process. Eur J Oper Res 169(1):189\u2013201","journal-title":"Eur J Oper Res"},{"issue":"2","key":"5307_CR39","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/j.ejor.2011.07.026","volume":"216","author":"J Zhao","year":"2012","unstructured":"Zhao J, Tang W, Zhao R, Wei J (2012) Pricing decisions for substitutable products with a common retailer in fuzzy environments. Eur J Oper Res 216(2):409\u2013419","journal-title":"Eur J Oper Res"},{"issue":"5","key":"5307_CR40","doi-asserted-by":"crossref","first-page":"1882","DOI":"10.1080\/00207543.2016.1234082","volume":"56","author":"J Zhao","year":"2018","unstructured":"Zhao J, Wei J, Li Y (2018) Pricing decisions of complementary products in a two-level fuzzy supply chain. Int J Prod Res 56(5):1882\u20131903","journal-title":"Int J Prod Res"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-05307-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-020-05307-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-05307-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,14]],"date-time":"2024-08-14T09:18:43Z","timestamp":1723627123000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-020-05307-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,22]]},"references-count":43,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["5307"],"URL":"https:\/\/doi.org\/10.1007\/s00500-020-05307-7","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,22]]},"assertion":[{"value":"22 September 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest in any matter.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Human and animal rights"}}]}}