{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T04:44:04Z","timestamp":1761108244226},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2014,9,26]],"date-time":"2014-09-26T00:00:00Z","timestamp":1411689600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1007\/s00500-014-1464-9","type":"journal-article","created":{"date-parts":[[2014,9,25]],"date-time":"2014-09-25T11:14:37Z","timestamp":1411643677000},"page":"3009-3027","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Linear optimization with mixed fuzzy relation inequality constraints using the pseudo-t-norms and its application"],"prefix":"10.1007","volume":"19","author":[{"given":"Ali","family":"Abbasi Molai","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,9,26]]},"reference":[{"key":"1464_CR1","doi-asserted-by":"crossref","first-page":"1293","DOI":"10.1016\/j.ins.2007.10.010","volume":"178","author":"A Abbasi Molai","year":"2008","unstructured":"Abbasi Molai A, Khorram E (2008) An algorithm for solving fuzzy relation equations with max-T composition operator. Inf Sci 178:1293\u20131308","journal-title":"Inf Sci"},{"key":"1464_CR2","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1016\/j.cie.2014.03.024","volume":"72","author":"A Abbasi Molai","year":"2014","unstructured":"Abbasi Molai A (2014) A new algorithm for resolution of the quadratic programming problem with fuzzy relation inequality constraints. Comput Ind Eng 72:306\u2013314","journal-title":"Comput Ind Eng"},{"key":"1464_CR3","unstructured":"Abbasi Molai A (2013) Linear objective function optimization with the max-product fuzzy relation inequality constraints, Iranian Journal of Fuzzy Systems 10(5):47\u201361"},{"key":"1464_CR4","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/978-94-010-1161-7_6","volume-title":"Modern uses of multiple valued logic","author":"RE Bellman","year":"1977","unstructured":"Bellman RE, Zadeh LA (1977) Local and fuzzy logics. In: Dunn JM, Epstein D (eds) Modern uses of multiple valued logic. Reidel, Dordrecht, pp 103\u2013165"},{"key":"1464_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-1650-5","volume-title":"Fuzzy relation equations and their applications to knowledge engineering","author":"A Nola Di","year":"1989","unstructured":"Di Nola A, Sessa S, Pedrycz W, Sanchez E (1989) Fuzzy relation equations and their applications to knowledge engineering. Kluwer, Dordrecht"},{"key":"1464_CR6","first-page":"59","volume-title":"Fuzzy Sets","author":"D Dubois","year":"1986","unstructured":"Dubois D, Prade H (1986) New results about properties and semantics of fuzzy set-theoretic operators. In: Wang PP, Chang SK (eds) Fuzzy Sets. Plenum Press, New York, pp 59\u201375"},{"key":"1464_CR7","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/S0165-0114(97)00184-X","volume":"103","author":"SC Fang","year":"1999","unstructured":"Fang SC, Li G (1999) Solving fuzzy relation equations with a linear objective function. Fuzzy Sets Syst 103:107\u2013113","journal-title":"Fuzzy Sets Syst"},{"key":"1464_CR8","doi-asserted-by":"crossref","unstructured":"Feng S, Ma Y, Li J (2012) A kind of nonlinear and non-convex optimization problems under mixed fuzzy relational equations constraints with max\u2013min and max\u2013average composition. In: 2012 eighth international conference on computational intelligence and security, Guangzhou, China, 17\u201318 November, ISBN: 978-1-4673-4725-9","DOI":"10.1109\/CIS.2012.42"},{"key":"1464_CR9","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/0888-613X(94)00012-R","volume":"12","author":"JC Fodor","year":"1995","unstructured":"Fodor JC, Keresztfalvi T (1995) Nonstandard conjunctions and implications in fuzzy logic. Int J Approx Reason 12:69\u201384","journal-title":"Int J Approx Reason"},{"key":"1464_CR10","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1016\/j.ins.2007.07.022","volume":"178","author":"A Ghodousian","year":"2008","unstructured":"Ghodousian A, Khorram E (2008) Fuzzy linear optimization in the presence of the fuzzy relation inequality constraints with max-min composition. Inf Sci 178:501\u2013519","journal-title":"Inf Sci"},{"key":"1464_CR11","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/s10700-005-4914-0","volume":"5","author":"FF Guo","year":"2006","unstructured":"Guo FF, Xia ZQ (2006) An algorithm for solving optimization problems with one linear objective function and finitely many constraints of fuzzy relation inequalities. Fuzzy Optim Decis Mak 5:33\u201347","journal-title":"Fuzzy Optim Decis Mak"},{"key":"1464_CR12","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1023\/A:1020955112523","volume":"1","author":"SM Guu","year":"2002","unstructured":"Guu SM, Wu YK (2002) Minimizing a linear objective function with fuzzy relation equation constraints. Fuzzy Optim Decis Mak 1:347\u2013360","journal-title":"Fuzzy Optim Decis Mak"},{"key":"1464_CR13","doi-asserted-by":"crossref","unstructured":"Han S-C, Li H-X, Wang J-Y (2006) Resolution of finite fuzzy relation equations based on strong pseudo-t-norms. Appl Math Lett 19:752\u2013757","DOI":"10.1016\/j.aml.2005.11.001"},{"key":"1464_CR14","doi-asserted-by":"crossref","unstructured":"Li P, Fang S-C (2008) On the resolution and optimization of a system of fuzzy relational equations with sup-T composition. Fuzzy Optim Decis Mak 7:169\u2013214","DOI":"10.1007\/s10700-008-9029-y"},{"key":"1464_CR15","doi-asserted-by":"crossref","unstructured":"Li J, Feng S, Mi H (2012) A kind of nonlinear programming problem based on mixed fuzzy relation equations constraints. Phys Proc 33:1717\u20131724","DOI":"10.1016\/j.phpro.2012.05.276"},{"key":"1464_CR16","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1016\/S0165-0114(98)00417-5","volume":"118","author":"J Loetamonphong","year":"2001","unstructured":"Loetamonphong J, Fang SC (2001) Optimization of fuzzy relation equations with max-product composition. Fuzzy Sets Syst 118:509\u2013517","journal-title":"Fuzzy Sets Syst"},{"key":"1464_CR17","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s10700-009-9054-5","volume":"8","author":"Z Mashayekhi","year":"2009","unstructured":"Mashayekhi Z, Khorram E (2009) On optimizing a linear objective function subjected to fuzzy relation inequalities. Fuzzy Optim Decis Mak 8:103\u2013114","journal-title":"Fuzzy Optim Decis Mak"},{"key":"1464_CR18","unstructured":"Peeva K, Zahariev ZL, Atanasov IV (2008a) Optimization of linear objective function under max-product fuzzy relational constraint. In: 9th WSEAS international conference on FUZZY SYSTEMS (FS\u201908) Sofia, Bulgaria, 2\u20134 May 2008, pp 132\u2013137, ISBN: 978-960-6766-56-5, ISSN: 1790-5109"},{"key":"1464_CR19","doi-asserted-by":"crossref","unstructured":"Peeva K, Zahariev ZL, Atanasov I (2008b) Software for optimization of linear objective function with fuzzy relational constraint. In: Fourth international IEEE conference on intelligent systems, September 2008, Varna","DOI":"10.1109\/IS.2008.4670459"},{"key":"1464_CR20","unstructured":"Peeva K (2001) Composite fuzzy relational equations in decision making: chemistry. In: Cheshankov B, Todorov M (eds) Proceedings of the 26th summer school applications of mathematics in engineering and economics, Sozopol 2000. Heron Press, pp 260\u2013264"},{"key":"1464_CR21","volume-title":"Fuzzy relational calculus: theory, applications and software","author":"K Peeva","year":"2004","unstructured":"Peeva K, Kyosev Y (2004) Fuzzy relational calculus: theory, applications and software. World Scientific, New Jersey"},{"key":"1464_CR22","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1016\/S0019-9958(76)90446-0","volume":"30","author":"E Sanchez","year":"1976","unstructured":"Sanchez E (1976) Resolution of composite fuzzy relation equation. Inf Control 30:38\u201348","journal-title":"Inf Control"},{"key":"1464_CR23","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/0165-0114(79)90023-X","volume":"2","author":"U Thole","year":"1979","unstructured":"Thole U, Zimmermann H-J, Zysno P (1979) On the suitability of minimum and product operators for intersection of fuzzy sets. Fuzzy Sets Sys 2:167\u2013180","journal-title":"Fuzzy Sets Sys"},{"key":"1464_CR24","unstructured":"Vasantha Kandasamy WB, Smarandache F (2004) Fuzzy relational maps and neutrosophic relational maps, hexis church rock (see chapters one and two) http:\/\/mat.iitm.ac.in\/~wbv\/book13.htm"},{"key":"1464_CR25","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/0022-247X(91)90222-L","volume":"159","author":"PZ Wang","year":"1991","unstructured":"Wang PZ, Zhang DZ, Sachez E, Lee ES (1991) Lattecized linear programming and fuzzy relational inequalities. J Math Anal Appl 159:72\u201387","journal-title":"J Math Anal Appl"},{"issue":"4","key":"1464_CR26","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1109\/TFUZZ.2002.800657","volume":"10","author":"YK Wu","year":"2002","unstructured":"Wu YK, Guu SM, Liu JYC (2002) An accelerated approach for solving fuzzy relation equations with a linear objective function. IEEE Trans Fuzzy Syst 10(4):552\u2013558","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"1464_CR27","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/j.fss.2004.09.010","volume":"150","author":"YK Wu","year":"2005","unstructured":"Wu YK, Guu SM (2005) Minimizing a linear function under a fuzzy max-min relational equation constraint. Fuzzy Sets Syst 150:147\u2013162","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"1464_CR28","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1023\/B:FODM.0000036862.45420.ea","volume":"3","author":"YK Wu","year":"2004","unstructured":"Wu YK, Guu SM (2004) A note on fuzzy relation programming problems with max-strict-t-norm composition. Fuzzy Optim Decis Mak 3(3):271\u2013278","journal-title":"Fuzzy Optim Decis Mak"},{"key":"1464_CR29","first-page":"235","volume":"8","author":"RR Yager","year":"1982","unstructured":"Yager RR (1982) Some procedures for selecting fuzzy set-theoretic operators. Int J Gen Syst 8:235\u2013242","journal-title":"Int J Gen Syst"},{"key":"1464_CR30","first-page":"231","volume":"3","author":"HT Zhang","year":"2003","unstructured":"Zhang HT, Dong HM, Ren RH (2003) Programming problem with fuzzy relation inequality constraints. J Liaoning Noramal Univ 3:231\u2013233","journal-title":"J Liaoning Noramal Univ"},{"key":"1464_CR31","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-7949-0","volume-title":"Fuzzy set theory and its applications","author":"H-J Zimmermann","year":"1991","unstructured":"Zimmermann H-J (1991) Fuzzy set theory and its applications. Kluwer Academic Publishers, Boston"},{"key":"1464_CR32","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/0165-0114(80)90062-7","volume":"4","author":"H-J Zimmermann","year":"1980","unstructured":"Zimmermann H-J, Zysno P (1980) Latent connectives in human decision-making. Fuzzy Sets Syst 4:37\u201351","journal-title":"Fuzzy Sets Syst"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-014-1464-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-014-1464-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-014-1464-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T21:43:42Z","timestamp":1559079822000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-014-1464-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,26]]},"references-count":32,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2015,10]]}},"alternative-id":["1464"],"URL":"https:\/\/doi.org\/10.1007\/s00500-014-1464-9","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,26]]}}}