LEADER 05293nam 22007335 450 001 9910438084103321 005 20200920052204.0 010 $a1-4614-9399-4 024 7 $a10.1007/978-1-4614-9399-0 035 $a(CKB)3710000000031194 035 $a(SSID)ssj0001066629 035 $a(PQKBManifestationID)11593805 035 $a(PQKBTitleCode)TC0001066629 035 $a(PQKBWorkID)11067726 035 $a(PQKB)11694068 035 $a(DE-He213)978-1-4614-9399-0 035 $a(MiAaPQ)EBC6312719 035 $a(MiAaPQ)EBC1591903 035 $a(Au-PeEL)EBL1591903 035 $a(CaPaEBR)ebr10965604 035 $a(OCoLC)864999765 035 $a(PPN)176101233 035 $a(EXLCZ)993710000000031194 100 $a20131128d2013 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLinear and Multiobjective Programming with Fuzzy Stochastic Extensions$b[electronic resource] /$fby Masatoshi Sakawa, Hitoshi Yano, Ichiro Nishizaki 205 $a1st ed. 2013. 210 1$aNew York, NY :$cSpringer US :$cImprint: Springer,$d2013. 215 $a1 online resource (XIII, 339 p. 59 illus., 21 illus. in color.) 225 1 $aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v203 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4614-9398-6 327 $aIntroduction -- Linear Programming -- Multiobjective Linear Programming -- Fuzzy Linear Programming -- Stochastic Linear Programming -- Interactive Fuzzy Multiobjective Stochastic Linear Programming -- Purchase and Transportation Planning for Food Retailing -- Linear Algebra -- Nonlinear Programming -- Usage of Excel Solver. 330 $aAlthough several books or monographs on multiobjective optimization under uncertainty have been published, there seems to be no book which starts with an introductory chapter of linear programming and is designed to incorporate both fuzziness and randomness into multiobjective programming in a unified way. In this book, five major topics, linear programming, multiobjective programming, fuzzy programming, stochastic programming, and fuzzy stochastic programming, are presented in a comprehensive manner. Especially, the last four topics together comprise the main characteristics of this book, and special stress is placed on interactive decision making aspects of multiobjective programming for human-centered systems in most realistic situations under fuzziness and/or randomness. Organization of each chapter is briefly summarized as follows:  Chapter 2 is a concise and condensed description of the theory of linear programming and its algorithms. Chapter 3 discusses fundamental notions and methods of multiobjective linear programming and concludes with interactive multiobjective linear programming. In Chapter 4, starting with clear explanations of fuzzy linear programming and fuzzy multiobjective linear programming, interactive fuzzy multiobjective linear programming is presented. Chapter 5 gives detailed explanations of fundamental notions and methods of stochastic programming including two-stage programming and chance constrained programming.  Chapter 6 develops several interactive fuzzy programming approaches to multiobjective stochastic programming problems. Applications to purchase and transportation planning for food retailing are considered in Chapter 7. The book is self-contained because of the three appendices and answers to problems. Appendix A contains a brief summary of the topics from linear algebra. Pertinent results from nonlinear programming are summarized in Appendix B. Appendix C is a clear explanation of the Excel Solver, one of the easiest ways to solve optimization problems, through the use of simple examples of linear and nonlinear programming. 410 0$aInternational Series in Operations Research & Management Science,$x0884-8289 ;$v203 606 $aOperations research 606 $aDecision making 606 $aManagement science 606 $aProbabilities 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aOperations research. 615 0$aDecision making. 615 0$aManagement science. 615 0$aProbabilities. 615 14$aOperations Research/Decision Theory. 615 24$aOperations Research, Management Science. 615 24$aProbability Theory and Stochastic Processes. 676 $a330 700 $aSakawa$b Masatoshi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0103285 702 $aYano$b Hitoshi$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aNishizaki$b Ichiro$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438084103321 996 $aLinear and Multiobjective Programming with Fuzzy Stochastic Extensions$92503234 997 $aUNINA