03871nmm a2200433 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100001900139245012100158250001700279260006300296300003300359505100200392653002501394653001201419653002401431653002601455653002301481653003901504653001301543653001701556653002101573653002601594653002001620653002501640653004001665653001701705700003101722710003401753041001901787989003801806490005601844856007201900082001401972520145101986EB000662196EBX0100000000000000051527800000000000000.0cr|||||||||||||||||||||140122 ||| eng a97836424875381 aLai, Young-Jou00aFuzzy Mathematical ProgramminghElektronische RessourcebMethods and Applicationscby Young-Jou Lai, Ching-Lai Hwang a1st ed. 1992 aBerlin, HeidelbergbSpringer Berlin Heidelbergc1992, 1992 aXIII, 306 pbonline resource0 a1 Introduction -- 1.1 Objectives of This Study -- 1.2 Fuzzy Mathematical Programming Problems -- 1.3 Classification of Fuzzy Mathematical Programming -- 1.4 Applications of Fuzzy Mathematical Programming -- 1.5 Literature Survey -- 2 Fuzzy Set Theory -- 2.1 Fuzzy Sets -- 2.2 Fuzzy Set Theory -- 2.3 Membership Functions -- 2.4 Fuzzy Decision and Operators -- 2.5 Fuzzy Arithmetic -- 2.6 Fuzzy Ranking -- 3 Fuzzy Mathematical Programming -- 3.1 Fuzzy Linear Programming Models -- 3.2 Interactive Fuzzy Linear Programming -- 3.3 Some Extensions of Fuzzy Linear Programming Problems -- 4 Possibilistic Programming -- 4.1 Possibilistic Linear Programming Models -- 4.2 Some Extensions of Possibilistic Linear Programming -- 5 Concluding Remarks -- 5.1 Probability Theory versus Fuzzy Set Theory -- 5.2 Stochastic versus Possibilistic Programming -- 5.3 Future Research -- 5.4 Introduction of the Following Volume -- 5.5 Fuzzy Multiple Attribute Decision Making -- Books, Monographs and Conference Pro aDiscrete Mathematics aFinance aOperations research aProduction management aMathematical logic aMathematical Logic and Foundations aPlanning aOrganization aFinance, general aOperations Management aDecision making aDiscrete mathematics aOperations Research/Decision Theory aOrganization1 aHwang, Ching-Laie[author]2 aSpringerLink (Online service)07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aLecture Notes in Economics and Mathematical Systems uhttps://doi.org/10.1007/978-3-642-48753-8?nosfx=yxVerlag3Volltext0 a658.40301 aIn the last 25 years, the fuzzy set theory has been applied in many disciplines such as operations research, management science, control theory,artificial intelligence/expert system, etc. In this volume, methods and applications of fuzzy mathematical programming and possibilistic mathematical programming are first systematically and thoroughly reviewed and classified. This state-of-the-art survey provides readers with a capsule look into the existing methods, and their characteristics and applicability to analysis of fuzzy and possibilistic programming problems. To realize practical fuzzy modelling, we present solutions for real-world problems including production/manufacturing, transportation, assignment, game, environmental management, resource allocation, project investment, banking/finance, and agricultural economics. To improve flexibility and robustness of fuzzy mathematical programming techniques, we also present our expert decision-making support system IFLP which considers and solves all possibilities of a specific domain of (fuzzy) linear programming problems. Basic fuzzy set theories, membership functions, fuzzy decisions, operators and fuzzy arithmetic are introduced with simple numerical examples in aneasy-to-read and easy-to-follow manner. An updated bibliographical listing of 60 books, monographs or conference proceedings, and about 300 selected papers, reports or theses is presented in the end of this study