Verwandte Artikel zu Fuzzy Mathematical Programming: Methods and Applications

Fuzzy Mathematical Programming: Methods and Applications - Softcover

 
9783642487545: Fuzzy Mathematical Programming: Methods and Applications

Zu dieser ISBN ist aktuell kein Angebot verfügbar.

Inhaltsangabe

1 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.- 2.2.1 Basic Terminology and Definition.- 2.2.1.1 Definition of Fuzzy Sets.- 2.2.1.2 Support.- 2.2.1.3 ?-level Set.- 2.2.1.4 Normality.- 2.2.1.5 Convexity and Concavity.- 2.2.1.6 Extension Principle.- 2.2.1.7 Compatibility of Extension Principle with ?-cuts.- 2.2.1.8 Relation.- 2.2.1.9 Decomposability.- 2.2.1.10 Decomposition Theorem.- 2.2.1.11 Probability of Fuzzy Events.- 2.2.1.12 Conditional Fuzzy Sets.- 2.2.2 Basic Operations.- 2.2.2.1 Inclusion.- 2.2.2.2 Equality.- 2.2.2.3 Complementation.- 2.2.2.4 Intersection.- 2.2.2.5 Union.- 2.2.2.6 Algebraic Product.- 2.2.2.7 Algebraic Sum.- 2.2.2.8 Difference.- 2.3 Membership Functions.- 2.3.1 A Survey of Functional Forms.- 2.3.2 Examples to Generate Membership Functions.- 2.3.2.1 Distance Approach.- 2.3.2.2 True-Valued Approach.- 2.3.2.3 Payoff Function.- 2.3.2.4 Other Examples.- 2.4 Fuzzy Decision and Operators.- 2.4.1 Fuzzy Decision.- 2.4.2 Max-Min Operator.- 2.4.3 Compensatory Operators.- 2.4.3.1 Numerical Example for Operators.- 2.5 Fuzzy Arithmetic.- 2.5.1 Addition of Fuzzy Numbers.- 2.5.2 Subtraction of Fuzzy Numbers.- 2.5.3 Multiplication of Fuzzy Numbers.- 2.5.4 Division of Fuzzy Numbers.- 2.5.5 Triangular and Trapezoid Fuzzy Numbers.- 2.6 Fuzzy Ranking.- 3 Fuzzy Mathematical Programming.- 3.1 Fuzzy Linear Programming Models.- 3.1.1 Linear Programming Problem with Fuzzy Resources.- 3.1.1.1 Verdegay's Approach.- 3.1.1.1a Example 1: The Knox Production-Mix Selection Problem.- 3.1.1.1b Example 2: A Transportation Problem.- 3.1.1.2 Werners's Approach.- 3.1.1.2a Example 1: The Knox Production-Mix Selection Problem.- 3.1.1.2b Example 2: An Air Pollution Regulation Problem.- 3.1.2 Linear Programming Problem with Fuzzy Resources and Objective.- 3.1.2.1 Zimmermann's Approach.- 3.1.2.1a Example 1: The Knox Production-Mix Selection Problem.- 3.1.2.1b Example 2: A Regional Resource Allocation Problem.- 3.1.2.1c Example 3: A Fuzzy Resource Allocation Problem.- 3.1.2.2 Chanas's Approach.- 3.1.2.2a Example 1: An Optimal System Design Problem.- 3.1.2.2b Example 2: An Aggregate Production Planning Problem.- 3.1.3 Linear Programming Problem with Fuzzy Parameters in the Objective Function.- 3.1.4 Linear Programming with All Fuzzy Coefficients.- 3.1.4.1 Example: A Production Scheduling Problem.- 3.2 Interactive Fuzzy Linear Programming.- 3.2.1 Introduction.- 3.2.2 Discussion of Zimmermann's, Werners's Chanas's and Verdegay's Approaches.- 3.2.3 Interactive Fuzzy Linear Programming - I.- 3.2.3.1 Problem Setting.- 3.2.3.2 The Algorithm of IFLP-I.- 3.2.3.3 Example: The Knox Production-Mix Selection Problem.- 3.2.4 Interactive Fuzzy Linear Programming - II.- 3.2.4.1 The Algorithm of IFLP-II.- 3.3 Some Extensions of Fuzzy Linear Programming Problems.- 3.3.1 Membership Functions.- 3.3.1.1 Example: A Truck Fleet Problem.- 3.3.2 Operators.- 3.3.3 Sensitivity Analysis and Dual Theory.- 3.3.4 Fuzzy Non-Linear Programming.- 3.3.4.1 Example: A Fuzzy Machining Economics Problem.- 3.3.5 Fuzzy Integer Programming.- 3.3.5.1 Fuzzy 0-1 Linear Programming.- 3.3.5.1a Example: A Fuzzy Location Problem.- 4 Possibilistic Programming.- 4.1 Possibilistic Linear Programming Models.- 4.1.1 Linear Programming with Imprecise Resources and Technological Coefficients.- 4.1.1.1 Ramik and Rimanek's Approach.- 4.1.1.1a Example: A Profit Apportionment Problem.- 4.1.1.2 Tanaka, Ichihashi and Asai's Approach.- 4.1.1.3 Dubois's Approach.- 4.1.2 Linear Programming with Imprecise Objective Coefficients.- 4.1.2.1 Lai and Hwang's Approach.- 4.1.2.1a Example: A Winston-Salem Development Management Problem.- 4.1.2.2 Rommelfanger, Hanuscheck and Wolf's Approach.- 4.1.2.3 Delgado, Verdegay and Vila's Approach.- 4.1.3 Linear Programming with Impr

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

  • VerlagSpringer
  • Erscheinungsdatum2014
  • ISBN 10 3642487548
  • ISBN 13 9783642487545
  • EinbandPaperback
  • SpracheEnglisch
  • Kontakt zum HerstellerNicht verfügbar

(Keine Angebote verfügbar)

Buch Finden:



Kaufgesuch aufgeben

Sie finden Ihr gewünschtes Buch nicht? Wir suchen weiter für Sie. Sobald einer unserer Buchverkäufer das Buch bei AbeBooks anbietet, werden wir Sie informieren!

Kaufgesuch aufgeben

Weitere beliebte Ausgaben desselben Titels

9783540560982: Fuzzy Mathematical Programming: Methods and Applications: 394 (Lecture Notes in Economics and Mathematical Systems)

Vorgestellte Ausgabe

ISBN 10:  354056098X ISBN 13:  9783540560982
Verlag: Springer-Verlag, 1992
Softcover