Managerial Decisions in hierarchy organizations, such as the various manufacturing and service companies, are difficult to formalize and even more difficult to optimize. By exploring the typical fuzziness, vagueness, or the "not-well-defined" nature of such organizations, this book presents the first comprehensive treatment of this difficult and practically important problem. The advantages of the proposed fuzzy interactive approach are that it significantly reduces computational requirements. Equally, the representation of the system is made more realistic through the recognition of the inherent fuzziness of such large organizations. Both the multi-ploy and the game-like decision making processes, also known as multi-level programming and the fuzzy interactive approach, are discussed in detail. The emphasis is on numerical algorithms and numerous examples are solved and compared. The concepts of fuzzy set and fuzzy linguistic representation, which form an integral part of any managerial decision, are also discussed.

A unique book for engineers wishing to widen their understanding of Fuzzy Multiple Level Optimization Useful for solving engineering and social problems that occur in today's hierarchical organizations The authors reveal that the indefinite aspects of a large organization can be taken into consideration when problem-solving, and that numerical solutions are easier to obtain as a result

Inhalt

1. Introduction.- 1.1 Decision Making in Hierarchy Systems: Multi-ploy versus Interactive Decisions.- 1.2 Bi-Level and Multi-level Programming.- 1.3 Characteristics of Duo-ploy Systems.- 1.4 Characteristics of Duo-ploy Systems with Multi-followers.- 1.5 Fuzzy Interactive Decision Making.- 2. Linear Bi-level Programming.- 2.1 Linear Bi-level Programming.- 2.2 Extreme-point Search.- 2.3 Transformation Approach.- 2.4 Discussions.- 3. Other Multi-level Programming Algorithms.- 3.1 Linear Bi-level Distributed Programming.- 3.2 Linear Three-level Programming Problem.- 3.3 Non-linear Multi-level Programming.- 3.4 Discrete Bi-level Programming.- 3.5 Discussions.- 4. Possibility Theory and Knowledge Representation.- 4.1 Possibility Theory.- 4.2 Knowledge Representation.- 5. Fuzzy Decision Making.- 5.1 Fuzzy Linear Programming.- 5.2 Multiple-objective Programming.- 5.3 Fuzzy Approach to Multiple-objective Programming.- 5.4 Fuzzy Multiple-objective Programming with Fuzzy Parameters.- 5.5 Possibility Programming.- 6. Fuzzy Interactive Multi-level Decision Making.- 6.1 Fuzzy Bi-level Interactive Decision Making.- 6.2 Fuzzy Bi-level Interactive Decision Making with Multi-followers.- 6.3 Fuzzy Multi-level Interactive Decision Making.- 6.4 Fuzzy Multi-level Interactive Decision Making with Multi-followers.- 6.5 Discussions.- 7. Aggregation of Fuzzy Systems in Multi-level Decisions.- 7.1 Compensation in Bi-level Decisions.- 7.2Compensation in Multiple-level Problems.- 7.3 Bi-level Decentralized Problem with Equally Important Objectives.- 7.4 Bi-level Decentralized Problem with Unequally Important Objectives.- 7.5 Multiple-level Decentralized Problem.- 7.6 Fuzzy Multi-level Problem.- 7.7 Discussions.- 8. Possibilistic Minimum-cost Flow Problem.- 8.1 Minimum-cost Flow Problem.- 8.2 Possibility Approach to Minimum-cost Flow Problem.- 8.3 Possibility Approach to Multi-objective Minimum-cost Flow Problem.- 8.4 Possibility Approach to Multi-level Minimum-cost Flow Problem.- 8.5 Discussions.- References.