Fuzzy and Multi-Level Decision Making : An Interactive Computational Approach

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. Front Matter....Pages i-ix Introduction....Pages 1-9 Linear Bi-level Programming....Pages 11-48 Other Multi-level Programming Algorithms....Pages 49-80 Possibility Theory and Knowledge Representation....Pages 81-95 Fuzzy Decision Making....Pages 97-116 Fuzzy Interactive Multi-level Decision Making....Pages 117-138 Aggregation of Fuzzy Systems in Multi-level Decisions....Pages 139-155 Possibilistic Minimum-cost Flow Problem....Pages 157-176 Back Matter....Pages 177-193