Fuzzy approach for multi-level programming problems
學年 84
學期 1
出版（發表）日期 1996-01-01
作品名稱 Fuzzy approach for multi-level programming problems
作品名稱（其他語言）
著者 時序時; Shih, Hsu-shih; Lai, Y. J.; Lee, E. S.
單位 淡江大學經營決策學系
出版者
著錄名稱、卷期、頁數 Computers and operations research 23(1), pp.73-91
摘要 Multi-level programming techniques are developed to solve decentralized planning problems with multiple decision makers in a hierarchical organization. These become more important for contemporary decentralized organizations where each unit or department seeks its own interests. Traditional approaches include vertex enumeration and transformation approaches. The former is in search of a compromise vertex based on adjusting the control variable(s) of the higher level and thus is rather inefficient. The latter transfers the lower-level programming problem to be the constraints of the higher level by its Kuhn-Tucker conditions or penalty function; the corresponding auxiliary problem becomes non-linear and the decision information is also implicit. In this study, we use the concepts of tolerance membership functions and multiple objective optimization to develop a fuzzy approach for solving the above problems. The upper-level decision maker defines his or her objective and decisions with possible tolerances which are described by membership functions of fuzzy set theory. This information then constrains the lower-level decision maker's feasible space. A solution search relies on the change of membership functions instead of vertex enumeration and no higher order constraints are generated. Thus, the proposed approach will not increase the complexities of original problems and will usually solve a multilevel programming problem in a single iteration. To demonstrate our concept, we have solved numerical examples and compared their solutions with classical solutions.
關鍵字
語言 en
ISSN 0305-0548 1873-765X
期刊性質 國外
收錄於 SCI EI
產學合作
通訊作者
審稿制度 否
國別 GBR
公開徵稿
出版型式 ,電子版,紙本
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