Optimizing Linear Optimization Problems under Fuzzy Relational Equations with Max-Star Composition

摘要：

Max-minand max-product compositions are commonly utilizedto optimizea linearobjective functionsubjecttofuzzy relationalequations. Botharemembersintheclassof max-t-normcomposition. In this study, the max-star composition is considered for the same optimization model, which does not belong to the max-t-norm composition. However, max-star composition generates some properties of the solutionsetthatare similartothe max-productcomposition. Thankstotheseproperties,asimple value matrix with rules can be applied to reduce problem size. Thus, this study proposes an effcient procedure for obtaining optimal solutions without decomposing the problem into two sub-problems or f nding all thepotential minimal solutions.

关键词： Fuzzy optimization Fuzzy relational equations Max-star composition

作者: Yan-KuenWu

作者单位: Department of Industrial Management,Vanung University,320,Chung-Li,Taoyuan,Taiwan,R.O.C.

会议类型: 国际会议

会议名称: 第六届管理学国际会议(Proceedings of ICM2007 the 6th International on Management)

会议地点: 武汉

会议语种:英文

页码: 107-114

在线出版日期: 2007-08-03（万方平台首次上网日期，不代表论文的发表时间）