A fuzzy dynamic programming approach for mixed-discrete multistage decision processes

Ying Xiong, Singiresu S Rao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Many engineering optimization problems can be considered as multistage decision-making problems. If the system involves uncertainty in the form of linguistic parameters and vague data, a fuzzy approach is to be used for its description. The solution of such problems can be accomplished through fuzzy dynamic programming. However, most of the existing fuzzy dynamic programming algorithms can not deal with mixed-discrete design variables in the optimization of mechanical systems containing fuzzy information. They often assumed that a fuzzy goal is imposed only on the final state for simplicity, the values of fuzzy goal and other parameters need to be predefined, and an optimal solution is obtained in the continuous design space only. To better reflect the nature of uncertainties present in real-life optimization problems, a mixed-discrete fuzzy dynamic programming (MDFDP) approach is proposed in this work for solving multistage decision-making problems in mixed-discrete design space with a fuzzy goal and a fuzzy state imposed on each stage. The feasibility and versatility of the proposed method are illustrated by considering the design of a four-bar truss. To the authors' knowledge, this work represents the first fuzzy dynamic programming method reported in the literature for dealing with mixed-discrete optimization problems.

Original languageEnglish
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages749-765
Number of pages17
Volume1
StatePublished - Dec 1 2004
Event2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Salt Lake City, UT, United States
Duration: Sep 28 2004Oct 2 2004

Other

Other2004 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Country/TerritoryUnited States
CitySalt Lake City, UT
Period9/28/0410/2/04

ASJC Scopus subject areas

  • Engineering(all)

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