Mixed-discrete fuzzy multiobjective optimization of fuzzy systems

Singiresu S Rao, Ying Xiong

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

Abstract

Although much attention has been focused on the development and applications of fuzzy optimization, multiobjective programming and mixed-discrete optimization methods separately, fuzzy multiobjective optimization problems in mixed-discrete design space were not addressed in the literature. It is mainly due to the lack of mature and robust theories of mixed-discrete and multiobjective optimization. In most practical applications, designers often encounter problems involving imprecise or fuzzy information, multiple objectives and mixed-discrete design variables. This paper presents a new method in which the fuzzy μ-formulation and game theory techniques are combined with a mixed-discrete hybrid genetic algorithm for solving mixed-dixcrete fuzzy multiobjective programming problems. Three example problems, dealing with the optimal designs of a two-bar truss, a conical convective spine and a twenty-five bar truss, demonstrate that the method can be flexibly and effectively applied to various kinds of engineering design problems to obtain more realistic and satisfactory results in an imprecise environment.

Original languageEnglish
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Pages5479-5522
Number of pages44
Volume8
StatePublished - Dec 1 2006
Event47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Newport, RI, United States
Duration: May 1 2006May 4 2006

Other

Other47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
CountryUnited States
CityNewport, RI
Period5/1/065/4/06

Fingerprint

Fuzzy systems
Multiobjective optimization
Game theory
Genetic algorithms

ASJC Scopus subject areas

  • Architecture

Cite this

Rao, S. S., & Xiong, Y. (2006). Mixed-discrete fuzzy multiobjective optimization of fuzzy systems. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (Vol. 8, pp. 5479-5522)

Mixed-discrete fuzzy multiobjective optimization of fuzzy systems. / Rao, Singiresu S; Xiong, Ying.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 8 2006. p. 5479-5522.

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

Rao, SS & Xiong, Y 2006, Mixed-discrete fuzzy multiobjective optimization of fuzzy systems. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. vol. 8, pp. 5479-5522, 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Newport, RI, United States, 5/1/06.
Rao SS, Xiong Y. Mixed-discrete fuzzy multiobjective optimization of fuzzy systems. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 8. 2006. p. 5479-5522
Rao, Singiresu S ; Xiong, Ying. / Mixed-discrete fuzzy multiobjective optimization of fuzzy systems. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 8 2006. pp. 5479-5522
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