Nonlinear membership functions in the fuzzy optimization of mechanical and structural systems

A. K. Dhingra, Singiresu S Rao, V. Kumar

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

4 Citations (Scopus)

Abstract

An application of fuzzy mathematical programming techniques to multiple objective design problems is presented. Two examples dealing with multiobjective design of mechanical and structural systems are considered. The fundamental assumption in fuzzy mathematical programming applications dealing with the use of linear membership functions is critically examined. Several nonlinear shapes for membership functions of the fuzzy sets are chosen consistent with varying perceptions of the designer, and are analysed to determine their impact on the overall design process. These shapes correspond to what we define as the coefficient of membership satiation. It is shown that the fuzzy min operator together with linear as well as nonlinear membership functions yield Pareto-optimal solutions to the original multiobjective problem. It is seen that final design for both examples is strongly influenced by the sign of membership satiation coefficient.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
PublisherPubl by AIAA
Pages403-413
Number of pages11
Editionpt 1
StatePublished - 1990
Externally publishedYes
Event31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I - Long Beach, CA, USA
Duration: Apr 2 1990Apr 4 1990

Other

Other31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I
CityLong Beach, CA, USA
Period4/2/904/4/90

Fingerprint

Membership functions
Mathematical programming
Fuzzy sets
Mathematical operators

ASJC Scopus subject areas

  • Architecture
  • Engineering(all)

Cite this

Dhingra, A. K., Rao, S. S., & Kumar, V. (1990). Nonlinear membership functions in the fuzzy optimization of mechanical and structural systems. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (pt 1 ed., pp. 403-413). Publ by AIAA.

Nonlinear membership functions in the fuzzy optimization of mechanical and structural systems. / Dhingra, A. K.; Rao, Singiresu S; Kumar, V.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. pt 1. ed. Publ by AIAA, 1990. p. 403-413.

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

Dhingra, AK, Rao, SS & Kumar, V 1990, Nonlinear membership functions in the fuzzy optimization of mechanical and structural systems. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. pt 1 edn, Publ by AIAA, pp. 403-413, 31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I, Long Beach, CA, USA, 4/2/90.
Dhingra AK, Rao SS, Kumar V. Nonlinear membership functions in the fuzzy optimization of mechanical and structural systems. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. pt 1 ed. Publ by AIAA. 1990. p. 403-413
Dhingra, A. K. ; Rao, Singiresu S ; Kumar, V. / Nonlinear membership functions in the fuzzy optimization of mechanical and structural systems. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. pt 1. ed. Publ by AIAA, 1990. pp. 403-413
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