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

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

Research output: Contribution to journalConference article

4 Scopus citations


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)
Pages (from-to)403-413
Number of pages11
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Issue numberpt 1
StatePublished - Jan 1 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


ASJC Scopus subject areas

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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