Journal ArticleDOI
Multi‐objective optimization of fuzzy structural systems
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A method of solving a fuzzy multi-objective structural optimization problem using ordinary single- objective programming techniques is presented.Abstract:
It is recognized that there exists a vast amount of fuzzy information in both the objective and constraint functions of the optimum design of structures. Since most practical structural design problems involve several, often conflicting, objectives to be considered, a multi-objective fuzzy programming method is outlined in this work. The fuzzy constraints define a fuzzy feasible domain in the design space and each of the fuzzy objective functions defines the optimum solution by a fuzzy set of points. A method of solving a fuzzy multi-objective structural optimization problem using ordinary single-objective programming techniques is presented. The computational approach is illustrated with two numerical examples.read more
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References
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Journal ArticleDOI
Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Journal ArticleDOI
Structural synthesis - Its genesis and development
TL;DR: An historical account is given of the development, from its conception in 1960, of the structural synthesis method, and such elementary applications of synthesis methods as the three-bar truss, an integrally stiffened waffle plate, a stiffened cylindrical shell, and an idealized delta wing are given.
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Fuzzy Sets and Structural Engineering
Colin B. Brown,James T. P. Yao +1 more
TL;DR: This paper may be considered as a primer for applications in structural engineering by providing a justification for the fuzzy set theory and then simple fuzzy operations are developed and contrasted with those of conventional set theory.
Journal ArticleDOI
Structural Optimization-Past, Present, and Future
TL;DR: The use of numerical techniques in structural optimization is emphasized here because it provides insight into the design problem and because it often provides theoretical lower bounds against which more practical designs may be judged.
Journal ArticleDOI
Fuzzy optimum design of structures
Wang Guang-Yuan,Wang Wen-Quan +1 more
TL;DR: In the presented procedure, optimum structural design with fuzzy constraints is transformed into a set of ordinary optimum problems by a level cuts approach which results in a sequence of optimum design schemes with different design levels.