Generalized set-propagation operations over relations of more than three variables

  title={Generalized set-propagation operations over relations of more than three variables},
  author={William W. Finch and Allen C. Ward},
  journal={AI EDAM},
This paper extends previously developed generalized set propagation operations to work over relationships among an arbitrary number of variables, thereby expanding the domain of engineering design problems the theory can address. It then narrows its scope to a class of functions and sets useful to designers solving engineering problems: monotonic algebraic functions and closed intervals of real numbers, proving formulas for computing the operations under these conditions. The work is aimed at… CONTINUE READING
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A Theory of Quantitative Inference for Artifact Sets, Applied to a Mechanical Design Compiler

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  • Ph.D. Thesis
  • 1989
Highly Influential
4 Excerpts

Communicating requirements to auto parts suppliers in the U.S. and Japan: Evidence for the set-based hypothesis in concurrent engineering

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Generalizing interval matrix operations for design

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Multiple-type interval propagations through non-monotonic equations

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In pursuit of a design mathematics: Generalizing the labeled interval calculus

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Principles of Optimal Design, Modeling and Computation

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A recursive model for managing the design process

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