Abstract
This study develops a method for determining optimal design embodiments under the following assumptions: (1) the design approach involves the axiomatic design theory and (2) the design-relevant information refers to a designer’s intuition, expressible as f-granular information. The optimal design embodiments are then obtained by determining such optimal set of crisp points having definiteness positions close to each other. Here, a crisp point means a value of one of the parameters needed to specify the design. The definiteness position of a crisp point depends on two factors: (1) how much a designer knows about this point, and (2) how desirable it is to design the actual product. The usefulness of the proposed method is demonstrated by an example that involves both weight and dimension measures. As axiomatic-design-theoretic practices move further into the age of design automation, various machine intelligence techniques capable of computing qualitative information (f-granular information) rather than numbers (numerical or semi-numerical information) will be needed. This study is intended to further such investigations.






Notes
The elements in the LM are explained in Sect. 5.
The granule corresponding to the maximal DoB is considered to be the most significant granule (sg). The granule corresponding to the minimal degree of DoB is considered to the most insignificant granule (ig).
In determining UoD for each piece of f-granular information, the designer may employ his/her intuition.
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With a deep sense of appreciation, the author acknowledges the reviewers for their constructive comments and suggestions.
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Ullah, A.M.M.S. Handling design perceptions: an axiomatic design perspective. Res Eng Design 16, 109–117 (2005). https://doi.org/10.1007/s00163-005-0002-2
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DOI: https://doi.org/10.1007/s00163-005-0002-2