Knowledge Base Repository
In addition to research papers, the Design Society is developing several valuable resources for those interested in the study of design. These include a repository of PhD theses, a library of case studies and transcripts of design activities, and an archive of our newsletters. Please note that these resources are accessible exclusively to Design Society members.
DSM Relational Structures Extended With Fuzzy Sets Of Higher Types
Patrik Eklund (1), Magnus Löfstrand (2), Satyam Paul (2), Mehdi Goodarzi (2)
Type:
Year:
2025
Editor:
Ali A. Yassine, Christopher Langner, Matthias Kreimeyer, Tyson R. Browning, Steven D. Eppinger
Author:
Series:
DSM
Institution:
1: Umeå University, Computing Science, Sweden; 2: Örebro University, Mechanical Engineering, Sweden
Page(s):
21-30
DOI number:
Abstract:
In this paper we show how relational representations of design structure matrices (DSM), on the one hand, enables to describe domain dependencies and connections as relational composition, and, on the other hand, invites to using a variety of algebraic structures for the sets of qualifications attached with non-binary matrices. Particularly, we use fuzzy sets of higher types to model qualifications in many-valued DSMs where compositional techniques allow for extending the use of fuzzy sets of higher types also in the setting of multidomain matrices (MDM). We further show how clustered domains can be embedded as modelled within powersets of domains, thus providing a further justification for adopting the relational view of DSMs, particularly as the qualification space needs to support folding and unfolding across hierarchies in clustered domains. Our case study is drawn from scenarios involving maintenance of equipment in mineral mining.
Keywords:
