Abstract
This paper presents parallel algorithms for fuzzy arithmetic operations on systolic arrays. A large part of the arithmetic on fuzzy numbers is referred to as fuzzy convolutions, which take O(n2) time steps when implemented sequentially. In this paper, we present two parallel algorithms. The first algorithm runs on a linear array machine in O(n) time, using O(n) processors, and thus, achieving optimal time and cost. The second algorithm runs on a mesh-of-trees type of computer architecture in L(log n) time steps, using O(n2) processors. The latter, although not optimal achieved high speedup. Both can be adapted to handle larger linear fuzzy numbers of fuzzy numbers with higher dimension.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1283-1301 |
| Number of pages | 19 |
| Journal | Parallel Computing |
| Volume | 19 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 1993 |
Keywords
- Systolic arrays
- fuzzy arithmetic
- linear array of processors
- mesh-of-trees of processors
- speed-up analysis
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Hardware and Architecture
- Computer Networks and Communications
- Computer Graphics and Computer-Aided Design
- Artificial Intelligence
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Cite this
Dhrif, H., & Sarkar, D. (1993). Fuzzy arithmetic on systolic arrays. Parallel Computing, 19(11), 1283-1301. https://doi.org/10.1016/0167-8191(93)90032-G