Fuzzy arithmetic on systolic arrays
Hassen Dhrif, Dilip Sarkar · Parallel Computing · 1993
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.