List all monotonic binary functions
2 views (last 30 days)
Show older comments
Is there a simple implemntation of functions in Matlab that can list / output all monotonic binary functions for a given input vector? These are sometimes informally called Dedekind functions. I saw a link on the Mathematica stack exchange, but I don't see a clear equivalency between the solution that appears in the that link, and functions that we can implement in Matlab. Stated simply, there is something lost in translation.
I pasted an example table when N = 2 and there are N = 16 different functions, but only 6 are monotone. The "sensor output" just indicates a decision (0 or 1). The "global fusion rule" is the list of binary functions.
Others (table from reference pasted below) give the number montone functions for a larger "number of sensors", which is just the length of the Boolean vector. The reference for the table that appears below is: "Thomopoulos, S. C. A., Viswanathan, R., & Bougoulias, D. K. (1989). Optimal distributed decision fusion. IEEE Transactions on aerospace and electronic systems, 25(5), 761-765."
2 Comments
Answers (0)
See Also
Categories
Find more on Logical in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!