List all monotonic binary functions
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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.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1090910/image.png)
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."![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1090915/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1090915/image.png)
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