Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: With the term 'anti-monotonic function',  designate spe- cific boolean functions on subsets of a finite set of positive integers which  call the universe. Through the ll-known bijective relationship be- ten the set of monotonic functions and the set of anti-monotonic func- tions, the study of the anti-monotonic functions is equivalent to the study of monotonic functions. The true-set of an anti-monotonic function is an antichain. If the universe is denoted by N, the set of anti-monotonic functions is denoted by AMF (N). This set can be partially ordered in a natural way.  studies enumeration in the resulting lattice of anti-monotonic functions.  define intervals of anti-monotonic func- tions according to this order and present four properties of such intervals, Finally  give a formula for the size of a general interval and a recursion formula for the n-th number of Dedekind.
['Patrick De Causmaecker', 'Stefan De Wannemacker']
I am writing a research paper on a idea Decomposition of Intervals in the Space of Anti-Monotonic Functions
[{"from": "human", "value": "I am writing a research paper on a idea Decomposition of Intervals in the Space of Anti-Monotonic Functions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: With the term 'anti-monotonic function',  designate spe- cific boolean functions on subsets of a finite set of positive integers which  call the universe. Through the ll-known bijective relationship be- ten the set of monotonic functions and the set of anti-monotonic func- tions, the study of the anti-monotonic functions is equivalent to the study of monotonic functions. The true-set of an anti-monotonic function is an antichain. If the universe is denoted by N, the set of anti-monotonic functions is denoted by AMF (N). This set can be partially ordered in a natural way.  studies enumeration in the resulting lattice of anti-monotonic functions.  define intervals of anti-monotonic func- tions according to this order and present four properties of such intervals, Finally  give a formula for the size of a general interval and a recursion formula for the n-th number of Dedekind."}]