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Properties of finite set systems.
The PHD filter was initially developed in the framework of finite set statistics (FISST) [5].
This approach is a theoretically optimal approach to multitarget tracking in the framework of finite set statistics (FISST) [12].
In this article, multitarget TBD measurements are modeled, and a highly efficient filter in the framework of finite set statistics (FISST) is designed.
The SetJPDAF was derived with the objective of minimizing the mean optimal subpattern assignment (MOSPA) measure within the framework of finite set statistics.
To solve this problem, this paper proposes a novel tracking algorithm based on the theory of finite set statistics (FISST) called the multipath probability hypothesis density (MP-PHD) filter in cluttered environments.
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Let be a collection of subsets of a finite set.
The hypergraph theory can be viewed as a study of combinatorial properties of finite families of finite sets.
The hypergraph theory is a branch of mathematics concerned with combinatorial properties of (finite) families of (finite) sets.
Let H be a real Hilbert space, (A:H to H) be a monotone and ρ-Lipschitz-continuous mapping, (S:H to H) be a nonexpansive mapping, (A_{i},B_{j} ( i = 1,2, ldots,k; j = 1,2, ldots,l ): H to2^{H}) be two families of finite set-valued maximal monotone mappings such that (D = ( bigcap_{i = 1}^{k}A_{i}^{ - 1}0 ) cap ( bigcap_{j = 1}^{l}B_{j}^{ - 1}0 ) cap F ( S ) cap A^{ - 1}0) is nonempty.
Let (mathcal{{C}}) be the space of finite sets of distinct positive integers.
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