Weight-of-conflict conjecture

Weight-of-conflict conjecture was proposed by Glenn Shafer in his book on the Dempster–Shafer theory titled A Mathematical Theory of Evidence.

It states that if $Q_1$ and $Q_2$ are commonality functions for two separable support functions $S_1$ and $S_2$ defined over $\mathrm{\Theta }$, and $Q_1(A)\le Q_2(A)$, then the corresponding weights of conflict satisfy the condition $W_{S_1}\ge W_{S_2}$.

$\mathrm{\forall }A\subseteq \mathrm{\Theta }:Q_1(A)\le Q_2(A)⟹W_{S_1}\ge W_{S_2}$

References

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Further reading

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