Combining Belief Functions Issued from Dependent Sources
نویسنده
چکیده
Dempster’s rule for combining two belief functions assumes the independence of the sources of information. If this assumption is questionable, I suggest to use the least specific combination minimizing the conflict among the ones allowed by a simple generalization of Dempster’s rule. This increases the monotonicity of the reasoning and helps us to manage situations of dependence. Some properties of this combination rule and its usefulness in a generalization of Bayes’ theorem are then considered.
منابع مشابه
Combining partially independent belief functions
The theory of belief functions manages uncertainty and also proposes a set of combination rules to aggregate opinions of several sources. Some combination rules mix evidential information where sources are independent; other rules are suited to combine evidential information held by dependent sources. In this paper we have two main contributions: First we suggest a method to quantify sources’ d...
متن کاملComputing multiple c-revision using OCF knowledge base
Belief revision is the process of revising epistemic states in the light of new information. In this paper epistemic states are represented in the framework of Spohn’s Ordinal Conditional Functions (OCF). The input is a consistent set of propositional formulas issued from different and independent sources. We focus on the so-called multiple iterated belief crevision recently proposed by Kern-Is...
متن کاملThe Internal Conflict of a Belief Function
In this paper we define and derive an internal conflict of a belief function. We decompose the belief function in question into a set of generalized simple support functions (GSSFs). Removing the single GSSF supporting the empty set we obtain the base of the belief function as the remaining GSSFs. Combining all GSSFs of the base set, we obtain a base belief function by definition. We define the...
متن کاملBelief functions combination without the assumption of independence of the information sources
This paper considers the problem of combining belief functions obtained from not necessarily independent sources of information. It introduces two combination rules for the situation in which no assumption is made about the dependence of the information sources. These two rules are based on cautious combinations of plausibility and commonality functions, respectively. The paper studies the prop...
متن کاملIdempotent conjunctive combination of belief functions: Extending the minimum rule of possibility theory
When conjunctively merging two belief functions concerning a single variable but coming from different sources, Dempster rule of combination is justified only when information sources can be considered as independent. When dependencies between sources are ill-known, it is usual to require the property of idempotence for the merging of belief functions, as this property captures the possible red...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003