On (Anti)Conditional Independence in Dempster-Shafer Theory
نویسنده
چکیده
This paper verifies a result of [9] concerning graphoidal structure of Shenoy’s notion of independence for Dempster-Shafer theory of belief functions. Shenoy proved that his notion of independence has graphoidal properties for positive normal valuations. The requirement of strict positive normal valuations as prerequisite for application of graphoidal properties excludes a wide class of DS belief functions. It excludes especially so-called probabilistic belief functions. It is demonstrated that the requirement of positiveness of valuation may be weakened in that it may be required that commonality function is non-zero for singleton sets instead, and the graphoidal properties for independence of belief function variables are then preserved. This means especially that probabilistic belief functions with all singleton sets as focal points possess graphoidal properties for independence . 2 MIECZYS lAW A. K lOPOTEK (Version 02)
منابع مشابه
A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY
In this paper, a new Fuzzy Morphology (FM) based on the GeneralizedDempster-Shafer Theory (GDST) is proposed. At first, in order to clarify the similarity ofdefinitions between Mathematical Morphology (MM) and Dempster-Shafer Theory (DST),dilation and erosion morphological operations are studied from a different viewpoint. Then,based on this similarity, a FM based on the GDST is proposed. Unlik...
متن کاملA note on simple factorization in Dempster-Shafer theory of evidence
The paper introduces (in our knowledge first) attempt to define the concept of factorization within the Dempster-Shafer theory of evidence. In the same way as in probability theory, the presented concept can support procedures for efficient multidimensional model construction and processing. The main result of this paper is a factorization lemma describing, in the same way as in probability the...
متن کاملA Study on Properties of Dempster-Shafer Theory to Probability Theory transformations
In this paper, five conditions that have been proposed by Cobb and Shenoy are studied for nine different mappings from the Dempster-Shafer theory to the probability theory. After comparing these mappings, one of the considerable results indicates that none of the mappings satisfies the condition of invariance with respect to the marginalization process. In more details, the main reason for this...
متن کاملFactorization and Decomposable Models in Dempster-Shafer Theory of Evidence
The paper presents our attempt to define the concept of factorization within the Dempster-Shafer theory of evidence. In the same way as in probability theory, the introduced concept can support procedures for efficient multidimensional model construction and processing. The main result of this paper is a factorization lemma describing, in the same way as in probability theory, the relationship ...
متن کاملA Reasoning Model Based on an Extended Dempster-Shafer Theory
The Dempster-Shafer (D-S) theory of evidence suggests a coherent approach to aggregate evidence bearing on groups of mutually exclusive hypotheses; however, the uncertain relationships between evidence and hypotheses are difficult to represent in applications of the theory. In this paper, we extend the multivalued mapping in the D-S theory to a probabilistic one that uses conditional probabilit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1707.04277 شماره
صفحات -
تاریخ انتشار 2017