Total belief theorem and conditional belief functions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Geometric conditional belief functions

In this paper we study the problem of conditioning a belief function b with respect to an event A by geometrically projecting such belief function onto the simplex associated with A in the simplex of all belief functions. Two different such simplices can be defined, as each belief function can be represented as the vector of its basic probability values or the vector of its belief values. We sh...

متن کامل

The Total Belief Theorem

In this paper, motivated by the treatment of conditional constraints in the data association problem, we state and prove the generalisation of the law of total probability to belief functions, as finite random sets. Our results apply to the case in which Dempster’s conditioning is employed. We show that the solution to the resulting total belief problem is in general not unique, whereas it is u...

متن کامل

Geometric conditional belief functions in the belief space

In this paper we study the problem of conditioning a belief function (b.f.) b with respect to an event A by geometrically projecting such belief function onto the simplex associated with A in the space of all belief functions. Defining geometric conditional b.f.s by minimizing Lp distances between b and the conditioning simplex in such “belief” space (rather than in the “mass” space) produces c...

متن کامل

Evidential Reasoning with Conditional Belief Functions

In the existing evidential networks with belief functions, the relations among the variables are always represented by joint belief functions on the product space of the involved variables. In this paper, we use conditional belief functions to represent such relations in the network and show some relations of these two kinds of representations. We also present a propagation algorithm for such n...

متن کامل

A Central Limit Theorem for Belief Functions

The purpose of this Note is to prove a form of CLT (Theorem 1.4) that is used in Epstein and Seo (2011). More general central limit results and other applications will follow in later drafts. Let S = fB;Ng and K (S) = ffBg; fNg; fB;Ngg the set of nonempty subsets of S. Denote by s1 = (s1; s2; :::) the generic element of S1 and by n (s1) the empirical frequency of the outcome B in the …rst n exp...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Journal of Intelligent Systems

سال: 2018

ISSN: 0884-8173

DOI: 10.1002/int.22031