Let X be the universe, the set representing all possible states of a system. The power...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Let X be the universe, the set representing all possible states of a system. The power set 2* is the set of all subsets of X, including the empty set Ø. If X = {a, b}, two states in the system => 2X = {Ø, {a}, {b}, {a, b}} There are two observers 0₁ and 0₂, who make their observations independently => leading to two different sets of belief masses. For example, m₁ (0) = 0, m₁({a}) = 0.4, m₁({b}) = 0.3, m₁({a,b}) = 0.3 m₂ (0) = 0, m₂({a}) = 0.3, m₂({b}) = 0.5, m₂({a,b}) = 0.2 How to calculate the belief mass of set A = {a}? How to calculate the belief mass of set A = {b}? How to calculate the belief mass of set A = {a, b}? Let X be the universe, the set representing all possible states of a system. The power set 2* is the set of all subsets of X, including the empty set Ø. If X = {a, b}, two states in the system => 2X = {Ø, {a}, {b}, {a, b}} There are two observers 0₁ and 0₂, who make their observations independently => leading to two different sets of belief masses. For example, m₁ (0) = 0, m₁({a}) = 0.4, m₁({b}) = 0.3, m₁({a,b}) = 0.3 m₂ (0) = 0, m₂({a}) = 0.3, m₂({b}) = 0.5, m₂({a,b}) = 0.2 How to calculate the belief mass of set A = {a}? How to calculate the belief mass of set A = {b}? How to calculate the belief mass of set A = {a, b}?
Expert Answer:
Answer rating: 100% (QA)
to calculate the belief mass of a set A in DempsterShafer theory we need to use the follow... View the full answer
Related Book For
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish
Posted Date:
Students also viewed these computer network questions
-
2) A 920 N worker is climbing up a 4.6 m long ladder that weighs 85 N. The ladder is on an angle of 58% to the ground and the worker is 2.0 m from the bottom. If the ladder has no vertical friction...
-
A painting process consists of two stages. In the first stage, the paint is applied, and in the second stage, a protective coat is added. Let X be the time spent on the first stage, and let Y be the...
-
There are 20 students competing to be on the Math Team. Thirteen of them specialize in algebra, 4 of them specialize in geometry, and 3 of them specialize in calculus. Only 5 spots on the team are...
-
8 D D D D P P P P P P P P P P P 10 Functions What is defusion. What is osnosis What is Tornicity The power house of the cell functions of the plasma? What is facilitated defusion? do they need ATP?...
-
The following schedule provides information with which to draw both an aggregate demand curve and an aggregate supply curve. Both curves are assumed to be straight lines. Average Price )Dollar per...
-
Blindfold Technologies Inc. (BTI) is considering whether to introduce a new line of hand scanners that can be used to copy material and then download it into a computer. These scanners are expected...
-
Total quality management (TQM) is based on four tenets of (1) continuous improvement, (2) employee participation, (3) product/service improvement, and (4) supplier relationships. Review each of the...
-
Hardwood Seating Co., a manufacturer of chairs, had the following data for 2012. Sales ............ 2,400 units Sales price ......... $40 per unit Variable costs ....... $14 per unit Fixed costs...
-
BB Inc is evaluating a project and needs your help. Suppose that BB expects the project's cash flow from operations to be $ 8 0 , 0 0 0 for 6 years. The project will also require additional capital...
-
Arthur, CPA, is auditing The Home Improvement Store as of December 31, 2021. As with all audit engagements, Arthur's initial procedures are to analyze the entity's financial data by reviewing trends...
-
1. Blaming a less powerful group for something they had nothing to do with would be an example of, A.stereotyping B.scapegoating C.labeling D.self-fulfilling prophecy 2. A term that refers to fear of...
-
In 2023, Susan (44 years old) is a highly successful architect and is covered by an employee-sponsored plan. Her husband, Dan (47 years old), however, is a Ph.D. student and unemployed. Compute the...
-
P & B Energy Systems Limited (P & B), a wholly owned Zambian company proposes to construct two solar photovoltaic power plants in Lusaka and Serenje Districts (one plant in each district) to address...
-
Pharoah Company is planning to produce 2,100 units of product in 2027. Each unit requires 1.6 pounds of materials at $6.4 per pound and a half-hour of labor at $16 per hour. The overhead rate is 60%...
-
Base Electronics buys 5,000 common shares of Blue Mission Corp. for $10 per share on January 2 of the current year. Base owns 34% of Blue Mission voting shares, has significant influence in decision...
-
"I know headquarters wants us to add that new product line," said Dell Havas, manager of Billings Company's Office Products Division. "But I want to see the numbers before I make a decision. Our...
-
1. Explain how the process the team followed might align with DMAIC, the Deming Cycle, and the creative problem-solving process 2. Explain how the process the team followed might align with DMAIC,...
-
A regular deposit of $100 is made at the beginning of each year for 20 years. Simple interest is calculated at i% per year for the 20 years. At the end of the 20-year period, the total interest in...
-
Let X1, . . . , Xn be i.i.d. with the Poisson distribution having mean . Let Y = a. Suppose that we wish to test the hypotheses H0 : 1 versus H1 : < 1. Show that the test reject H0 if Y = 0 is...
-
A box contains 24 light bulbs, of which four are defective. If a person selects four bulbs from the box at random, without replacement, what is the probability that all four bulbs will be defective?
-
Suppose that X1, . . . , Xn form a random sample from a distribution for which the p.d.f. is f(x|), the value of is unknown, and the prior p.d.f. of is (). Show that the posterior p.d.f. (|x) is...
-
Write a computing procedure to make draws from a univariate truncated normal density T N [ a , b ] [ , 2 ] using the inverse transform method given in Section 12.8.2. Here [ a , b ] are lower and...
-
Consider the standard binary logit regression model (see Section 14.3). (a) Write down the log-likelihood function. (b) Introduce a random intercept assumption in which the intercept is drawn from a...
-
Show that if N [ , 1 ] , and Gamma [ / 2 , / 2 ] , then the unconditional distribution of is a multivariate t -distribution with parameters ( , , ) .
Study smarter with the SolutionInn App