Write a program that implements the fuzzy controller of Section 9.2.2. Data from section 9.2.2 There are
Question:
Write a program that implements the fuzzy controller of Section 9.2.2.
Data from section 9.2.2
Transcribed Image Text:
There are two assumptions that are essential for the use of formal set theory. The first is with respect to set membership: for any element and a set belonging to some universe, the element is either a member of the set or else it is a member of the complement of that set. The second assumption, referred to as the law of excluded middle, states that an element cannot belong to both a set and also to its complement. Both these assumptions are violated in Lotfi Zadeh's fuzzy set theory. In fact, the sets and reasoning laws of traditional set theory are referred to as crisp, from the fuzzy set viewpoint. Zadeh's main contention (Zadeh 1983) is that, although probability theory is appropriate for measuring randomness of information, it is inappropriate for measuring the meaning of information. Indeed, much of the confusion surrounding the use of English words and phrases is related to lack of clarity (vagueness) rather than randomness. This is a crucial point for analyzing language structures and can also be important in creating a measure of confidence in production rules. Zadeh proposes possibility theory as a measure of vagueness, just as probability theory measures randomness. Zadeh's theory expresses lack of precision in a quantitative fashion by introducing a set membership function that can take on real values between 0 and 1. This notion of a fuzzy set can be described as follows: let S be a set and s a member of that set. A fuzzy subset F of S is defined by a membership function mF(s) that measures the "degree" to which s belongs to F. A standard example of a fuzzy set, as presented in Figure 9.6, is for S to be the set of positive integers and F to be the fuzzy subset of S called small integers. Now various integer values can have a "possibility" distribution defining their "fuzzy membership" in the set of small integers: mF (1) = 1.0, mF (2) = 1.0, mF (3) = 0.9, mF(4) = 0.8, ..., mF (50) = 0.001, etc. For the statement that positive integer X is a small integer, mF creates a possibility distribution across all the positive integers (S). Fuzzy set theory is not concerned with how these possibility distributions are created,
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
Answered By
Susan Juma
I'm available and reachable 24/7. I have high experience in helping students with their assignments, proposals, and dissertations. Most importantly, I'm a professional accountant and I can handle all kinds of accounting and finance problems.
4.40+
15+ Reviews
45+ Question Solved
Related Book For
Artificial Intelligence Structures And Strategies For Complex Problem Solving
ISBN: 9780321545893
6th Edition
Authors: George Luger
Question Posted:
Students also viewed these Computer science questions
-
Determine the Prior Year and Current Year trend percents for net sales using the Prior Year as the base year. Note: Enter the answers in thousands of dollars. Current Year: Prior Year: Trend Percent...
-
Your clients are expressing interest in forming a partnership to sell rare books through bookstores across the county. They are not aware of the complexities concerning partnership tax. Chose two to...
-
Write a multithreaded program that implements the banker's algorithm discussed in Section 7.5.3. Create n threads that request and release resources from the bank. The banker will grant the request...
-
Some economists argue that Inflation numbers calculated by CPI are not accurate especially during the pandemic. Explain why do they believe inflation numbers are not that accurate during pandemic?
-
How close to the edge of the 20.0-kg table shown in Fig. 9-47 can a 66.0-kg person sit without tipping it over? 2.20 m 0.80 m 1.20 m 0.50 m
-
Find any of the values of a 1 , d, a n , n, or S n that are missing for an arithmetic sequence. 2,1.5,1, . . . , 28+
-
Better Health Inc. is a health care provider which has clinics across the U.S. Indicate whether each of the following examples of benchmarking for Better Health is considered (1) internal...
-
Mass Transit System. The City of Dixon operates a mass transit system (DTS) consisting of a network of bus and trolley routes. The following information is provided about the operations and financing...
-
You are evaluating a project for The Ultimate recreational tennis racket, guaranteed to correct that wimpy backha sales price of The Ultimate to be $ 3 2 0 per unit and sales volume to be 1 , 0 0 0...
-
Use the schema axioms presented in McCarthy (1980, Section 4) to create the circumscription results presented in Section 9.1.3. Data from section 9.1.3 In the previous sections, we extended logic by...
-
Consider the tic-tac-toe example of Section 10.7.2. Implement the temporal difference learning algorithm in the language of your choice. If you designed the algorithm to take into account problem...
-
In performing an audit in accordance with Generally Accepted Government Auditing Standards, the auditors are required to issue an additional combined report on compliance with laws and regulations...
-
A simple pendulum is found to vibrate at frequency of 0.6 Hz in a vacuum and 0.45 Hz in a viscous fluid. Answer questions 5-6. 5. What is the cord length? A. 0.994 m. C. 0.388 m E. 0.212 m 6. What is...
-
As part of a school science fair, students from various school districts must be transported to the various locations. School districts are as follows (with the number of attendees listed by...
-
How can we design a product or service that utilizes the concept of time dilation to increase productivity and efficiency for individuals or organizations?
-
Franklin Company sells lamps and other lighting fixtures. The purchasing department manager prepared the following inventory purchases budget. Franklin's policy is to maintain an ending inventory...
-
Consider the following functions which both take as arguments three n-element arrays A, B, and C: COMPARE-1(A, B, C) For i = 1 to n For j = 1 to n If A[i] + Ci]B[j] Return FALSE Return TRUE...
-
The following list includes activities that are performed in a clothing store. Classify each activity as value added or non-value-added. For each non-value-added activity, state whether it can be...
-
A heat engine has a heat input of 3 Ã 104 Btu/h and a thermal efficiency of 40 percent. Calculate the power it will produce, in hp. Source 3 x 10 Btu/h 40% HE Sink
-
What is the phase shift for the following? a. A sine wave with the maximum amplitude at time zero b. A sine wave with maximum amplitude after 1/4 cycle c. A sine wave with zero amplitude after 3/4...
-
How can a composite signal be decomposed into its individual frequencies?
-
Given the following periods, calculate the corresponding frequencies. a. 5 s b. 12 s c. 220 ns
-
Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been asked to do the analysis. Both projects' after-tax cash flows are shown on the time line below....
-
A company feels it's soda pop filling machine is not working properly. It is supposed to fill each cup with 12 fluid ounces of soda. They think it is not putting the correct amount of soda in the...
-
Suppose 90-day investments in Britain have a 7% annualized return and a 1.75% quarterly (90-day) return. In the U.S., 90-day investments of similar risk have a 4% annualized return and a 1% quarterly...
Study smarter with the SolutionInn App