There is an imprecise relationship between the ambient temperature for clay masonry bricks and their compressive...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
There is an imprecise relationship between the ambient temperature for clay masonry bricks and their compressive strengths, Let X be a fuzzy set of fracture strengths (in units of pounds per square inch) and Y be a fuzzy set of temperatures (in degrees Fahrenheit) with the following membership functions: 1.0 0.8 0.6 + + + 1500 2175 7000 0.4 0.5 1.0 + + + + X = Y = {20 Z 0.5 12 750 1₁ + 0.6 0.3 25 32 50 90 105 (a) Find the Cartesian product represented by the relation R=XxY. Now, suppose we have a second fuzzy set of masonry strengths given as 0.4 0.5 + 1500 2175 0.6 0.8 + 7000 12750 0.3 16 500 (b) Find S=Z... R... using max-min composition. (c) Find S=Z₁R... using max-product composition. 0.1 20000 0.9 16 500 1.0 20 000 There is an imprecise relationship between the ambient temperature for clay masonry bricks and their compressive strengths, Let X be a fuzzy set of fracture strengths (in units of pounds per square inch) and Y be a fuzzy set of temperatures (in degrees Fahrenheit) with the following membership functions: 1.0 0.8 0.6 + + + 1500 2175 7000 0.4 0.5 1.0 + + + + X = Y = {20 Z 0.5 12 750 1₁ + 0.6 0.3 25 32 50 90 105 (a) Find the Cartesian product represented by the relation R=XxY. Now, suppose we have a second fuzzy set of masonry strengths given as 0.4 0.5 + 1500 2175 0.6 0.8 + 7000 12750 0.3 16 500 (b) Find S=Z... R... using max-min composition. (c) Find S=Z₁R... using max-product composition. 0.1 20000 0.9 16 500 1.0 20 000
Expert Answer:
Answer rating: 100% (QA)
This question is asking for operations on fuzzy sets Fuzzy sets are a way of representing uncertainty and can be manipulated using various operations ... View the full answer
Related Book For
Business Statistics Communicating With Numbers
ISBN: 9780078020551
2nd Edition
Authors: Sanjiv Jaggia, Alison Kelly
Posted Date:
Students also viewed these finance questions
-
In the field of computer networking there is an imprecise relationship between the level of use of a network communication bandwidth and the latency experienced in peer-to-peer communication. Let X~...
-
A gaseous hydrocarbon (containing C and H atoms) in a container of volume 20.2 L at 350 K and 6.63 atm reacts with an excess of oxygen to form 205.1 g of CO2 and 168.0 g of H2 O. What is the...
-
A crime scene investigator discovers a femur belonging to an adult human female. The bone is 18inches long. Estimate the height of the female. Use the following information. The relationship between...
-
Match each situation with the fraud triangle factoropportunity, financial pressure, or rationalizationthat best describes it. 1. An employees monthly credit card payments are nearly 75% of his or her...
-
The toroid in Figure P29.52 has 200 rectangular windings, and the toroid radii are \(R_{\text {in }}=160 \mathrm{~mm}\) and \(R_{\text {out }}=\) \(240 \mathrm{~mm}\). The height of each winding is...
-
(a) A random sample of size 144 is taken from the local population of grade- school children. Each child estimates the number of hours per week spent watching TV. At this point, what can be said...
-
6. An annular disk of mass M, inner radius a and outer radius b is placed on a horizontal surface with coefficient of friction , as shown in the figure. At some time, an impulse Jox is applied at a...
-
Palisade Creek Co. is a merchandising business that uses the perpetual inventory system. The account balances for Palisade Creek as of May 1, 2018 (unless otherwise indicated), are as follows: During...
-
Describe and justify the most effective type of leader within a criminal justice organization. Explain how a leader of that type may be developed within the organization.
-
Chevron ( CVX ) is expected to be $ 1 0 7 , and the expected dividend at the end of next year is $ 0 . 8 1 . If the company s required rate of return on equity is 1 2 % , calculate the value of CVX...
-
Tyler Industries operates a mineral deposit with an estimated 1,500,000 tons of available ore. The mineral deposit was purchased for $1,500,000, and no salvage value is expected. A total of 200,000...
-
The third important part of a wave is its Wavelength, which is also measured in centimeters. What is the definition of wavelength?
-
1. Give answers for the followings questions: i. The Time Series Method, which is used for forecasts in supply chains, is based on the assumption that: a. Demand is strongly related to particular...
-
Roger Johnson purchased a 50,000 ordinary life policy and an ADB for 50% of the value of the policy. In addition, he purchased a 5-year, 50,000 term policy. He died in an accident 3 years later. a....
-
Near the end of 2020, X Company had produced and sold 60,700 units of its only product. Costs for these units were: Total Per-Unit Direct materials $109,260 $1.80 Direct labor 103,190 1.70 Variable...
-
Calculate the number of neutrons of 239Pu.
-
A real estate analyst estimates the following regression, relating a house price to its square footage (Sqft): In an attempt to improve the results, he adds two more explanatory variables: the number...
-
The returns for a pharmaceutical firm are 10% in Year 1, 5% in Year 2, and -15% in Year 3. What is the annualized return for the period?
-
Consider the following observations for a series: Year 1......Year 2.........Year 3..........Year 4 90...................110.............150...............160 a. Calculate the growth rates for Year...
-
Who was Phar-Mors flamboyant Chief Executive Officer?
-
Which of the following generally is not considered something of value? 1. Cash, money or checks 2. Airline miles or hotel credits associated with frequent activity (e.g., frequent flier miles) 3. An...
-
Which of the following is not one of the five major categories of fraudulent disbursements? 1. Payroll schemes 2. Expense reimbursement schemes 3. Shell company schemes 4. Billing schemes
Study smarter with the SolutionInn App