Question: Fuzzy sets A and B are defined in X = [, ], by the membership functions as follows: Determine the membership functions of A

Fuzzy sets A and B are defined in X = [−∞, ∞], by the membership functions as follows:

2x if 0 x 5 H(x)= 15-x if 5 < x 10

Determine the membership functions of A ∩ B, A ∩ B, AB, and A + B fuzzy sets.

2x if 0 x 5 H(x)= 15-x if 5 < x 10 0 otherwise. 9-x if 1x5 HB(x)=. 4 if 5 x 15 x-11 if 5 x 20 0 otherwise.

Step by Step Solution

★★★★★

3.34 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Systems Analysis And Design 12th Questions!

Q:

Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...

Q:

Describe overall change control and its importance to the project team. What is the purpose of a project charter? Why can a project charter serve as an agreement or a contract? Why should the project...

Q:

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Q:

The following questions refer to fuzzy systems. (a) Explain precisely and fully the process of fuzzification and defuzzification in a fuzzy system. (b) Suppose you are given two fuzzy sets A and B...

Q:

Please answer within 10hrs and I'll give u thumbs up. First pic is the question and the other pic is previous question and answer for your reference. thank you. Q4. From the previous questions, we...

Q:

The fuzzy sets A~ and B~ are all defined on the universe X = [ 0 , 5 ] with the following membership functions:

Q:

7. Let sets: A = {a, b, c } and B = {x, y, z)and/(a)- Find a) The domain of f b) The codomain of f c) The image of a and b d) The preimages of x and z For a-c, determine whether function/: A-+ B is a...

Q:

summarize this journal, the length of summary should not be more than 2 pages Journal of Banking & Finance 37 (2013) 578-586 Contents lists available at SciVerse ScienceDirect Journal of Banking &...

Q:

Question 15 (2 points) Fuzzy sets are used in artificial intelligence. Each element in the universal set U has a degree of membership, which is a real number between 0 and 1 (including 0 and 1), in a...

Q:

Explain briefly the following concepts. [A]. From the behaviors of an intelligent system, list all differences between Mamdani- type and Sugeno-type fuzzy inferences? [B]. Construct an ANFIS that is...

Q:

How has the U.S. economy been doing in recent years? Why do you think that is? Gather relevant economic statistics, such as the growth rate of real GDP, the unemployment rate, and the inflation rate,...

Q:

True or false: Two norms on a vector space have the same unit sphere if and only if they are the same norm.

Q:

Holding all else equal, an increase in corporate income tax rates makes debt _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ attractive for firms. Question 2 options: less more

Q:

=1. Develop a schedule for hiring new employees. What is the total cost of this schedule?

Q:

Match each of the key terms with the definition that best fits it. ____________ The second phase of the project management process, which focuses on defining clear, discrete activities and the work...

Q:

Match each of the key terms with the definition that best fits it. ____________ A systems analyst with a diverse set of skillsmanagement, leadership, technical, conflict management, and customer...

Q:

Match each of the key terms with the definition that best fits it. ____________ A scheduling technique in which the order and duration of a sequence of activities directly affect the completion date...

Q:

Would a traditional income statement differ depending on whether the business is a service organization, a merchandiser, or a manufacturer?

Q:

QUESTION 35 The option price is also referred to as the strike spread premium fee none of the above

Q:

Joes Snow Plowing Company has the following transactions for the year: December 1 Issued 10,000 shares of capital stock for $100,000 to start a snow plowing business. December 1 - Paid a one year...