2. Determine all a-level sets and all strong a-level sets for the following fuzzy sets: а. А%3D (3, 1), (4, .2), (5, .3), (6, 4), (7, .6), (8, 8), (10, 1), (12, .8), (14, .6)} b. B = {(x, Há(x) = (1 + (x – 10))'} for a = .3, .5, .8 c. C {(x, Hclx))|x e R} where uelx) = 0 for x S 10 Hc (x) = (1 + (x - 10)) for x> 10

2. Determine all a-level sets and all strong a-level sets for the following fuzzy sets: а. А%3D (3, 1), (4, .2), (5, .3), (6, 4), (7, .6), (8, 8), (10, 1), (12, .8), (14, .6)} b. B = {(x, Há(x) = (1 + (x – 10))'} for a = .3, .5, .8 c. C {(x, Hclx))|x e R} where uelx) = 0 for x S 10 Hc (x) = (1 + (x - 10)) for x> 10

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Determine whether each of the following sets is unifiable. If yes, obtain a most general unifier. w…

A: so here we have to find the given set are unifiable or not

Q: Your training set is made up of the following 2-dimensional points: A: 0), (1,3), (3,0), (0,-2),…

Q: Write Algorithm for Membership Testing A group G operating on the function f = 1, 2,..., n; a…

A: Algorithm: Algorithm for Membership Testing: Initialize a Boolean variable "result" to false.…

Q: s A ⊆ B if A = {8, 10, 12, 14} and B = {8, 10, 12, 16, 20}?

A: Here, The elements of set A are { 8, 10, 12, 14 } And the elements of set B are { 8, 10, 12, 16, 20…

Q: e } and Q = { a,q,r,s,e }, how

A: Given If P = { a,b,c,d,e } and Q = { a,q,r,s,e }, how many members has (P U Q) ?

Q: Artem is building another robot. He has a network a comprising of n lines and m sections. The cell…

A: Here have to determine about the Engineer Artem programming problem statement.

Q: Q.20 Determine all a-level sets and strong a-level sets for the following fuzzy set A = {(1, 0.2),…

Q: a group G acting on f~ = { 1,2 ..... n }; a permutation g of f~ = { 1,2 ..... n }; a base and strong…

A: given data: implement Algorithm for Testing MembershipInput : a group G acting on f~ = { 1,2 .....…

Q: A = {0, 1, 2, 3, 4} B = {2, 3, 4, 5} Given the sets A and B, how many constants maps are there…

A: Given:- A = {0, 1, 2, 3, 4} B = {2, 3, 4, 5}

Q: Find the sets A and B if A – B = {1, 4, 7, 11}, B – A ={2, 20}, and 4 N B= {3, 5 ,19}

A: here is your answer

Q: make Membership Testing Algorithm Input: a group G operating on f = 1,2,.....n; a permutation g of f…

A: Please refer to the following step for the complete solution to the problem above.

Q: De Morgan’s laws also apply to sets. De Morgan’s laws (A U B)’ = A’ ∩ B’ (A ∩ B)’ = A’ U…

A: Given equation to prove:A – (A – B) = A ∩ BGiven De Morgan’s laws(A U B)’ = A’ ∩ B’(A ∩ B)’ = A’ U…

Q: Algorithm : Testing Membership Input : a group G acting on f~ = { 1,2 ..... n }; a permutation g of…

A: Algorithm : Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g of…

Q: Given two fuzzy set A and B A = {(x1,0.5), (x2,0.1), (x3,0.4)} B = {(x1,0.2), (x2,0.3), (x3,0.5)}…

A: In the given question A = {(x1, 0.5), (x2, 0.1), (x1, 0.4)}B = {(x1, 0.2), (x2, 0.3), (x1, 0.5)}…

Q: . Let Q, R and S be sets. Show that (R – Q) ∪ (S – Q) = (R ∪ S) – Q.

A: Given: Let Q, R and S be sets. Show that (R – Q) ∪ (S – Q) = (R ∪ S) – Q.

Q: Question 10. Let A, B and C be sets. Show that (AC) n (C - B) = Ø

A: Note: Answering the question in python as no programing language is mentioned. Task : The input set…

Q: 2. Determine all a-level sets and all strong a-level sets for the following fuzzy sets: а. А%3D (3,…

Q: Algorithm for Testing Membership Input : a group G acting on f~ = { 1,2 ..... n }; a permutation g…

A: given data: Input : a group G acting on f~ = { 1,2 ..... n };a permutation g of f~ = { 1,2 ..... n…

Q: What is the truth table for (~B) -> (~A)

A: The implication operator in discrete mathematics is equivalent to the “if A, then B” and have the…

Q: .et U={1,2,3,4,5,6,7,8,9,10} , A={ 2,3,4,7} B=( 1,4,8,9} , C={8,2,4).Find the elements of each sets.…

A: Ans.) a.) (A ∩ B) - (C -B) = {4} b.) ((C ∩ A) - (B -A) ) ∩ C ={2,4}

Q: Write an implementation for the following methods in class Square:

A: const functions can't be modified with object

Q: Cross Validation is the standard method for evaluation in empirical machine learning. It can also be…

A: Basically Cross-validation is a technique for evaluating a machine learning model and testing its…

Q: Design and explain a generic m-round winner tournament, Round-Winner-Tournament(P,m), for players P,…

A: We have to design and explain a generic m-round winner tournament, Round-Winner-Tournament(P,m), for…

Question

2.
Determine all a-level sets and all strong a-level sets for the following fuzzy
sets:
а. А%3D (3, 1), (4, .2), (5, .3), (6, 4), (7, .6), (8, 8), (10, 1), (12, .8), (14,
.6)}
b. B = {(x, Há(x) = (1 + (x – 10))-"}
for a = .3, .5, .8
c. C {(x, Hclx))|x e R}
where ulx) = 0 for x < 10
Hi (x) = (1 + (x - 10)) for x> 10

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Problem 6- Find the fuzzy distance between the two fuzzy sets : A={(1,0.6), (2, 1), (3, 0.4)} and B={(2,0.3), (3, 0.4), (4, 1)} according to the table below ( d(A,B) ). de d(A, B) a e A be B Hafa) Ha(b) Min Max, u(6), d(A. B)
Algorithm : Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g of f~ = { 1,2 ..... n };a base and strong ~enerating set for G;Schreier vectors v (i) , 1 < i < k, for the stabiliser chain;Output: a boolean value answer, indicating whether g ~ G;
Algorithm for Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g of f~ = { 1,2 ..... n };a base and strong ~enerating set for G;Schreier vectors v (i) , 1 < i < k, for the stabiliser chain;Output: a boolean value answer, indicating whether g ~ G;function is_in_group(p : permutation; i : 1..k+l ) : boolean;(* return true if the permutation p is in the group G (i) *)
Question 10. Let A, B and C be sets. Show that (A − C) n (C − B) = Ø
Design and explain a generic m-round winner tournament, Round-Winner-Tournament(P,m), for players P, in which the participants are matched randomly in each round 0, 1,...,m 1, and the winners advance to the next round. Following round m 1, the champion is chosen at random from among the remaining participants. This tournament structure, interestingly, contains the following special cases: m = 0 is a random selection tournament, m = 1 is a random pairing tournament, and m = lg |P| is a single elimination seeding tournament.
implement Algorithm for Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g of f~ = { 1,2 ..... n };a base and strong ~enerating set for G;Schreier vectors v (i) , 1 < i < k, for the stabiliser chain;Output: a boolean value answer, indicating whether g ~ G;function is_in_group(p : permutation; i : 1..k+l ) : boolean;(* return true if the permutation p is in the group G (i) *)
Given two fuzzy set A and B A {(x1,0.5), (х2, 0. 1), (хз, 0.4)} B = {(x1,0.2), (x2,0.3), (x3,0.5)} What will be A U B ? Select one: a. None O b. A U B = {(x1,0.5), (x2,0.3), (x3,0.5) %3D O c. A U B = {(x1,0.2), (x2,0.3), (x3,0.5)| %3D d. A U B = {(x1,0.5), (x2,0.1), (x3, 0.4)| %3D
make Membership Testing AlgorithmInput: a group G operating on f = 1,2,.....n; a permutation g of f = 1,2,.....n; a base and strong enerating set for G; Schreier vectors v I 1 I k, for the stabiliser chainOutput: a boolean result showing if g G is in the group; function is in group(p: permutation; I 1..k+l): boolean; (* return true if the permutation p is in the group G I *)
Write Algorithm for Membership TestingA group G operating on the function f = 1, 2,..., n; a permutation of f = 1, 2,....., n; a base and strong energising set for G; and Schreier vectors v I 1 I k, for the stabilising chain; are the inputs.The function is in group(p: permutation; I 1..k+l): boolean; (* return true if the permutation p is in the group G I outputs a boolean value indicating if g G.
Algorithm for Testing MembershipInput : a group G acting on [2 = { 1,2 ..... n };a permutation g of ~2 = { 1,2 ..... n };a base and strong generating set forG;sets U (i) ,1 < i < k of coset representatives for stabiliser chain;Output : a boolean value answer, indicating whether g E G;
Create and explain a generic m-round winner tournament for players P called Round-Winner-Tournament(P,m), where participants are matched at random in rounds 0, 1,..., m 1 and the winners advance to the next round. The winner is chosen at random from the remaining participants after round m 1. It's interesting to note that this tournament structure contains the following special cases: the random selection tournament (m = 0), the random pairing tournament (m = 1), and the single elimination seeding tournament (m = lg |P|).
Find the greatest lower bound and the least upper bound of the sets {3, 9, 12} and {I, 2, 4, 5, IO}, if they exist, in the poset (Z+, I).