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# The truth value of the negation of a proposition in fuzzy

ISBN: 9780073383095 37

## Solution for problem 45E Chapter 1.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 45E

The truth value of the negation of a proposition in fuzzy logic is 1 minus the truth value of the proposition. What are the truth values of the statements “Fred is not happy” and “John is not happy?”

Step-by-Step Solution:
Step 1 of 3

Solution:Step1Given thatWe have to find what are the truth values of the statements “Fred is not happy” and “John is not happy”If The truth value for the negation of a proposition in fuzzy logic is 1 minus the truth value of the proposition.Step2The truth value for the statement “Fred is happy” =0.8The truth value for the statement “John is happy” =0.4Therefore,The truth value for the statement “Fred is not happy” = 1-0.8 = 0.2AndThe truth value for the statement “John is not happy” =1-0.4 =0.6Therefore, the truth values of the statements “Fred is not happy” is 0.2 and “John is not happy” is 0.6.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073383095

This full solution covers the following key subjects: truth, Happy, proposition, minus, logic. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 45E from chapter: 1.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 45E from 1.1 chapter was answered, more than 341 students have viewed the full step-by-step answer. The answer to “The truth value of the negation of a proposition in fuzzy logic is 1 minus the truth value of the proposition. What are the truth values of the statements “Fred is not happy” and “John is not happy?”” is broken down into a number of easy to follow steps, and 38 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095.

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The truth value of the negation of a proposition in fuzzy