Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.1 - Propositional Logic - Exercises - Page 16: 47

Answer

The truth value of the statement “Fred is happy, or John is happy” is 0.8 The truth value of the statement “Fred is not happy, or John is not happy?” is 0.6

Work Step by Step

The truth value of the disjunction is the maximum of the truth values. In the first sentence they are 0.8 and 0.4, so their maximum is 0.8 In the second one they are 1 - 0.8 and 1 - 0.4, that is 0.2 and 0.6. So their maximum is 0.6
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