We wish to investigate a new type of relation which we will call Vahidean. A relation...
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We wish to investigate a new type of relation which we will call Vahidean. A relation R on the set A is Vahidean if: Va, b, c EA aRbaRc bRc a) Explain, in English, how Transitivity and Vahideanness are different. Give an example of a Vahidean relation on {a, b, c, d} which is not transitive (draw its digraph representation). Give a counterexample that shows your relation is not transitive. b) Is the following an implication of Vahideanness? Va, b, c E A aRbaRc cRb Explain why or why not. c) Prove that if a relation R is Reflexive and Vahidean then R is an equivalence relation. We wish to investigate a new type of relation which we will call Vahidean. A relation R on the set A is Vahidean if: Va, b, c EA aRbaRc bRc a) Explain, in English, how Transitivity and Vahideanness are different. Give an example of a Vahidean relation on {a, b, c, d} which is not transitive (draw its digraph representation). Give a counterexample that shows your relation is not transitive. b) Is the following an implication of Vahideanness? Va, b, c E A aRbaRc cRb Explain why or why not. c) Prove that if a relation R is Reflexive and Vahidean then R is an equivalence relation.
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a Transitivity and Vahideanness are different concepts in relation theory Transitivity means that if ... View the full answer
Related Book For
Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
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