6) For the given fuzzy sets, prove the associcativity and distributivity property10.65 0.4 0.35+1.50.25+1.50.25+1.5-(1.02.00.62.5 ' 3.0)0.251+3.0)(1.02.02.5S0.5Č =(1.00.25, 0.5)+3.0)2.02.5- Ā (B U Č) = (Ã U B) U Č- Ãn (B UC) = (ÃN B)U (ÃN Ĉ)7) Given the fuzzy set Ã = {++0.10.8+0 defined in the universe of discourse X =4{1,2,3,4,5}. Prove why law of excluded middle and law of contradiction does not holdgood for fuzzy set.

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Answered: For the given fuzzy sets, prove the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For the given fuzzy sets, prove the associcativity and distributivity property 0.65 0.4 0.35 Ã + (1.0 3.0) 2.5 0.25 + 2.5 0.25 + 2.5 1.5 2.0 0.25 0.6 + (1.0 + 1.5 2.0 - 3.0) 0.5) 3.05 - Ā (B U Č) = (Ã U B) U Č - Ãn (B U C) = (Ā O B)U (Ãn Ĉ) (0.5 0.25 + 1.5 (1.0 2.0