tut8 - Find the sigma count M ( A ), M ( B ) and M ( C )....

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EE4210 Tutorial 8 Fuzzy Sets and Operations Suppose that the characteristics of three mobile phone models are represented by three fuzzy sets A , B & C using four fuzzy variables x 1 = weight (1=very light), x 2 = resolution of built-in camera (1=very high), x 3 = screen size (1=very large), x 4 = power consumption (1=very low). x 1 x 2 x 3 x 4 A = (0.3, 0.9, 0.5, 0.6) B = (0.4, 0.8, 0.2, 0.7) C = (0.9, 0.5, 0.1, 0.9) 1. In general wordings, how would you describe these mobile phone models? 2.
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Unformatted text preview: Find the sigma count M ( A ), M ( B ) and M ( C ). 3. Find the fuzzy entropy E ( A ), E ( B ) and E ( C ). 4. Find the subsethood function S ( A , B ), S ( B,A ), S ( A , C ), S ( C,A ), S ( B , C ), and S ( C,B ). 5. Based on the values obtained in the previous two parts, what can be concluded about the fuzziness and the subsethood relationship between these three fuzzy sets? 6. Find (i) ( A ∩ B ) ∪ ( A ∩ C c ) (ii) ( ( A c ∩ B c ) ∪ C c ) c...
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This note was uploaded on 04/14/2011 for the course EE 4210 taught by Professor Wong during the Spring '10 term at City University of Hong Kong.

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