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Let R be the relation that specifies the relationship between the 'color of a fruit' and 'grade of maturity'. Relation S specifies the

Let R be the relation that specifies the relationship between the 'color of a fruit' and 'grade of maturity'. Relation S specifies the

Advanced Engineering Mathematics
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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Q.12 Let R be the relation that specifies the relationship between the 'color of a fruit' and 'grade of maturity'. Relation S specifies the relationship between 'grade of maturity' and 'taste of a fruit', where color, grade and taste of a fruit are characterized by crisp sets x, y, z respectively as follows. X = (green, yellow, red) Y = {verdant, half mature, mature} Z = {sour, tasteless, sweet} Consider following relations R and S and find the relationship between 'color and taste' of a fruit using 1. Max - min composition 2. Max-product composition R Verdant Half Mature S Sour Tasteless Sweet mature Green 1 Yellow 0.3 Red 0 0.5 0 1 0.4 0.2 1 Verdant 1 Half 0.7 mature Mature 0 0.2 1 0.7 0 0.3 1
Transcribed Image Text:Q.12 Let R be the relation that specifies the relationship between the 'color of a fruit' and 'grade of maturity'. Relation S specifies the relationship between 'grade of maturity' and 'taste of a fruit', where color, grade and taste of a fruit are characterized by crisp sets x, y, z respectively as follows. X = (green, yellow, red) Y = {verdant, half mature, mature} Z = {sour, tasteless, sweet} Consider following relations R and S and find the relationship between 'color and taste' of a fruit using 1. Max - min composition 2. Max-product composition R Verdant Half Mature S Sour Tasteless Sweet mature Green 1 Yellow 0.3 Red 0 0.5 0 1 0.4 0.2 1 Verdant 1 Half 0.7 mature Mature 0 0.2 1 0.7 0 0.3 1
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