5. Fuzzy Logics Consider the following three simple rules to represent fuzzy relationship between food quality and service in a restaurant as input variables and tip amount as output variables. 1) If the food is bad OR the service is poor, then the tip will be low 2) If the service is acceptable, then the tip will be medium 3) If the food is great OR the service is amazing, then the tip will be high. Given the membership functions illustrated in Figure 1 and 2 as follows. Food quality 1.0 Bad 0.8 Decent Great 0.6 0.4 0.2 0.0 4 6. 10 Service quality 1.0 Poor 0.8 Acceptable Amazing 0.6 0.4 0.2 0.0 8 10 Figure 1. Food Quality and Service Membership Functions Tip amount 1.0 Low 0.8 Medium 0.6 High 0.4 0.2 0.0 5 10 15 20 25 Figure 2. Tip Membership Functions Using the clipped center of gravity method, compute the tip amount based on the following circumstances: 1) Food quality was 6.0, and 2) Service was 8.0

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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PLEASE USE CLIPPED CENTER OF GRAVITY METHOD
5. Fuzzy Logics
Consider the following three simple rules to represent fuzzy relationship between food quality and
service in a restaurant as input variables and tip amount as output variables.
1) If the food is bad OR the service is poor, then the tip will be low
2) If the service is acceptable, then the tip will be medium
3) If the food is great OR the service is amazing, then the tip will be high.
Given the membership functions illustrated in Figure 1 and 2 as follows.
Food quality
1.0
Bad
0.8
Decent
Great
0.6
0.4
0.2
0.0
2
4
10
Service quality
1.0
Poor
0.8
Acceptable
Amazing
0.6
0.4
0.2
0.0
4.
6.
10
Figure 1. Food Quality and Service Membership Functions
Tip amount
1.0
Low
0.8
Medium
0.6
High
0.4
0.2
0.0
5
10
15
20
25
Figure 2. Tip Membership Functions
Using the clipped center of gravity method, compute the tip amount based on the following
circumstances:
1) Food quality was 6.0, and
2) Service was 8.0
Transcribed Image Text:5. Fuzzy Logics Consider the following three simple rules to represent fuzzy relationship between food quality and service in a restaurant as input variables and tip amount as output variables. 1) If the food is bad OR the service is poor, then the tip will be low 2) If the service is acceptable, then the tip will be medium 3) If the food is great OR the service is amazing, then the tip will be high. Given the membership functions illustrated in Figure 1 and 2 as follows. Food quality 1.0 Bad 0.8 Decent Great 0.6 0.4 0.2 0.0 2 4 10 Service quality 1.0 Poor 0.8 Acceptable Amazing 0.6 0.4 0.2 0.0 4. 6. 10 Figure 1. Food Quality and Service Membership Functions Tip amount 1.0 Low 0.8 Medium 0.6 High 0.4 0.2 0.0 5 10 15 20 25 Figure 2. Tip Membership Functions Using the clipped center of gravity method, compute the tip amount based on the following circumstances: 1) Food quality was 6.0, and 2) Service was 8.0
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