Example Let us consider a fuzzy system with two inputs x₁ and x2 (antecedents) and a single output y (consequent). Inputs x and x₂ have three linguistic variables small, medium and big with a triangular membership function. Output y has two linguistic variables small and big with a triangular membership function as shown in Figure below. The rule base consists of the following two rules: Rule 1: IF x is small AND x.is medium THEN y is big Rule 2: IF x is medium AND x.is big THEN y is small Demonstrate entire process of fuzzification, aggregation and defuzzification in a fuzzy system and find the output when the inputs x₁and x₂ equal 3.89 and 5.58, respectively. XI small Amedium Amedium Rule 1 min Rule 2 min Aggregation of Mig (v) and small (v) x= 3.89 AND AND big 1 minu (x₁)(x₂)] xy=5.58 big small y (c) small big 7
Example Let us consider a fuzzy system with two inputs x₁ and x2 (antecedents) and a single output y (consequent). Inputs x and x₂ have three linguistic variables small, medium and big with a triangular membership function. Output y has two linguistic variables small and big with a triangular membership function as shown in Figure below. The rule base consists of the following two rules: Rule 1: IF x is small AND x.is medium THEN y is big Rule 2: IF x is medium AND x.is big THEN y is small Demonstrate entire process of fuzzification, aggregation and defuzzification in a fuzzy system and find the output when the inputs x₁and x₂ equal 3.89 and 5.58, respectively. XI small Amedium Amedium Rule 1 min Rule 2 min Aggregation of Mig (v) and small (v) x= 3.89 AND AND big 1 minu (x₁)(x₂)] xy=5.58 big small y (c) small big 7
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
Problem 1PE
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