Example Let us consider a fuzzy system with two inputs x₁and x2 (antecedents) and a single output y (consequent).Inputs x and x₂ have three linguistic variables small, mediumand big with a triangular membership function. Output y hastwo linguistic variables small and big with a triangularmembership function as shown in Figure below. The rulebase consists of the following two rules:Rule 1: IF x is small AND xz is medium THEN y is bigRule 2: IF xis medium AND x2 is big THEN y is smallDemonstrate entire process of fuzzification, aggregation anddefuzzification in a fuzzy system and find the output whenthe inputs X₁ and x₂ equal 3.89 and 5.58, respectively.X1(a)x₁= 3.89smallAmedium91min[μ (x₁), M (x₂)]ANDANDbigX2Amedium Rule 1miniARU9Rule 2minX2=5.58Aggregation of Mig (y) and smallbigsmall(b)y(c)smallbig

The type-1 but also type-2 soft numbers: MFs are used to characterize all fuzzy sets. This double MF…

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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