VTU Online Courses

Fuzzy Sets, Logic and Systems & Applications

@VTU COE

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What you will learn

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The course is designed to give a solid grounding of fundamental concepts of fuzzy logic and its applications. The level of the course is chosen to be such that all students aspiring to be a part of computational intelligence directly or indirectly in near future should get these concepts.

Lecture 1:Introduction: Fuzzy Sets, Logic and Systems & Applications

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Lecture 2: Introduction - Real Life Applications of Fuzzy Systems

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Lecture 3: Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB - I

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Lecture 4: Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB - II

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Lecture 5: Membership Functions

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Lecture 6: Membership Functions-II

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Lecture 7: Nomenclatures used in Fuzzy Set Theory-I

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Lecture 8: Nomenclatures used in Fuzzy Set Theory-II

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Lecture 9: Nomenclatures used in Fuzzy Set Theory-III

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Lecture 10: Set Theoretic Operations on Fuzzy Sets-I

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Lecture 11: Set Theoretic Operations on Fuzzy Sets-II

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Lecture 12: Properties of Fuzzy Sets-I

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Lecture 13: Properties of Fuzzy Sets-II

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Lecture 14: Properties of Fuzzy Sets-III

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Lecture 15: Properties of Fuzzy Sets-IV

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Lecture 16: Properties of Fuzzy Sets-V

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Lecture 17: Distance between Fuzzy Sets-I

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Lecture 18: Distance between Fuzzy Sets-II

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Lecture 19: Distance between Fuzzy Sets-III

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Lecture 20: Arithmetic Operations on Fuzzy Numbers-I

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Lecture 21: Arithmetic Operations on Fuzzy Numbers-II

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Lecture 22: Arithmetic Operations on Fuzzy Numbers-III

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Lecture 23: Complement of Fuzzy Sets

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Lecture 24: T-norm Operators

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Lecture 25: S-norm Operators

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Lecture 26: Parameterized T-Norm Operators

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Lecture 27: Parameterized S-Norm Operators

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Lecture 28: Fuzzy Relation-I

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Lecture 29: Fuzzy Relation-II

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Lecture 30: Operations on Crisp and Fuzzy Relations

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Lecture 31: Projection of Fuzzy Relation Set

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Lecture 32: Cylindrical Extension of Fuzzy Set

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Lecture 33: Properties of Fuzzy Relation-I

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Lecture 34: Properties of Fuzzy Relation-II

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Lecture 35: Extension Principle

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Lecture 36: Composition of Fuzzy Relations

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Lecture 37: Properties of Composition of Fuzzy Relations

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Lecture 38: Fuzzy Tolerance and Equivalence Relations-I

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Lecture 39: Fuzzy Tolerance and Equivalence Relations-II

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Lecture 40: Fuzzy Tolerance and Equivalence Relations-III

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Lecture 41: Linguistic Hedges

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Lecture 42: Linguistic Hedges and Negation/ Complement and Connectives

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Lecture 43: Concentration and Dilation & Composite Linguistic Term and Some Examples

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Lecture 44: Dilation and Composite Linguistic Term and Some Examples

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Lecture 45: Some Examples on Composite Linguistic Terms

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Lecture 46: Contrast Intensification of Fuzzy Sets

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Lecture 47: Orthogonality of Fuzzy Sets

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Lecture 48: Fuzzy Rules and Fuzzy Reasoning-I

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Lecture 49: Fuzzy Rules and Fuzzy Reasoning-II

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Lecture 50: Fuzzy Inference System

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Mamdani Fuzzy Model-I

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Mamdani Fuzzy Model-II

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Mamdani Fuzzy Model-III

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Example on Mamdani Fuzzy Model for Single Antecedent with Three Rules

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Example on Mamdani Fuzzy Model for Two Antecedents with Four Rules

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Lecture 56: Larsen Fuzzy Model-I

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Lecture 57: Larsen Fuzzy Model-II

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Lecture 58: Larsen Fuzzy Model-III

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Lecture 59: Tsukamoto Fuzzy Model

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Lecture 60: TSK Fuzzy Model

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Meet Your Instructor

@VTU COE

Instructor

3.3 Rating

8558 Students

802 Courses

About Instructor

VTU is one of the largest Technological Universities in India with 24 years of Tradition of excellence in Engineering & Technical Education, Research and Innovations. It came into existence in the year 1998 to cater the needs of Indian industries for trained technical manpower with practical experience and sound theoretical knowledge.

Free

Course Duration

32 h 24 m 40 s
Course Level

Intermediate
Student Enrolled

17
Language

English

This Course Includes

32 h 24 m 40 s Video Lectures
2 Quizzes
0 Assignments
0 Downloadable Resources
Full Lifetime Access
Certificate of Completion

What you will learn

Week 1 - Introduction: Fuzzy Sets, Logic and Systems & Applications

Week 2: Nomenclature Terms and Set Theoretic Operations used in Fuzzy Sets

Week 3: Set Theoretic Operations and Fuzzy Set Properties

Week 4: Fuzzy Set Properties and Distance between Fuzzy Sets

Week 5: Arithmetic Operations on Fuzzy Numbers, Complement, T-norm and S-norm for Fuzzy Sets

Week 6: Parmeterized T-Norms, Parameterized S-Norms, Fuzzy Relation and its Operations

Week 7: Projection, Cylindrical Extension and Properties of Fuzzy Relation

Week 8 - Composition of Fuzzy Relations and Its Properties, Fuzzy Tolerance and Equivalence Relations

Week 9 - Linguistic Hedges, Negation/ Complement, Connectives, Concentration, Dilation, and Some Examples on Composite Linguistic Terms

Week 10 - Contrast Intensification of Fuzzy Sets, Orthogonality of Fuzzy Sets, Fuzzy Rules, Fuzzy Reasoning, and Fuzzy Inference System

Week 11 - Fuzzy Inference System: Mamdani Fuzzy Model and Examples

Week 12 - Fuzzy Inference System: Larsen Fuzzy Model, Tsukamoto Fuzzy Model, and TSK Fuzzy Model

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Meet Your Instructor

@VTU COE

About Instructor

Free

This Course Includes