Introduction to Fuzzy Set Theory Arithmetic and Logic
Gain logical reasoning, and arithmetic skills and knowledge with Introduction to Fuzzy Set Theory, Arithmetic and Logic certification by NPTEL.
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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The Introduction to Fuzzy Set Theory, Arithmetic and Logic certification course is a 12-week duration programme and is elective. The intended audience for this course is M.Sc Mathematics, and M.Sc Computer Science or senior Undergraduates, and Master's degree students. The course provides an introduction to the areas of Fuzzy set theory and Fuzzy logic.
The certification course covers a comprehensive curriculum that includes Fuzzy sets, Crisp vs Fuzzy Types of Fuzzy sets, alpha cuts, Fuzzy arithmetic interval arithmetic and membership functions. The Introduction to Fuzzy Set Theory, Arithmetic and Logic certification by NPTEL offers strong subject knowledge and helps students by providing weekly assignments with their solutions.
The Highlights
- 12 Weeks Duration
- Completion Certification
- Undergraduate Level Course
Programme Offerings
- Books
- Transcripts
- videos
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | IIT Delhi |
Eligibility Criteria
Academic Qualifications
To join the Introduction to Fuzzy Set Theory, Arithmetic and Logic online course, there is no specific requirement. However, familiarity with Classical set theory and Two-valued logic will be beneficial for the students to understand the subject better.
Certification Qualifying Details
To receive a certificate after completing the Introduction to Fuzzy Set Theory, Arithmetic and Logic online course, the students must pass both the assignments and written examination with a minimum passing score.
What you will learn
The students will gain in-depth knowledge of introduction to Fuzzy sets, operation on fuzzy sets, t-norm, complements t-conorm, and a combination of operations. After completing the Introduction to Fuzzy Set Theory, Arithmetic and Logic certification syllabus, they will gain the necessary skills and will be able to make use of these theories in real-life applications.
Upon the completion of the Introduction to Fuzzy Set Theory, Arithmetic and Logic Processes training, the students will gain an extensive understanding of Fuzzy arithmetic using Alpha cuts continued Decomposition principle, and +,-,,* using alpha cuts MIN and MAX fuzzy numbers. With the support of the expert faculty, students gain hands-on experience.
Who it is for
This certification course is designed for senior undergraduates, and master's degree students to enhance their skills and knowledge. This certification course is also beneficial for:
Admission Details
To join the Introduction to Fuzzy Set Theory, Arithmetic and Logic classes, follow the steps mentioned below:
Step 1: Browse the link mentioned below:
https://nptel.ac.in/courses/111102130
Step 2: Log in with a Google account or create a new one and log in.
Step 3: Fill out the form with the required information, submit it and start the course.
The Syllabus
- Introduction to Fuzzy sets
- Crisp vs Fuzzy Types of Fuzzy sets
- Membership functions
- Alpha cuts Contd alpha cuts
- Operation on fuzzy sets, t-norm, complements t-conorm
- A combination of operations continued
- Introduction to Fuzzy arithmetic Interval arithmetic
- +,-,,* using alpha cuts MIN and MAX fuzzy numbers
- Fuzzy arithmetic using Alpha cuts continued the Decomposition principle
- Extension principle Fuzzy arithmetic using Extension Principle Fuzzy Equations
- Relations, Introduction to fuzzy relations Projections
- Equivalence relation
- Transitive closure
- Compatibility relation
- Introduction to propositional Logic, Boolean Algebra Multi-valued logic
- Fuzzy Logic, Linguistic hedges, Fuzzy propositions (conditional and unconditional)
- Inference from conditional and qualified fuzzy propositions
- Fuzzy Quantifiers
- Inference from quantified fuzzy propositions
- Introduction to possibility theory Possibility vs probability Belief and Plausibility
- Dempster rule
Evaluation process
Students score minimum marks of 25% in assignments and 75% in the written exam, with a total of 100 marks.
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