Set Theory Online Course

Free Online Course Phelp Certificate Available 12 weeks long 26th Jul, 2021 20th Jul, 2020 2nine Jul, 2019

You watching: Set theory online course

*

*

See more: Online Automation Course S, 5 Best Automation Testing Courses & Tutorials

*

The primary purpose of this course is to present students to the vital areas of fuzzy collection concept and also fuzzy logic. No previous knowledge is required about fuzzy set theory or fuzzy logic. But familiarity with timeless set concept, and two-valued logic will certainly be useful. In the majority of real-life applications of any decision making one demands to challenge many kind of types on uncertainty. While as humans we can attend to this uncertainty via our thinking prowess it is not clear just how to attend to this uncertainty in a mechanism. Fuzzy sets and fuzzy logic offers us one method of representing this uncertainty and also reasoning through them. This course is aimed at giving a strong background for the subject. This course will certainly be useful as an elective course for senior undergraduates, and also understand level students. Weekly assignments will be provided and also their options will certainly be offered in the complying with week to aid students to resolve the troubles.INTENDED AUDIENCE: M.Sc Mathematics, M.Sc Computer SciencePREREQUISITES: Nil
Week 1: Introduction to Fuzzy sets , Crisp vs Fuzzy Types of Fuzzy sets, Membership functions , Alpha cuts Contd alpha cutsWeek 2: Operation on fuzzy sets, t-norm, complements t-conorm, combicountry of operartions continuedWeek 3: Summary to Fuzzy arithmetic Interval arithmeticWeek 4: +,-,,* utilizing alpha cuts MIN and MAX fuzzy numbersWeek 5: Fuzzy arithmetic utilizing Alpha cuts ongoing Decomposition principleWeek 6: Exanxiety principle Fuzzy arithmetic making use of Exstress Principle Fuzzy EquationsWeek 7: Relations, Overview to fuzzy relations Projections, Equivalence relation, transitive clocertain, compatibility relationWeek 8: Summary to propositional Logic, Boolean Algebra Multi valued logicWeek 9: Fuzzy Logic, Linguistic hedges, Fuzzy propositions (conditional and also unconditional)Week 10: Inference from conditional and also qualified fuzzy propositionsWeek 11: Fuzzy Quantifiers, Inference from quantified fuzzy propositionsWeek 12: Summary to possibility concept Possibility vs probcapability Belief and also Plausibility, Dempsters ascendancy