University MSc Math 4th Sem Syllabus Details: Hello Dear Students you all want to take Admission in PG Course with MSc Mathematics in any University present in Bihar must Download and Check this MSc Mathematics 4th Semester Syllabus in PDF format and then will take Admission.
MSc Mathematics 4th Semester (CC-XI) Syllabus:
Unit 1: Fuzzy Sets Versus Crisp sets, Basic definitions, types, properties and
representations of Fuzzy sets, Convex Fuzzy sets, Basics operation on Fuzzy set. a- Cuts,
Decompositions theorem, Complements, t- norm and t-conorms. Extension principles
and Simple applications of Puzzy sets.
Unit 2: Fuzzy logics — An overview of classical logic, Multivalued logies, Fuzzy
propositions, fuzzy quantifiers, Linguistic variable and hedges, inference from conditional
fuzzy propositions the compositional rule of inference.
Unit 3: Approximate Reasoning — An overview of fuzzy expert system, Fuzzy
implication and their selection Multiconditional approximate reasoning the role of fuzzy
relation equation.
Unit 4: An introduction to Fuzzy control — Fuzzy controllers, Fuzzy rule base Fuzzy
inference engine Fuzzification. Defuzzification and the various defuzzification method
( The centre of maxima and the mean of maxima methods).
Unit 5: Decision making in Fuzzy Environment — Individual decision making,
Multiperson decision making, Multicriteria decision making, Multistage decision making,
Fuzzy ranking methods, Fuzzy linear programming.
Unit 6: Mise Application specially in social science, Biological Science and engineering
, reliability theory and mathematical statistics.
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University MSc Mathematics 4th Semester Syllabus:
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Yes, This University MSc Mathematics 4th Semester Syllabus is based on CBCS pattern.