Fuzzy Logic and Algebra: Course Outline (MAT619 )
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A First Course in Fuzzy Logic byCall Number: 511.3 NGUISBN: 9781584885269Publication Date: 20051006
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Course Outline
Introduction, The Concept of Fuzziness: Examples; Mathematical Modeling; Operations of fuzzy sets;Fuzziness as uncertainty, Algebra of Fuzzy Sets: Boolean Algebra and lattices; Equivalence relations and partitions; Composing mappings; Alphacuts; Images of alphalevel sets;Operations on fuzzy sets. Fuzzy Relations: Definition and examples; Binary Fuzzy relations Operations onFuzzy relations; fuzzy partitions. Fuzzy Semigroups: Fuzzy ideals of Semigroups; Fuzzy quasiideals; Fuzzy biideals of Semigroups; Characterization of different classes of Semigroups by the properties of their fuzzy ideals fuzzy quasiideals and fuzzy biideals. Fuzzy Rings: Fuzzy ideals of rings; Prime; semi prime fuzzy ideals;Characterization of rings using the properties of fuzzy ideals.
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by Belohlavek, Radim
Klir, George J.
ISBN 9780262298575
Date of publication 2011 
by Demicco, Robert V.
Klir, George J.
ISBN 9780080521893
Date of publication 2003 
by Alavala, Chennakesava R.