A First Course in Fuzzy Logic, Third Edition
A First Course in Fuzzy Logic, Third Edition continues to provide the ideal introduction to the theory and applications of fuzzy logic. This best-selling text provides a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications.
New in the Third Edition:
With its comprehensive updates, this new edition presents all the background necessary for students and professionals to begin using fuzzy logic in its many-and rapidly growing- applications in computer science, mathematics, statistics, and engineering.
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antiautomorphism Archimedean t-norm Aut(I automorphism averaging operator belief function binary operation Boolean algebra Choquet integral comonotonic complete lattice conditional convex Corollary deﬁned Deﬁnition defuzzification denote density distribution elements equation equivalence classes equivalence relation example Exercise f and g finite formulas function f fuzzy concepts fuzzy control fuzzy logic fuzzy measure fuzzy numbers fuzzy partition fuzzy quantities fuzzy relation fuzzy subset implies inﬁnite order interval inverse isomorphism Kleene algebra Lemma Let f Map(J,I mapping mathematical maxitive measurable space membership function metric space monotone of order Morgan algebra Morgan systems morphisms N(R+ nilpotent t-norm one-to-one partially ordered set possibility measures probability measures probability space Proof properties propositional calculus random set random variable real numbers respect rough sets rules satisﬁes satisfying set function Show Stone algebra strict t-norm subalgebra subgroup Suppose t-conorm Theorem theory truth values type-2 fuzzy sets Verify