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题名/责任者:
Algebraic Foundations of Many-Valued Reasoning / by Roberto L. O. Cignoli, Itala M. L. D
出版发行项:
Dordrecht : Springer Netherlands : Imprint: Springer, 2000.
ISBN:
9789401594806
ISBN:
9789401594806
ISBN:
9789048153367
其它标准号:
10.1007/978-94-015-9480-6
载体形态项:
IX, 233 p. online resource. 24cm.
丛编说明:
Trends in Logic, Studia Logica Library, 1572-6126 ; 7
个人责任者:
Cignoli, Roberto L. O., author.
附加个人名称:
Mundici, Daniele, author.
附加个人名称:
D
论题主题:
Artificial Intelligence (incl. Robotics)
论题主题:
Logic
论题主题:
Philosophy
论题主题:
Philosophy.
论题主题:
Logic.
论题主题:
Computational complexity.
论题主题:
Artificial intelligence
论题主题:
Algebra
论题主题:
Logic, Symbolic and mathematical.
论题主题:
Order, Lattices, Ordered Algebraic Structures.
论题主题:
Mathematical Logic and Foundations.
论题主题:
Discrete Mathematics in Computer Science.
中图法分类号:
O235
摘要附注:
This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to adaptive error-correcting binary search. The book is suitable for self-study, making the basic tools of many-valued logic accessible to students and scientists with a basic mathematical knowledge who are interested in the mathematical treatment of uncertain information. Stressing the interplay between algebra and logic, the book contains material never before published, such as a simple proof of the completeness theorem and of the equivalence between Chang's MV algebras and Abelian lattice-ordered groups with unit - a necessary prerequisite for the incorporation of a genuine addition operation into fuzzy logic. Readers interested in fuzzy control are provided with a rich deductive system in which one can define fuzzy partitions, just as Boolean partitions can be defined and computed in classical logic. Detailed bibliographic remarks at the end of each chapter and an extensive bibliography lead the reader on to further specialised topics.
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