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Books > Science & Mathematics > Mathematics > Algebra
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Non-Classical Logics and their Applications to Fuzzy Subsets - A Handbook of the Mathematical Foundations of Fuzzy Set Theory (Paperback, Softcover reprint of the original 1st ed. 1995)
Loot Price: R1,339
Discovery Miles 13 390
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Non-Classical Logics and their Applications to Fuzzy Subsets - A Handbook of the Mathematical Foundations of Fuzzy Set Theory (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Theory and Decision Library B, 32
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Non-Classical Logics and their Applications to Fuzzy Subsets is the
first major work devoted to a careful study of various relations
between non-classical logics and fuzzy sets. This volume is
indispensable for all those who are interested in a deeper
understanding of the mathematical foundations of fuzzy set theory,
particularly in intuitionistic logic, Lukasiewicz logic, monoidal
logic, fuzzy logic and topos-like categories. The tutorial nature
of the longer chapters, the comprehensive bibliography and index
make it suitable as a valuable and important reference for graduate
students as well as research workers in the field of non-classical
logics. The book is arranged in three parts: Part A presents the
most recent developments in the theory of Heyting algebras,
MV-algebras, quantales and GL-monoids. Part B gives a coherent and
current account of topos-like categories for fuzzy set theory based
on Heyting algebra valued sets, quantal sets of M-valued sets. Part
C addresses general aspects of non-classical logics including
epistemological problems as well as recursive properties of fuzzy
logic.
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