书目名称 | Non-Classical Logics and their Applications to Fuzzy Subsets |
副标题 | A Handbook of the Ma |
编辑 | Ulrich Höhle,Erich Peter Klement |
视频video | http://file.papertrans.cn/667/666864/666864.mp4 |
丛书名称 | Theory and Decision Library B |
图书封面 |  |
描述 | .Non-Classical Logics and their Applications to FuzzySubsets. is the first major work devoted to a careful study ofvarious relations between non-classical logics and fuzzy sets. Thisvolume is indispensable for all those who are interested in a deeperunderstanding of the mathematical foundations of fuzzy set theory,particularly in intuitionistic logic, Lukasiewicz logic,monoidal logic, fuzzy logic and topos-like categories. The tutorialnature of the longer chapters, the comprehensive bibliography andindex make it suitable as a valuable and important reference forgraduate students as well as research workers in the field ofnon-classical logics. .The book is arranged in three parts: Part A presents the most recentdevelopments in the theory of Heyting algebras, MV-algebras, quantalesand GL-monoids. Part B gives a coherent and current account oftopos-like categories for fuzzy set theory based on Heyting algebravalued sets, quantal sets of M-valued sets. Part C addresses generalaspects of non-classical logics including epistemological problems aswell as recursive properties of fuzzy logic. . |
出版日期 | Book 1995 |
关键词 | Heyting algebra; algebra; logic; proof; set theory; ultraproduct |
版次 | 1 |
doi | https://doi.org/10.1007/978-94-011-0215-5 |
isbn_softcover | 978-94-010-4096-9 |
isbn_ebook | 978-94-011-0215-5 |
copyright | Springer Science+Business Media Dordrecht 1995 |