An overview of fuzzy quantifiers. (I). Interpretations

doi:10.1016/S0165-0114(97)00254-6

CORC > 北京大学 > 信息科学技术学院

	An overview of fuzzy quantifiers. (I). Interpretations
	Liu, YX ; Kerre, EE
刊名	fuzzy sets and systems
	1998
关键词	fuzzy logic cardinality of fuzzy sets fuzzy quantifier many-valued logic possibility distribution numerical quantifier OWA operator SETS CARDINALITY AGGREGATION OPERATORS
DOI	10.1016/S0165-0114(97)00254-6
英文摘要	Quantification is an important topic in fuzzy theory and its applications. an overview is presented for quantification in fuzzy theory. After a brief review of quantifiers in first-order logic, two approaches of generalizing quantifiers are given, the algebraic method and the substitution method. By distinguishing the fuzziness of predicates and quantifiers, various approaches to quantification in fuzzy logic can be organized. Quantifiers in first-order logic can be generalized in crisp sense, and these generalized quantifiers can also be applied to fuzzy sets. Moreover, quantifiers themselves can be fuzzy, i.e., they can only be represented by a fuzzy set. These different kinds of quantifications are identified. Quantifiers relate close to the concept of the cardinality of a fuzzy set, which is summarized before investigating fuzzy quantifications. Different to classical logic, various semantics of propositions in fuzzy logic fall into different frameworks which are known as the possibility distribution-based reasoning system and the many-valued fuzzy logics. Accordingly, numerical and possibilistic interpretation explored in literature are reviewed conforming to these two frameworks. (C) 1998 Published by Elsevier Science B.V.; Computer Science, Theory & Methods; Mathematics, Applied; Statistics & Probability; SCI(E); EI; 40; REVIEW; 1; 1-21; 95
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/257860]
专题	信息科学技术学院
推荐引用方式 GB/T 7714	Liu, YX,Kerre, EE. An overview of fuzzy quantifiers. (I). Interpretations[J]. fuzzy sets and systems,1998.
APA	Liu, YX,&Kerre, EE.(1998).An overview of fuzzy quantifiers. (I). Interpretations.fuzzy sets and systems.
MLA	Liu, YX,et al."An overview of fuzzy quantifiers. (I). Interpretations".fuzzy sets and systems (1998).