On characterizations of (I, T)-fuzzy rough approximation operators
Publication in refereed journal

香港中文大學研究人員

引用次數
替代計量分析
.

其它資訊
摘要in rough set theory, the lower and upper approximation operators defined by a fixed binary relation satisfy many interesting properties. Various fuzzy generalizations of rough approximations have been made in the literature. This paper proposes a general framework for the study of (J, T) -fuzzy rough approximation operators within which both constructive and axiomatic approaches are used. In the constructive approach, a pair of lower and upper generalized fuzzy rough approximation operators, determined by an implicator J and a triangular norm T, is first defined. Basic properties of (J, T) -fuzzy rough approximation operators are investigated. The connections between fuzzy relations and fuzzy rough approximation operators are further established. In the axiomatic approach, an operator-oriented characterization of rough sets is proposed, that is, (J, T)-fuzzy approximation operators are defined by axioms. Different axiom sets of T-upper and J-lower fuzzy set-theoretic operators guarantee the existence of different types of fuzzy relations which produce the same operators. Finally, an open problem proposed by Radzikowska and Kerre in (Fuzzy Sets and Systems 126 (2002) 137) is solved. (c) 2005 Elsevier B.V. All rights reserved.
著者Wu WZ, Leung Y, Mi JS
期刊名稱Fuzzy Sets and Systems
出版年份2005
月份8
日期16
卷號154
期次1
出版社ELSEVIER SCIENCE BV
頁次76 - 102
國際標準期刊號0165-0114
電子國際標準期刊號1872-6801
語言英式英語
關鍵詞approximation operators; binary relations; fuzzy logical connectives; fuzzy rough sets; fuzzy sets; rough sets
Web of Science 學科類別Computer Science; Computer Science, Theory & Methods; COMPUTER SCIENCE, THEORY & METHODS; Mathematics; Mathematics, Applied; MATHEMATICS, APPLIED; Statistics & Probability; STATISTICS & PROBABILITY

上次更新時間 2020-18-10 於 01:03