Designing Fuzzy Sets With the Use of the Parametric Principle of Justifiable Granularity

被引:107
作者
Pedrycz, Witold [1 ,2 ,3 ]
Wang, Xianmin [4 ]
机构
[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2R3, Canada
[2] King Abdulaziz Univ, Fac Engn, Dept Elect & Comp Engn, Jeddah 21589, Saudi Arabia
[3] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland
[4] China Univ Geosci, Inst Geophys & Geomat, Hubei Subsurface Multiscale Imaging Key Lab, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词
Coverage of data; interval-valued fuzzy set; membership function determination; principle of justifiable granularity; specificity; type-2 fuzzy set; MEMBERSHIP FUNCTIONS; UNCERTAINTY; SYSTEM;
D O I
10.1109/TFUZZ.2015.2453393
中图分类号
TP18 [人工智能理论];
学科分类号
140502 [人工智能];
摘要
This study is concerned with a design of membership functions of fuzzy sets. The membership functions are formed in such a way that they are experimentally justifiable and exhibit a sound semantics. These two requirements are articulated through the principle of justifiable granularity. The parametric version of the principle is discussed in detail. We show linkages with type-2 fuzzy sets, which are constructed on a basis of type-1 fuzzy sets. Several experimental studies are reported, which illustrate a behavior of the introduced method.
引用
收藏
页码:489 / 496
页数:8
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