Granular mappings

被引：46

作者：

Bargiela, A ^{[1
]}

Pedrycz, W

机构：

[1] Nottingham Trent Univ, Sch Comp Math, Nottingham NG1 4BU, England

[2] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2G7, Canada

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS | 2005年 / 35卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

fuzzy clustering; fuzzy relational equations; granular computing; information granules; possibility and necessity measures; specificity of granular information;

D O I：

10.1109/TSMCA.2005.843381

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we are concerned with the granular representation of mappings (or experimental data) coming in the form R : R [0, 1] (for one-dimensional cases) and R : R-n --> [0, 1] (for multivariable cases) with R being a set of real numbers. As the name implies, a granular mapping is defined over information granules and maps them into a collection of granules expressed in some output space. The design of the granular mapping is discussed in the case of set and fuzzy set-based granulation. The proposed development is regarded as a two-phase process that comprises: 1) a definition of an interaction between information granules and experimental evidence or existing numeric mapping and 2) the use of these measures of interaction in building an explicit expression for the granular mapping. We show how to develop information granules in case of multidimensional numeric data by resorting to fuzzy clustering (fuzzy C-means). Experimental results serve as an illustration of the proposed approach.

引用

页码：292 / 297

页数：6

共 18 条

[11]

Pal S. K., 1999, ROUGH FUZZY HYBRIDIZ

[12] Granular clustering: A granular signature of data [J].

Pedrycz, W ;

Bargiela, A .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2002, 32 (02) :212-224

[13]

PEDRYCZ W, 1998, INTRO FUZZY SETS ANA

[14] FUZZY MIN MAX NEURAL NETWORKS .1. CLASSIFICATION [J].

SIMPSON, PK .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1992, 3 (05) :776-786

[15] Some reflections on soft computing, granular computing and their roles in the conception, design and utilization of information/intelligent systems [J].

L. A. Zadeh .

Soft Computing, 1998, 2 (1) :23-25

[16]

Zadeh L.A., 1999, COMPUTING WORDS INFO

[17]

Zadeh L. A., 1979, ADV FUZZY SET THEORY, V1, P3, DOI DOI 10.1142/9789814261302_0022

[18] Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic [J].

Zadeh, LA .

FUZZY SETS AND SYSTEMS, 1997, 90 (02) :111-127

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