Triangular fuzzy decision-theoretic rough sets

被引：197

作者：

Liang, Decui ^{[1
,2
]}

Liu, Dun ^{[1
]}

Pedrycz, Witold ^{[2
,3
]}

Hu, Pei ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Econ & Management, Chengdu 610031, Sichuan, Peoples R China

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

[3] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

来源：

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2013年 / 54卷 / 08期

基金：

美国国家科学基金会; 中国博士后科学基金; 高等学校博士学科点专项科研基金;

关键词：

Triangular fuzzy number; Linguistic variable; Loss function; Multiple attribute group decision making; Decision-theoretic rough sets; ATTRIBUTE REDUCTION; RISK ANALYSIS; REVISED METHOD; RANKING; MEMBERSHIP; NUMBERS; INFORMATION; MODEL; WEB;

D O I：

10.1016/j.ijar.2013.03.014

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Based on decision-theoretic rough sets (DTRS), we augment the existing model by introducing into the granular values. More specifically, we generalize a concept of the precise value of loss function to triangular fuzzy decision-theoretic rough sets (TFDTRS). Firstly, ranking the expected loss with triangular fuzzy number is analyzed. In light of Bayesian decision procedure, we calculate three thresholds and derive decision rules. The relationship between the values of the thresholds and the risk attitude index of decision maker presented in the ranking function is analyzed. With the aid of multiple attribute group decision making, we design an algorithm to determine the values of losses used in TFDTRS. It is achieved with the use of particle swarm optimization. Our study provides a solution in the aspect of determining the value of loss function of DTRS and extends its range of applications. Finally, an example is presented to elaborate on the performance of the TFDTRS model. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1087 / 1106

页数：20

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