Towards fuzzy linguistic Markov chains

被引：0

作者：

Villacorta, Pablo J. ^{[1
]}

Verdegay, Jose L. ^{[1
]}

Pelta, David A. ^{[1
]}

机构：

[1] Univ Granada, Models Decis & Optimizat MODO Res Grp, Dept Comp Sci, E-18071 Granada, Spain

来源：

PROCEEDINGS OF THE 8TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-13) | 2013年 / 32卷

关键词：

Fuzzy probabilities; linguistic probabilities; linguistic labels; Markov chain; stationary distribution;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this contribution we deal with the problem of doing computations with a Markov chain when the information about transition probabilities is expressed linguistically. This could be the case, for instance, if the process we are modeling is described by a human expert, for whom the use of linguistic labels is easier than being forced to give inexact numerical probabilities which, in turn, may yield an unstable chain. We address the uncertainty of linguistic judgments by introducing fuzzy probabilities, and carry on the calculation of the linguistic stationary distribution of the chain by resorting to an existing fuzzy approach with restricted matrix multiplication. Preliminary results are very promising and deserve further research.

引用

页码：707 / 713

页数：7

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