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Applying fuzzy set theory to the evaluation of concert halls

 

作者: Shuo‐xian Wu,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1990)
卷期: Volume 88, issue S1  

页码: 184-184

 

ISSN:0001-4966

 

年代: 1990

 

DOI:10.1121/1.2028824

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

The technique from fuzzy set theory was used in combining the values of several parameters to determine the overall evaluation of concert halls. The factor set was tentatively defined as F = {RT (or EDT), LE, [EDT′(f)],Vmax(10 log LE)}, where LE is lateral efficiency, EDT′(f)} = 1/3 [EDT (2000‐Hz octave) − EDT (250‐Hz octave)], andVmax(10 log LE) denotes the maximum difference among 10 log LE values in a hall [V. L. Jordan, Apppl. Acoust.14, 253–266 (1981)]. The evaluation set was defined as E = {excellent, good, acceptable, no good} and the test set was defined as T = {measurement under full condition, measurement under empty condition}. Weight assignation for the factor set and test set was made asWF= (Wf,,Wf,,Wf,,Wf,) = (0.4, 0.3, 0.15, 0.15) andWT= (Wt,Wt) = (0.6, 0.4). The membership function values matrixR, in which the entryrijrepresents the impact ofith factor uponjth evaluation rank, was constructed. Last, the overall evaluation vectorS, in which the value ofith element denotes the possibility with which the hall would be evaluated toith rank, was calculated byS = WF⋅R. As examples, ten halls quoted in Jordan's paper were evaluated by using this method.

 

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