A New Fuzzy Process Capability Estimation Method Based on Kernel Function and FAHP

2016 ◽  
Vol 63 (2) ◽  
pp. 177-188 ◽  
Author(s):  
Zhiqiang Geng ◽  
Zun Wang ◽  
Chenglong Peng ◽  
Yongming Han
Keyword(s):  
Kernel Function ◽  
Estimation Method ◽  
Process Capability ◽  
Fuzzy Process ◽  
Fuzzy Process Capability

scholarly journals Measuring Loss-Based Process Capability IndexLeand Its GenerationLe′′with Fuzzy Numbers

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Mohammad Abdolshah
Keyword(s):  
Fuzzy Logic ◽  
Fuzzy Numbers ◽  
Process Capability ◽  
Process Capability Index ◽  
Process Capability Indices ◽  
Capability Index ◽  
Fuzzy Process ◽  
Capability Indices ◽  
Fuzzy Process Capability ◽  
The Membership Function

Loss-based process capability indices are appropriate and realistic tools in order to measure the process capability. Among them, indexLeand its generationLe′′are well-known loss-based process capability indices, whose concepts are based on the worth (the opposite concept of loss). Sometimes, in order to calculateLeandLe′′there are some uncertainties in observations, so fuzzy logic can be employed to manage the uncertainties. This paper investigates fuzzification of process capability indexL~eand its generationL~e′′. In order to find the membership function of process capability indicesL~eandL~e′′, theα-cuts of fuzzy observation were employed. Then with an example of fuzzy process capability index,L~eandL~e′′were calculated and compared. Results showed that fuzzyL~e′′was more sensitive compared withL~eand was increased while the target departs (asymmetric tolerance). This example also showed that, with departure from the target, variation of fuzzyL~e′′and consequently its fuzziness were increased.

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