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- 저자정보
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- 한국지능시스템학회 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol.8 No.3
- 발행연도
- 2008.9
- 수록면
- 170 - 174 (5page)
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The measurement of performance of a process considering both the location and the dispersion of information about the process is referred to as the process capacity indices (PCIs) of interest, C<SUB>pk</SUB>. This information is presented by the mean and standard deviation of the producing process. Linguistic variables are used to express the evaluation of the quality of a product. Consequently, C<SUB>pk</SUB> is defined with fuzzy numbers. Lee [Eur. J. Oper. Res. 129(2001) 683-688] constructed the definition of the C<SUB>pk</SUB> index estimation presented by fuzzy numbers and approximated its membership function using the "min"-norm based Zadeh's extension principle of fuzzy sets. However, Lee's result was shown to be invalid by Hong [Eur. J. Oper. Res. 158(2004) 529-532]. It is well known that T<SUB>w</SUB> (the weakest t-norm)-based addition and multiplication preserve the shape of L-R fuzzy numbers. In this paper, we allow that the fuzzy numbers are of L-R type. The object of the present study is to propose a new method to calculate the C<SUB>pk</SUB> index under T<SUB>w</SUB>-based fuzzy arithmetic operations.
목차
Abstract
1. Introduction
2. Tw-based algebraic operation of fuzzy numbers
3. The membership function for standard deviation of a fuzzy number
4. Membership function for the fuzzy index Cpk
5. Conclusions
References
참고문헌 (19)
참고문헌 신청
Alsup,R.M.Watson , 1993 , Practical statistical Process Control , Van Nostrand Reinhold
Dubois,H. , 1978 , Prade,Operations on fuzzy numbers , In-ternational Journal of Systems Science 9 : 613 ~ 626
Dubois,H.Prade , 1980 , Fuzzy Sets and Systems:Theory and Applications , Academic Press
Dubois,H.Prade , 1981 , Addition of interactive fuzzy num-bers , IEEE Transactions on Automatic Control 26 : 926 ~ 926
H.Hong , 1997 , Fuzzy system reliability anal-ysis by the use of(theweakest-norm)on fuzzy number arithmetic operations , Fuzzy Sets and Sys-tems 90 : 307 ~ 316
Dubois,H. , 1978 , Prade,Operations on fuzzy numbers , In-ternational Journal of Systems Science 9 : 613 ~ 626
Dubois,H.Prade , 1980 , Fuzzy Sets and Systems:Theory and Applications , Academic Press
Dubois,H.Prade , 1981 , Addition of interactive fuzzy num-bers , IEEE Transactions on Automatic Control 26 : 926 ~ 926
H.Hong , 1997 , Fuzzy system reliability anal-ysis by the use of(theweakest-norm)on fuzzy number arithmetic operations , Fuzzy Sets and Sys-tems 90 : 307 ~ 316
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