MONITORING FUZZY CAPABILITY INDEX C~PK BY USING THE EWMA CONTROL CHART WITH IMPRECISE DATA

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SADEGHPOUR GILDEH BAHRAM; ANGOSHTARI TALA

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2013 | Volume:10 | Issue:2 (SPECIAL ISSUE: STATISTICAL ANALYSIS IN FUZZY ENVIRONMENT) Page(s): 111-132

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Information Journal Paper

Title

MONITORING FUZZY CAPABILITY INDEX C~PK BY USING THE EWMA CONTROL CHART WITH IMPRECISE DATA

Author(s)

SADEGHPOUR GILDEH BAHRAM | ANGOSHTARI TALA | Issue Writer Certificate

Keywords

CAPABILITY INDEX

D P

Q-DISTANCE

FUZZY SET

MEMBERSHIP FUNCTION

EWMA CONTROL CHART

Abstract

A manufacturing process cannot be released to production until it has been proven to be stable. Also, we cannot begin to talk about process capability until we have demonstrated stability in our process. This means that the process variation is the result of random causes only and all assignable or special causes have been removed. In complicated manufacturing processes, such as drilling process, the natural instability of the process impedes the use of any control charts for the mean and standard deviation. However, a complicated manufacturing process can be capable in spite of this natural instability. In this paper we discuss thee C~pk process CAPABILITY INDEX. We find the MEMBERSHIP FUNCTION of C~pk based on fuzzy data. Also, by using the definition of classical control charts and the method of Vannman and Castagliola, we propose new control charts that are constructed by the a-cut sets of C~pk for the natural instable manufacturing processes with fuzzy normal distributions. The results are concluded for a =0.6, that is chosen arbitrarily.

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APA: Copy

SADEGHPOUR GILDEH, BAHRAM, & ANGOSHTARI, TALA. (2013). MONITORING FUZZY CAPABILITY INDEX C^~_PK BY USING THE EWMA CONTROL CHART WITH IMPRECISE DATA. IRANIAN JOURNAL OF FUZZY SYSTEMS, 10(2 (SPECIAL ISSUE: STATISTICAL ANALYSIS IN FUZZY ENVIRONMENT)), 111-132. SID. https://sid.ir/paper/604907/en

Vancouver: Copy

SADEGHPOUR GILDEH BAHRAM, ANGOSHTARI TALA. MONITORING FUZZY CAPABILITY INDEX C^~_PK BY USING THE EWMA CONTROL CHART WITH IMPRECISE DATA. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2013;10(2 (SPECIAL ISSUE: STATISTICAL ANALYSIS IN FUZZY ENVIRONMENT)):111-132. Available from: https://sid.ir/paper/604907/en

IEEE: Copy

BAHRAM SADEGHPOUR GILDEH, and TALA ANGOSHTARI, “MONITORING FUZZY CAPABILITY INDEX C^~_PK BY USING THE EWMA CONTROL CHART WITH IMPRECISE DATA,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 10, no. 2 (SPECIAL ISSUE: STATISTICAL ANALYSIS IN FUZZY ENVIRONMENT), pp. 111–132, 2013, [Online]. Available: https://sid.ir/paper/604907/en

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