Construction of Fuzzy Control Chart with Multinomial Quality using Process Capability
R.Dilipkumar1, C.Nanthakumar2
1C.Nanthakumar, Associate Professor & Head,Statistics at Salem Sowdeswari College, Tamilnadu, India.
2R. Dilipkumar, Associate Professor of Statistics at Salem Sowdeswari College, Tamilnadu, India.
Manuscript received on September 22, 2019. | Revised Manuscript received on October 20, 2019. | Manuscript published on October 30, 2019. | PP: 1460-1465 | Volume-9 Issue-1, October 2019 | Retrieval Number: A1259109119/2019©BEIESP | DOI: 10.35940/ijeat.A1259.109119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Control charts are the effective and quietest form of statistical process control methods. Many of the times, data are obtained in quantitative form; however there are many quality characteristics that cannot be expressed in numerical measure, such as characteristics for appearance, smoothness and colour, etc. Fuzzy sets theory is an impressive mathematical methodology to evaluate the vagueness related uncertainty that can linguistically express data in these situations. In this paper, we construct a fuzzy control limits under fixed and varying sample size with various quality levels for observing a manufacturing process based on the multinomial distribution using degrees of membership and process capability.
Keywords: Fuzzy set, Linguistic variable, Membership function, Multinomial distribution and Process capability