# Application of fuzzy system theory in addressing the presence of uncertainties

A. Y.N. Yusmye, B. Y. Goh, N. F. Adnan, Ahmad Kamal Ariffin Mohd Ihsan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

### Abstract

In this paper, the combinations of fuzzy system theory with the finite element methods are present and discuss to deal with the uncertainties. The present of uncertainties is needed to avoid for prevent the failure of the material in engineering. There are three types of uncertainties, which are stochastic, epistemic and error uncertainties. In this paper, the epistemic uncertainties have been considered. For the epistemic uncertainty, it exists as a result of incomplete information and lack of knowledge or data. Fuzzy system theory is a non-probabilistic method, and this method is most appropriate to interpret the uncertainty compared to statistical approach when the deal with the lack of data. Fuzzy system theory contains a number of processes started from converting the crisp input to fuzzy input through fuzzification process and followed by the main process known as mapping process. The term mapping here means that the logical relationship between two or more entities. In this study, the fuzzy inputs are numerically integrated based on extension principle method. In the final stage, the defuzzification process is implemented. Defuzzification is an important process to allow the conversion of the fuzzy output to crisp outputs. Several illustrative examples are given and from the simulation, the result showed that propose the method produces more conservative results comparing with the conventional finite element method.

Original language English 2nd ISM International Statistical Conference 2014, ISM 2014 Empowering the Applications of Statistical and Mathematical Sciences Nor Aida Zuraimi Md Noar, Roslinazairimah Zakaria, Wan Nur Syahidah Wan Yusoff, Mohd Sham Mohamad, Mohd Rashid Ab Hamid American Institute of Physics Inc. 720-725 6 9780735412811 https://doi.org/10.1063/1.4907518 Published - 1 Jan 2015 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014 - Kuantan, Pahang, MalaysiaDuration: 12 Aug 2014 → 14 Aug 2014

### Publication series

Name AIP Conference Proceedings 1643 0094-243X 1551-7616

### Other

Other 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014 Malaysia Kuantan, Pahang 12/8/14 → 14/8/14

### Fingerprint

fuzzy systems
uncertainty
finite element method
output
engineering
methodology
method
systems theory
simulation

### Keywords

• epistemic uncertainties and non-probabilistic method
• finite element method
• Fuzzy system theory

### ASJC Scopus subject areas

• Ecology, Evolution, Behavior and Systematics
• Ecology
• Plant Science
• Physics and Astronomy(all)
• Nature and Landscape Conservation

### Cite this

Yusmye, A. Y. N., Goh, B. Y., Adnan, N. F., & Mohd Ihsan, A. K. A. (2015). Application of fuzzy system theory in addressing the presence of uncertainties. In N. A. Z. M. Noar, R. Zakaria, W. N. S. W. Yusoff, M. S. Mohamad, & M. R. A. Hamid (Eds.), 2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences (pp. 720-725). (AIP Conference Proceedings; Vol. 1643). American Institute of Physics Inc.. https://doi.org/10.1063/1.4907518

Application of fuzzy system theory in addressing the presence of uncertainties. / Yusmye, A. Y.N.; Goh, B. Y.; Adnan, N. F.; Mohd Ihsan, Ahmad Kamal Ariffin.

2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences. ed. / Nor Aida Zuraimi Md Noar; Roslinazairimah Zakaria; Wan Nur Syahidah Wan Yusoff; Mohd Sham Mohamad; Mohd Rashid Ab Hamid. American Institute of Physics Inc., 2015. p. 720-725 (AIP Conference Proceedings; Vol. 1643).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yusmye, AYN, Goh, BY, Adnan, NF & Mohd Ihsan, AKA 2015, Application of fuzzy system theory in addressing the presence of uncertainties. in NAZM Noar, R Zakaria, WNSW Yusoff, MS Mohamad & MRA Hamid (eds), 2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences. AIP Conference Proceedings, vol. 1643, American Institute of Physics Inc., pp. 720-725, 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014, Kuantan, Pahang, Malaysia, 12/8/14. https://doi.org/10.1063/1.4907518
Yusmye AYN, Goh BY, Adnan NF, Mohd Ihsan AKA. Application of fuzzy system theory in addressing the presence of uncertainties. In Noar NAZM, Zakaria R, Yusoff WNSW, Mohamad MS, Hamid MRA, editors, 2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences. American Institute of Physics Inc. 2015. p. 720-725. (AIP Conference Proceedings). https://doi.org/10.1063/1.4907518
Yusmye, A. Y.N. ; Goh, B. Y. ; Adnan, N. F. ; Mohd Ihsan, Ahmad Kamal Ariffin. / Application of fuzzy system theory in addressing the presence of uncertainties. 2nd ISM International Statistical Conference 2014, ISM 2014: Empowering the Applications of Statistical and Mathematical Sciences. editor / Nor Aida Zuraimi Md Noar ; Roslinazairimah Zakaria ; Wan Nur Syahidah Wan Yusoff ; Mohd Sham Mohamad ; Mohd Rashid Ab Hamid. American Institute of Physics Inc., 2015. pp. 720-725 (AIP Conference Proceedings).
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