Fuzzy Reliability Theory Based on Membership Function

Author:

Chaube Shshank1,Singh S. B.2

Affiliation:

1. Department of Engineering Mathematics Graphic Era Hill University, Bhimtal Campus, Bhawali, Nainital, Uttarakhand-263136, India

2. Department of Mathematics, Statics, and Computer Science G. B. Pant University of Agriculture and Technology, Pantnagar, U. S. Nagar, Uttarakhand-263145, India

Abstract

In this study, it is considered that the shape of membership function and the values of parameters are arbitrary, hence reliability parameters will be arbitrary, and some data are even absurd from the point of view of real life practice. An applied fuzzy reliability theory is applied to practical engineering problem. Method of fuzzy reliability evaluation are developed.

Publisher

International Journal of Mathematical, Engineering and Management Sciences plus Mangey Ram

Subject

General Engineering,General Business, Management and Accounting,General Mathematics,General Computer Science

Reference11 articles.

1. Biondini, F., Bontempi, F., & Malerba, P. G. (2004). Fuzzy reliability analysis of concrete structures. Computers & Structures, 82(13), 1033-1052.

2. Chen, S. Y. (1995). On absolutely membership degree and its determination. Discovery of Nature, 14(52), 19-22.

3. Chen, S. Y. (1998). Engineering fuzzy set theory and application. National Defence Industry Press, Beijing, 80-93.

4. Dong, Y. G., Chen, X. Z., Cho, H., & Kwon, J. (2004). Fuzzy reliability digital simulation of mechanical system based on fuzzy theory [J]. Acta Simulata Systematica Sinica, 9, 028.

5. Handbook of Boeing 707-320B/C airliner maintaining. Beijing: Civil Aviation Beijing Administration System, 1975. 73-79.

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