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Journal of Quality and Reliability Engineering
Volume 2013 (2013), Article ID 943972, 10 pages
http://dx.doi.org/10.1155/2013/943972
Research Article

Reliability Analysis of the Engineering Systems Using Intuitionistic Fuzzy Set Theory

1School of Mathematics and Computer Applications, Thapar University Patiala, Punjab 147004, India
2Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India

Received 22 April 2013; Revised 22 July 2013; Accepted 29 July 2013

Academic Editor: Adiel Teixeira de Almeida

Copyright © 2013 Harish Garg et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The present paper investigates the reliability analysis of industrial systems by using vague lambda-tau methodology in which information related to system components is uncertain and imprecise in nature. The uncertainties in the data are handled with the help of intuitionistic fuzzy set (IFS) theory rather than fuzzy set theory. Various reliability parameters are addressed for strengthening the analysis in terms of degree of acceptance and rejection of IFS. Performance as well as sensitivity analysis of the system parameter has been investigated for accessing the impact of taking wrong combinations on its performance. Finally results are compared with the existing traditional crisp and fuzzy methodologies results. The technique has been demonstrated through a case study of bleaching unit of a paper mill.