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Intuitionistic Fuzzy Reliability of k-out-of-n System using Statistical Confidence Interval

Gaurav Kumar, Rakesh Kumar Bajaj Published in Fuzzy Systems

International Journal of Applied Information Systems
Year of Publication: 2014
© 2013 by IJAIS Journal
10.5120/ijais14-451212
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  1. Gaurav Kumar and Rakesh Kumar Bajaj. Article: Intuitionistic Fuzzy Reliability of k-out-of-n System using Statistical Confidence Interval. International Journal of Applied Information Systems 7(7):1-7, August 2014. BibTeX

    @article{key:article,
    	author = "Gaurav Kumar and Rakesh Kumar Bajaj",
    	title = "Article: Intuitionistic Fuzzy Reliability of k-out-of-n System using Statistical Confidence Interval",
    	journal = "International Journal of Applied Information Systems",
    	year = 2014,
    	volume = 7,
    	number = 7,
    	pages = "1-7",
    	month = "August",
    	note = "Published by Foundation of Computer Science, New York, USA"
    }
    

Abstract

In the present communication, some new arithmetic operations on intuitionistic fuzzy numbers using the -cut method are introduced. A new methodology based on intuitionistic fuzzy confidence interval has been provided for analyzing the intuitionistic fuzzy system reliability of k-out-of-n system (particularly, series and parallel system), where the reliability of each component of each system is unknown. The reliability of each component of the system using the intuitionistic fuzzy statistical sample data using the -cuts of (1 . . )100% approach is estimated to compute the system reliability. Further, based on the estimated reliability of the components obtained, the intuitionistic fuzzy reliability of the system has been finally calculated using the minimal path sets approach.

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Keywords

Reliability Engineering; Fuzzy Reliability; Trapezoidal Intuitionistic Fuzzy Number; k-out-of-n System; Series and Parallel Systems.