Abstract | ||
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In general, fuzzy sets are used to analyse the system reliability. In this article, the concept of fuzzy set is extended by the idea of intuitionistic fuzzy set IFS and a new general procedure is proposed to construct the membership and non-membership functions of the fuzzy reliability using time-dependent IFS. Here, failure rate function of the system is represented by a triangular intuitionistic fuzzy number IFN. Also, using proposed approach, membership and non-membership functions of fuzzy reliability of series and parallel systems are constructed, where the failure rate of each component is taken as a time-dependent triangular IFN. The major advantage of using IFS over fuzzy sets is that IFS separate the positive and negative evidences for membership of an element in the set. Numerical examples are given to illustrate the proposed approach. |
Year | DOI | Venue |
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2013 | 10.1080/00207721.2011.581393 | International Journal of Systems Science |
Keywords | DocType | Volume |
triangular intuitionistic fuzzy number,fuzzy set,time-dependent intuitionistic fuzzy set,time-dependent ifs,non-membership function,fuzzy system reliability evaluation,system reliability,failure rate function,fuzzy reliability,failure rate,intuitionistic fuzzy set | Journal | 44 |
Issue | ISSN | Citations |
1 | 0020-7721 | 11 |
PageRank | References | Authors |
0.87 | 7 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mohit Kumar | 1 | 85 | 12.01 |
Shiv Prasad Yadav | 2 | 117 | 15.90 |
Surendra Kumar | 3 | 18 | 1.33 |