Reliability Analysis of a System using Intuitionstic Fuzzy Sets
1, Vintesh Sharma2, Rajesh Dangwal3

1M.K.Sharma, Department of Mathematics, R.S.S. (PG) College, Pilkhuwa, Ghaziabad
2Vintesh Sharma, Department of Mathematics, H.N.B.Garhwal University, Srinagar, Pauri Campus (U.K.)
3Rajesh Dangwal, Department of Mathematics, H.N.B.Garhwal University, Srinagar, Pauri Campus (U.K.)

Manuscript received on July 01, 2012. | Revised Manuscript received on July 04, 2012. | Manuscript published on July 05, 2012. | PP: 431-440 | Volume-2, Issue-3, July 2012. | Retrieval Number: C0793062312 /2012©BEIESP
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Abstract: In General fuzzy sets are used to analyze the system Reliability. Present paper attempts to review the fuzzy/possibility tools when dealing with reliability of series-parallel network systems. Various issues of reasoning-based approaches in this framework are reviewed, discussed and compared with the standard approaches of reliability. To analyze the fuzzy system reliability, the reliability of each component of the system is considered as a trapezoidal intuitionstic fuzzy number. Trapezoidal intuitionstic fuzzy number arithmetic operations are also performed to evaluate the fuzzy reliability of the system. A numerical example is also given to illustrate the method.

Keywords: Fuzzy sets, Intuitionstic Fuzzy sets, Intuitionstic Fuzzy Numbers, Reliability, (α, β)- Cuts, Network System AMS Subject Classification: – 60K10