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Fuzzy reliability modeling in the system failure rates merit context

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Abstract

This paper discusses an engineering reliability model in fuzzy environment. As many reliability parameters are ill-defined or subjectively described using linguistic terms, the conventional measurement approaches cannot effectively handle the vagueness and ambiguity which exist within reliability parameters. However, fuzzy logic allows the extraction of precise conclusions based on vague human perceptions involved in reliability. In this research the authors have applied the fuzzy reliability evaluation approach to merit the input failure rates of the system. Fuzzy reliability index is evaluated with the help of the linguistic variables assessed by experts in the form of performance rating and importance weights of different parameters and multi-criteria decision making technique to measure the reliability of a system. The novelty in the paper is the assessment of the reliability index using fuzzy logic identifying the principal obstacles to improve the reliability level.

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References

  • Ansari SR, Mittal PK, Chandna R (2010) Multi-criteria decision making using fuzzy logic approach for evaluating the manufacturing flexibility. J Eng Technol Res 2(12):237–244

    Google Scholar 

  • Cai K-Y (1996). Introduction to fuzzy reliability. Kluwer Academic Publishers Group, Boston, ISBN: 978-1-4612-8608-0 978-1-4613-1403-5

  • Chandna R, Ansari SR (2012) Comparison of fuzzy and multi-criteria decision making approach to measure manufacturing flexibility. Int J Sci Eng Res 3(5):1–9

    Google Scholar 

  • Chen SJ, Hwang CL (1992) Fuzzy multiple attribute decision making methods and application. Springer, Berlin

    Book  Google Scholar 

  • Cheng C-H (1996) Fuzzy repairable reliability based of fuzzy Gert. Microelectron Reliab 36(10):1557–1563

    Article  Google Scholar 

  • Cheng C-H, Mon D-L (1993) Fuzzy system reliability analysis by interval of confidence. Fuzzy Sets Syst 56:29–35

    Article  Google Scholar 

  • Chowdhury SG, Misra KB (1992) Evaluation of fuzzy reliability of a non-series parallel network. Microelectron Reliab 32(1/2):1–4

    Article  Google Scholar 

  • Ebrahimipur V, Qurayshi SF, Shabani A, Maleki-Shoja B (2011) Reliability optimization of multi-state weighted k-out-of-n systems by fuzzy mathematical programming and genetic algorithm. Int J Syst Assur Eng Manag 2(4):312–318

    Google Scholar 

  • Guan J, Wu Y (2006) Repairable consecutive k-out-of-n:F system with fuzzy states. Fuzzy Sets Syst 157:121–142

    Article  MATH  MathSciNet  Google Scholar 

  • Guesgen HW, Albrecht J (2000) Imprecise reasoning in geographic information systems. Fuzzy Sets Syst 113:121–131

    Article  MATH  Google Scholar 

  • Guo H, Shi W, Deng Y (2006) Evaluating sensor reliability in classification problems based on evidence theory. IEEE Trans Syst Man Cybernet B 36(5):970–981

    Article  Google Scholar 

  • Jiang Q, Chen CH (2003) A numerical algorithm of fuzzy reliability. Reliab Eng Syst Saf 80:299–307

    Article  Google Scholar 

  • Karwowski W, Mital A (eds) (1986) Applications of approximate reasoning in risk analysis. In: Applications of fuzzy set theory in human factors. Netherlands, Amsterdam

  • Kumar A, Lata S (2012) Reliability evaluation of condensate system using fuzzy Markov model. Ann Fuzzy Math Inform 4(2):281–291

    MathSciNet  Google Scholar 

  • Lee-Kwang H, Lee JH (1999) A method for ranking fuzzy numbers and its application to decision-making. IEEE Trans Fuzzy Syst 7(6):677–685

    Article  Google Scholar 

  • Lin C-T, Chen C-T (2004) New product Go/No-Go evaluation at the front end: a fuzzy linguistic approach. IEEE Trans Eng Manag 51(2):197–207

    Google Scholar 

  • Lin C-T, Chiu H, Tseng Y-H (2006) Agility evaluation using fuzzy logic. Int J Prod Econ 101:353–368

    Article  Google Scholar 

  • Liu Y, Li X, Yang G (2010) Reliability analysis of random fuzzy repairable series system, fuzzy information and engineering 2010. Adv Intel Soft Comput 78:281–296

    Article  Google Scholar 

  • Luo RC, Chen TM, Su KL (2001) Target tracking using hierarchical grey-fuzzy motion decision-making method. IEEE Syst Man Cybernet A 31(3):179–186

    Article  Google Scholar 

  • Malinowski J, Preuss W (1996) Reliability increase of consecutive k-out-of-n:F and related systems through components ‘rearrangement’. Microelectron Reliab 36(10):1417–1423

    Article  Google Scholar 

  • Mon D-L, Cheng C-H (1994) Fuzzy system reliability analysis for components with different membership functions. Fuzzy Sets Syst 64:145–157

    Article  MathSciNet  Google Scholar 

  • Noore A, Cross PL (2005) Modeling the reliability of large distributed non-homogeneous networks. Inform Proc Lett 93:57–61

    Article  MATH  MathSciNet  Google Scholar 

  • Onisawa T, Kacprzyk J (eds) (1995) Reliability and safety analyses under fuzziness. Physica, Heidelberg

    MATH  Google Scholar 

  • Prasad MH, Reddy GR, Srividya A, Verma AK (2012) Reliability estimation of passive systems using fault tree approach. Int J Syst Assur Eng Manag 3(3):237–245

    Google Scholar 

  • Ram M (2010) Reliability measures of a three-state complex system: a copula approach. Appl Appl Math 5(2):386–395

    MathSciNet  Google Scholar 

  • Ramachandran V, Sankararanarayanan V, Seshasayee (1992) Fuzzy reliability modeling-linguistic approach. Microelectron Reliab 32(9):1311–1318

    Article  Google Scholar 

  • Sharma RK, Kumar D, Kumar P (2005) Systematic failure mode effect analysis (FMEA) using fuzzy linguistic modelling. Int J Qual Reliab Manag 22(9):986–1004

    Article  Google Scholar 

  • Singer D (1990) A fuzzy set approach to fault tree and reliability analysis. Fuzzy Sets Syst 34:145–155

    Article  Google Scholar 

  • Singh VV, Singh SB, Ram M, Goel CK (2012) Availability, MTTF and cost analysis of a system having two units in series configuration with controller. Int J Syst Assur Eng Manag. doi:10.1007/s13198-012-0102-0

  • Utkin LV (1994a) Fuzzy reliability of repairable systems in the possibility context. Microelectron Reliab 34(12):1865–1876

    Article  Google Scholar 

  • Utkin LV (1994b) Knowledge based fuzzy reliability assessment. Microelectron Reliab 34(5):863–874

    Article  Google Scholar 

  • Verma AK, Ajit S, Karanki DR (2010) Reliability and safety engineering, 1 ed, Springer, London, ISBN: 978-1-84996-231-5

  • Wu D, Mendel JM (2011) Linguistic summarization using if–then rules and interval type-2 fuzzy sets. IEEE Trans Fuzzy Syst 19(1):136–151

    Article  Google Scholar 

  • Wu W, Huang H-Z, Wang Z-L, Li Y-F, Pang Y (2012) Reliability analysis of mechanical vibration component using fuzzy set theory. Maint Reliab 14(2):130–134

    Google Scholar 

  • Zhang X, Pham H, Johnson CR (2010) Reliability models for systems with internal and external redundancy. Int J Syst Assur Eng Manag 1(4):362–369

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Graphic Era University, Dehradun, 248002, India

    Ritu Chandna & Mangey Ram

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  1. Ritu Chandna
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  2. Mangey Ram
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Correspondence to Mangey Ram.

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Chandna, R., Ram, M. Fuzzy reliability modeling in the system failure rates merit context. Int J Syst Assur Eng Manag 5, 245–251 (2014). https://doi.org/10.1007/s13198-013-0152-y

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