Abstract
In this paper, the uncertainty in the operational behavior of an industrial system has been analysed using Intuitionistic Fuzzy Set (IFS) Theory. The performance of systems depends on various reliability parameters such as system failure rate, mean time to repair (MTTR), mean time between failures (MTBF), expected number of failures (ENOF), system reliability and availability. Therefore it is necessary for plant personnel to have relevant information about these parameters. As primary data related to failure and repair time are extracted from literature/experiments/expert opinions it may contain some uncertainty and impreciseness. To deal with the impreciseness and explore the information about the system parameters, IFS theory has been incorporated here. In this study, the behavior analysis and reliability measures of TAB Manufacturing Plant are discussed by Vague Lambda-Tau (VLT) method which is based on IFS theory and lambda-tau technique. The objective of this study is to analyse and find more information about reliability indices and to show the importance of Vague Lambda-Tau method over Fuzzy Lambda-Tau method. For this purpose, all the system parameter-values are obtained by Fuzzy Lambda-Tau method and are compared with Vague Lambda-Tau method values. The uncertainty analysis, done here will help the decision analyst to achieve better system maintenance strategy for failure-free operation of the system.
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References
Arora N, Kumar D (1997) Availability analysis of steam and power generation systems in the thermal power plant. Microelectron Reliab 37(5):795–799
Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96
Birolini A (2004) Reliability engineering: theory and practice, 4th edn. Springer, New York
Bustince H, Burillo P (1996) Vague sets are intuitionistic fuzzy sets. Fuzzy Sets Syst 79(3):403–405
Cai KY (1996) System failure engineering and fuzzy methodology an introductory overview. Fuzzy Sets Syst 83(2):113–133
Chang KH, Cheng CH (2009) A novel general approach to evaluating the PCBA for components with different membership function. Appl Soft Comput 9(3):1044–1056
Chen SM (1994) Fuzzy system reliability analysis using fuzzy number arithmetic operations. Fuzzy Sets Syst 64(1):31–38
Chen SM (2003) Analyzing fuzzy system reliability using vague set theory. Int J Appl Sci Eng 1(1):82–88
Ebeling CE (2001) An introduction to reliability and maintainability engineering. Tata McGraw-Hill Company Ltd., New York
Garg H (2013) Reliability analysis of repairable systems using Petri nets and vague Lambda-Tau methodology. ISA Trans 52(1):6–18
Garg H, Sharma SP (2013) Predicting uncertain behavior of the press unit in a paper mill using PSOBLT technique. J Intell Fuzzy Syst Appl Eng Technol 25(1):231–242
Garg D, Kumar K, Singh J (2010) Decision support system of a tab manufacturing plant. J Mech Eng 41(1):71–79
Gau WL, Buehrer DJ (1993) Vague sets. IEEE Trans Syst Man Cybern 23(2):610–614
Gupta P, Lal AK, Sharma RK, Singh J (2005) Numerical analysis of reliability and availability of the serial processes in butter-oil processing plant. Int J Qual Reliab Manag 22(3):303–316
Knezevic J, Odoom ER (2001) Reliability modelling of repairable systems using Petri nets and fuzzy Lambda-Tau methodology. Reliab Eng Syst Safe 73(1):1–17
Komal, Sharma SP, Kumar D (2009) Stochastic behavior analysis of the press unit in a paper mill using GABLT technique. Int J Intell Comput Cybern 2(3):574–593
Kumar A (2009) Reliability analysis of industrial system using GA and fuzzy approach. PhD thesis, Indian Institute of Technology, Roorkee
Kumar M, Yadav SP (2012) A novel approach for analyzing fuzzy system reliability using different types of intuitionistic fuzzy failure rates of components. ISA Trans 51(2):288–297
Kumar A, Yadav SP, Kumar S (2006) Fuzzy reliability of a marine power plant using interval valued vague sets. Int J Appl Sci Eng 4(1):71–82
Lio TS, Chiou SB (1997) The application of Petri nets to failure analysis. Reliab Eng Syst Safe 57(2):129–142
Mahapatra GS, Roy TK (2009) Reliability evaluation using triangular intuitionistic fuzzy numbers arithmetic operations. World Acad Sci Eng Technol 3(2):422–429
Mon DL, Cheng CH (1994) Fuzzy system reliability analysis for components with different membership functions. Fuzzy Sets Syst 64(2):145–157
Murata T (1989) Petri nets: properties, analysis and applications. Proc IEEE 77(4):1989
Petri CA (1966) Communication with automata. Griffiss Air Force Base. Tech. Rep., New York, RADCTR-65-377, 1, SUPPI.1, 1966, Dissertation
Reisig W (1985) Petri nets: an introduction. Springer, Berlin
Ross TJ (2005) Fuzzy logic with engineering applications, 2nd edn. Wiley, New York
Sharma SP, Garg H (2011) Behavioural analysis of urea decomposition system in a fertiliser plant. Int J Ind Syst Eng 8(3):271–297
Sharma RK, Kumar S (2008) Performance modelling in critical engineering systems using RAM analysis. Reliab Eng Syst Safe 93(6):913–919
Singer D (1990) A fuzzy set approach to fault tree and reliability analysis. Fuzzy Sets Syst 34(2):145–155
Verma M, Kumar A (2013) Performance analysis of 66/11 KV substation by Petri nets and vague lambda tau methodology. Kuwait J Sci 40(1):93–107
Verma M, Kumar A (2014) A novel general approach to evaluating the reliability of gas turbine system. Eng Appl Artif Intell 28:13–21
Verma M, Kumar A, Singh Y (2013) Vague reliability assessment of combustion system using Petri nets and vague lambda-tau methodology. Eng Comput Int J Comput Aided Eng Softw 30(5):665–681
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353
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The authors would like to thank all the referees for their valuable suggestions. The corresponding author would like to thank Ministry of Human Resource and Development New Delhi, India for the assistantship given during the research work.
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Vishwakarma, Y., Sharma, S.P. Uncertainty analysis of an industrial system using Intuitionistic Fuzzy Set Theory. Int J Syst Assur Eng Manag 7, 73–83 (2016). https://doi.org/10.1007/s13198-015-0384-0
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DOI: https://doi.org/10.1007/s13198-015-0384-0