Abstract
This paper describes a vague sets-based fault tree technique to evaluate the reliability indices for power plant systems. Due to uncertainty in the collected data, all failure probabilities of the components of the system are represented by LR type interval valued flat vague sets. For preserving the shape of the LR type interval valued flat vague sets T ω -based arithmetic operations are used. An example of gas power plant is given to demonstrate the method described in this paper. By using this approach, the fuzzy system reliability can be analyzed in a more flexible and intelligent manner.
Similar content being viewed by others
References
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 (2003) Analyzing fuzzy system reliability using vague set theory. Int J Appl Sci Eng 1:82–88
Gau WL, Buehrer DJ (1993) Vague sets. IEEE Trans Syst Man Cybern 23:610–614
Hong DH, Do HY (1997) Fuzzy system reliability analysis by the use of T ω (the weakest t-norm) on fuzzy number arithmetic operations. Fuzzy Sets Syst 90(3):307–316
Kumar A, Yadav SP, Kumar S (2006) Fuzzy reliability of a marine power plant using interval valued vague sets. Int J Appl Sci Eng 4:71–82
Kumar A, Yadav SP, Kumar S (2007) Fuzzy system reliability analysis using T ω (the weakest t-norm) based arithmetic operations on L–R type interval valued vague sets. Int J Qual Reliab Manag 24:846–860
Shu HM, Cheng HC, Chang RJ (2006) Using intuitionistic fuzzy sets for fault tree analysis on printed circuit board assembly. Microelectron Reliab 46:2139–2148
Taheri SM, Zarei R (2011) Bayesian system reliability assessment under the vague environment. Appl Soft Comput 11(2):1614–1622
Verma M, Kumar A (2011) Fuzzy reliability analysis of a gas power plant using Tw-based arithmetic operations on L–R type flat vague set. Electroenerg Electrotech Electromech Control 2(1):32–44
Verma AK, Srividya A, Ravi Kumar HM (2002) A framework using uncertainties in the composite power system reliability evaluation. Electr Power Compon Syst 30:679–691
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353
Zadeh LA (1975a) The concept of a linguistic variable and its applications to approximate reasoning. Part I. Inform Sci 8:199–251
Zadeh LA (1975b) The concept of a linguistic variable and its applications to approximate reasoning. Part II. Inform Sci 8:301–357
Zadeh LA (1975c) The concept of a linguistic variable and its applications to approximate reasoning. Part III. Inform Sci 8:43–80
Author information
Authors and Affiliations
Corresponding author
Appendix
Appendix
See Table 2.
Rights and permissions
About this article
Cite this article
Verma, M., Kumar, A. A new approach for analysis the fuzzy reliability using LR type interval valued flat vague set. Int J Syst Assur Eng Manag 3, 360–370 (2012). https://doi.org/10.1007/s13198-012-0105-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13198-012-0105-x