Reliability Analysis of a Powerloom Plant Using Interval Valued Intuitionistic Fuzzy Sets


In this paper, we investigate the reliability analysis of a powerloom plant by using interval valued intuitionistic fuzzy sets (IVIFS). Herein, we modeled a powerloom plant as a gracefully degradable system having two units A(n) and B(m) connected in series. The reliability ofncomponents of unitAandmcomponents of unitBis assumed to be an IVIFS defined over the universe of discourse [0, 1]. Thus, the reliability of the system obtained is an IVIFS that covers the inherited uncertainty in data collection and reliability evaluation of a powerloom plant.

Share and Cite:

Tyagi, S. (2014) Reliability Analysis of a Powerloom Plant Using Interval Valued Intuitionistic Fuzzy Sets. Applied Mathematics, 5, 2008-2015. doi: 10.4236/am.2014.513193.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Cai, K.Y. (1996) Introduction to Fuzzy Reliability. Kluwer Academic Publishers, Boston.
[2] Zadeh, L.A. (1965) Fuzzy Sets. Information Control, 8, 338-353.
[3] Cai, K.Y. and Wen, C.Y. (1990) Street Lighting Lamp Replacement: A Fuzzy Viewpoint. Fuzzy Sets and Systems, 37, 161-172.
[4] Singer, D. (1990) A fuzzy set approach to fault tree and reliability analysis. Fuzzy Sets and Systems, 34, 145-155.
[5] Chen, S.M. (1994) Fuzzy System Reliability Analysis Using Fuzzy Number Arithmetic Operations. Fuzzy Set and Systems, 64, 31-38.
[6] Bowles, J.B. and Palaez, C.E. (1995) Application of Fuzzy Logic to Reliability Engineering. Proceedings of the IEEE, 83, 435-449.
[7] Pandey, D. and Tyagi, S.K. (2007) Profust Reliability of a Gracefully Degradable System. Fuzzy Sets and Systems, 158, 794-803.
[8] Goguen, J.A. (1967) L-Fuzzy Sets. Journal of Mathematical Analysis and Applications, 18, 145-174.
[9] Ramer, A. and Wang, C. (1996) Fuzzy Multisets. Proceedings of 1996 Asian Fuzzy System Symposium, Taiwan, 11-14 December 1996, 429-434.
[10] Gehrke, M., Walker, C. and Walker, E. (1996) Some Comments on Interval Valued Fuzzy Sets. International Journal of Intelligent Systems, 11, 751-759.<751::AID-INT3>3.3.CO;2-N
[11] Sambuc, R. (1975) Fonctions φ-floues: Application a l'aide au diagnostic en pathologie thyroidienne. Ph.D. Thesis, University of Marseille, France.
[12] Atanassov, K.T. (1986) Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 20, 87-96.
[13] Tyagi, S.K. and Akram, M. (2013) Human Reliability Evaluation for Offshore Platform Musters Using Intuitionistic Fuzzy Sets. IEEE Transactions on Fuzzy Systems, 21, 1115-1122.
[14] Wu, D. and Mendel, J.M. (2011) Linguistic Summarization Using IF-THEN Rules and Interval Type-2 Fuzzy Sets. IEEE Transactions on Fuzzy Systems, 19, 136-151.
[15] Beliakov, G., Bustince, H., James, S., Calvo, T. and Fernandez, J. (2012) Aggregation for Atanassov’s Intuitionistic and Interval Valued Fuzzy Sets: The Median Operator. IEEE Transactions on Fuzzy Systems, 20, 487-498.
[16] Atanassov, K. and Gargov, G. (1989) Interval-Valued Fuzzy Set. Fuzzy Sets and Systems, 31, 343-349.
[17] Pandey, D., Jacob, M. and Yadav, J. (1996) Reliability Analysis of a Powerloom Plant with Cold Standby for Its Strategic Unit. Microelectronics Reliability, 36, 115-119.
[18] Atanassov, K.T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Springer Verlag, Berlin.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.