Interval Type 2- Fuzzy Rule based System Approach for Selection of Alternatives using TOPSIS

Abdul Malek Yaakob, Ku M. Naim Ku Khalif, Alexander Gegov, Siti Fatimah Abdul Rahman

2015

Abstract

The paper considers fuzzy rule based system for multi criteria group decision making problem. A novel version of TOPSIS method using interval type 2 fuzzy rule based system approach is proposed with the objective of improving the type 2 TOPSIS ability to deal with ambiguity through the combination of the mathematical process involved in the type 2 TOPSIS with the expert empirical knowledge. On the other hand, a hybrid analysis of decision making process that requires the use of human sensitivity to reflect influence degree of decision maker can be expressed by a fuzzy rule base. To ensure practicality and effectiveness of proposed method, stock selection problem is studied. The ranking based on proposed method is validated comparatively using Kendall’s Tau rank correlation. Based on the result, the proposed method outperforms the established non-rule based version of type 2 TOPSIS in term of ranking performance.

References

  1. Adler, L.M., 1957. A Modification of Kendall's Tau for the Case of Arbitrary Ties in Both Rankings. Journal of the American Statistical Association, 52(277), pp.33-35 CR -
  2. Awasthi, A., Chauhan, S.S. & Omrani, H., 2011. Application of fuzzy TOPSIS in evaluating sustainable transportation systems. Expert Systems with Applications, 38(10), pp.12270-12280.
  3. Chen, C.-T., 2000. Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems, 114(1), pp.1-9.
  4. Chen, S.-M. & Lee, L.-W., 2010. Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method. Expert Systems with Applications, 37(4), pp.2790-2798.
  5. Dibley, J. & Trowbridge, L., 1987. Interpretation of Zscore anthropometric from the international growth derived.
  6. Hwang, C.L.Yoon, K., 1981. Multiple Atribute Decision Making: Methods and Applications, New York: Springer- Verlag.
  7. Kelemenis, A., Ergazakis, K. & Askounis, D., 2011. Support managers' selection using an extension of fuzzy TOPSIS. Expert Systems with Applications, 38(3), pp.2774-2782.
  8. Lee, L. & Chen, S., 2008. Fuzzy multiple attributes group decision-making based on the extension of TOPSIS method and interval type-2 fuzzy sets. Machine Learning and Cybernetics, (July), pp.12-15.
  9. Mohamad, D. & Jamil, R.M., 2012. A Preference Analysis Model for Selecting Tourist Destinations based on Motivational Factors: A Case Study in Kedah, Malaysia. Procedia - Social and Behavioral Sciences, 65, pp.20-25.
  10. Santos, F.J.J. & Camargo, H.A., 2010. Decision support systems in multicriteria groups: An approach based on fuzzy rules. International Conference on Fuzzy Systems, pp.1-8.
  11. Sengül, Ü. et al., 2015. Fuzzy TOPSIS method for ranking renewable energy supply systems in Turkey. Renewable Energy, 75, pp.617-625.
  12. Shidpour, H., Shahrokhi, M. & Bernard, A., 2013. A multi-objective programming approach, integrated into the TOPSIS method, in order to optimize product design; in three-dimensional concurrent engineering. Computers & Industrial Engineering, 64(4), pp.875- 885.
Download


Paper Citation


in Harvard Style

Yaakob A., Ku Khalif K., Gegov A. and Abdul Rahman S. (2015). Interval Type 2- Fuzzy Rule based System Approach for Selection of Alternatives using TOPSIS . In Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (ECTA 2015) ISBN 978-989-758-157-1, pages 112-120. DOI: 10.5220/0005586501120120


in Bibtex Style

@conference{fcta15,
author={Abdul Malek Yaakob and Ku M. Naim Ku Khalif and Alexander Gegov and Siti Fatimah Abdul Rahman},
title={Interval Type 2- Fuzzy Rule based System Approach for Selection of Alternatives using TOPSIS},
booktitle={Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (ECTA 2015)},
year={2015},
pages={112-120},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005586501120120},
isbn={978-989-758-157-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (ECTA 2015)
TI - Interval Type 2- Fuzzy Rule based System Approach for Selection of Alternatives using TOPSIS
SN - 978-989-758-157-1
AU - Yaakob A.
AU - Ku Khalif K.
AU - Gegov A.
AU - Abdul Rahman S.
PY - 2015
SP - 112
EP - 120
DO - 10.5220/0005586501120120