EN
Evaluation of life quality by integrated method of AHP and TOPSIS based on interval type-2 fuzzy sets
Abstract
In this study, we present an integrated method of Analytical Hierarchy Process based on interval type-2 fuzzy sets (IT2FAHP) and Technique
for Order Performance by Similarity to Ideal Solution based on on interval type-2 fuzzy sets (IT2FTOPSIS). The applicability of the proposed
integrated method was performed on a case study of evaluation of life quality for 28 European Union Countries and other six countries, Iceland,
Macedonia, Montenegro, Serbia, Turkey and Kosovo, in terms of 30 subjective criteria. The weights of the criteria were computed by IT2FAHP and the ranking of life quality for considered countries was constituted by IT2FTOPSIS. Furthermore, the rankings were obtained by using AHP and TOPSIS methods under crisp/ fuzzy environment to show performance of the proposed method.
for Order Performance by Similarity to Ideal Solution based on on interval type-2 fuzzy sets (IT2FTOPSIS). The applicability of the proposed
integrated method was performed on a case study of evaluation of life quality for 28 European Union Countries and other six countries, Iceland,
Macedonia, Montenegro, Serbia, Turkey and Kosovo, in terms of 30 subjective criteria. The weights of the criteria were computed by IT2FAHP and the ranking of life quality for considered countries was constituted by IT2FTOPSIS. Furthermore, the rankings were obtained by using AHP and TOPSIS methods under crisp/ fuzzy environment to show performance of the proposed method.
Keywords
References
- Abdullah, L. and Najib, L. A new type-2 fuzzy set of linguistic variables for the fuzzy analytic hierarchy process. Expert Systems with Applications 41 (7), 3297-3305, 2014.
- Ashtiani, B., et al. Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets. Applied Soft Computing 9 (2), 457-461, 2009.
- Bhutia, P.W. and Phipon, R. Application of AHP and TOPSIS method for supplier selection problem. IOSR Journal of Engineering 2 (10), 43-50, 2012.
- Buckley, J.J. Fuzzy hierarchical analysis. Fuzzy sets and systems 17 (3), 233-247, 1985.
- Chang, D.-Y. Applications of the extent analysis method on fuzzy AHP. European journal of operational research 95 (3), 649-655, 1996.
- Chen, C.-T. Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy sets and systems 114 (1), 1-9, 2000.
- Chen, S.-M. and Lee, L.-W. Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method. Expert systems with applications 37 (4), 2790-2798, 2010.
- Chen, T.-Y. A PROMETHEE-based outranking method for multiple criteria decision analysis with interval type-2 fuzzy sets. Soft Computing 18 (5), 923-940, 2014.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 1, 2017
Submission Date
June 23, 2016
Acceptance Date
September 1, 2016
Published in Issue
Year 2017 Volume: 46 Number: 3
APA
Sahın, A., & Yapıcı Pehlıvan, N. (2017). Evaluation of life quality by integrated method of AHP and TOPSIS based on interval type-2 fuzzy sets. Hacettepe Journal of Mathematics and Statistics, 46(3), 511-523. https://izlik.org/JA38RR37TM
AMA
1.Sahın A, Yapıcı Pehlıvan N. Evaluation of life quality by integrated method of AHP and TOPSIS based on interval type-2 fuzzy sets. Hacettepe Journal of Mathematics and Statistics. 2017;46(3):511-523. https://izlik.org/JA38RR37TM
Chicago
Sahın, Aynur, and Nimet Yapıcı Pehlıvan. 2017. “Evaluation of Life Quality by Integrated Method of AHP and TOPSIS Based on Interval Type-2 Fuzzy Sets”. Hacettepe Journal of Mathematics and Statistics 46 (3): 511-23. https://izlik.org/JA38RR37TM.
EndNote
Sahın A, Yapıcı Pehlıvan N (June 1, 2017) Evaluation of life quality by integrated method of AHP and TOPSIS based on interval type-2 fuzzy sets. Hacettepe Journal of Mathematics and Statistics 46 3 511–523.
IEEE
[1]A. Sahın and N. Yapıcı Pehlıvan, “Evaluation of life quality by integrated method of AHP and TOPSIS based on interval type-2 fuzzy sets”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 3, pp. 511–523, June 2017, [Online]. Available: https://izlik.org/JA38RR37TM
ISNAD
Sahın, Aynur - Yapıcı Pehlıvan, Nimet. “Evaluation of Life Quality by Integrated Method of AHP and TOPSIS Based on Interval Type-2 Fuzzy Sets”. Hacettepe Journal of Mathematics and Statistics 46/3 (June 1, 2017): 511-523. https://izlik.org/JA38RR37TM.
JAMA
1.Sahın A, Yapıcı Pehlıvan N. Evaluation of life quality by integrated method of AHP and TOPSIS based on interval type-2 fuzzy sets. Hacettepe Journal of Mathematics and Statistics. 2017;46:511–523.
MLA
Sahın, Aynur, and Nimet Yapıcı Pehlıvan. “Evaluation of Life Quality by Integrated Method of AHP and TOPSIS Based on Interval Type-2 Fuzzy Sets”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 3, June 2017, pp. 511-23, https://izlik.org/JA38RR37TM.
Vancouver
1.Aynur Sahın, Nimet Yapıcı Pehlıvan. Evaluation of life quality by integrated method of AHP and TOPSIS based on interval type-2 fuzzy sets. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Jun. 1;46(3):511-23. Available from: https://izlik.org/JA38RR37TM