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Evaluation of life quality by integrated method of AHP and TOPSIS based on interval type-2 fuzzy sets

Year 2017, Volume: 46 Issue: 3, 511 - 523, 01.06.2017

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.

References

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  • Ashtiani, B., et al. Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets. Applied Soft Computing 9 (2), 457-461, 2009.
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  • Chen, C.-T. Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy sets and systems 114 (1), 1-9, 2000.
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  • Kahraman, C., et al. Fuzzy analytic hierarchy process with interval type-2 fuzzy sets. Knowledge-Based Systems 59, 48-57, 2014.
  • Kilic, M. and Kaya, I. Investment project evaluation by a decision making methodology based on type-2 fuzzy sets. Applied Soft Computing 27, 399-410, 2015.
  • Lee, L.-W. and Chen, S.-M. Fuzzy multiple attributes group decision-making based on the extension of TOPSIS method and interval type-2 fuzzy sets. in Machine Learning and Cyber- netics, 2008 International Conference on. IEEE. 2008.
  • Mendel, J.M., John, R., and Liu, F. Interval type-2 fuzzy logic systems made simple. Fuzzy Systems, IEEE Transactions on 14 (6), 808-821, 2006.
  • Nasab, F.G. and Malkhalifeh, M.R. Extension of TOPICS for group DM based on the type two fuzzy positive and negative ideal solutions. International Journal of Industrial Mathematics 2 (3), 199-213, 2010.
  • Opricovic, S. and Tzeng, G.-H. Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European journal of operational research 156 (2), 445-455, 2004.
  • Park, J.H., Cho, H.J., and Kwun, Y.C. Extension of the VIKOR method for group decision making with interval-valued intuitionistic fuzzy information. Fuzzy Optimization and Decision Making 10 (3), 233-253, 2011.
  • Saaty, T.L. The analytic hierarchy process: planning, priority setting, resources allocation. New York: McGraw, 1980.
  • Sun, C.-C. A performance evaluation model by integrating fuzzy AHP and fuzzy TOPSIS methods. Expert systems with applications 37 (12), 7745-7754, 2010.
  • Triantaphyllou, E. and Lin, C.-T. Development and evaluation of ve fuzzy multiattribute decision-making methods. international Journal of Approximate reasoning 14 (4), 281-310, 1996.
  • Van Laarhoven, P. and Pedrycz, W. A fuzzy extension of Saaty's priority theory. Fuzzy sets and Systems 11 (1), 199-227, 1983.
  • Wan, S.-P., Wang, Q.-Y., and Dong, J.-Y. The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers. Knowledge-Based Systems 52, 65-77, 2013.
  • Wang, Y.M. and Elhag, T.M. Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment. Expert systems with applications 31 (2), 309-319, 2006.
  • Yazdani, M., Alidoosti, A., and Zavadskas, E.K. Risk analysis of critical infrastructures using fuzzy COPRAS. Ekonomska istrazivanja 24 (4), 27, 2011.
  • Zadeh, L.A. Fuzzy sets. Information and control 8 (3), 338-353, 1965.
  • Zadeh, L.A. The concept of a linguistic variable and its application to approximate reasoningI. Information sciences 8 (3), 199-249, 1975.
  • Zavadskas, E.K. and Antucheviciene, J. Multiple criteria evaluation of rural building's re- generation alternatives. Building and Environment 42 (1), 436-451, 2007.
Year 2017, Volume: 46 Issue: 3, 511 - 523, 01.06.2017

Abstract

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.
  • Chen, T.-Y. An interval type-2 fuzzy technique for order preference by similarity to ideal solutions using a likelihood-based comparison approach for multiple criteria decision analysis. Computers & Industrial Engineering 85, 57-72, 2015.
  • Chen, T.-Y. An interval type-2 fuzzy PROMETHEE method using a likelihood-based out- ranking comparison approach. Information Fusion 25, 105-120, 2015.
  • Chen, T.-Y., Chang, C.-H., and Lu, J.-f.R. The extended QUALIFLEX method for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making. European Journal of Operational Research 226 (3), 615-625, 2013.
  • Chen, Y.-H., Wang, T.-C., and Wu, C.-Y. Strategic decisions using the fuzzy PROMETHEE for IS outsourcing. Expert Systems with Applications 38 (10), 13216-13222, 2011.
  • Eurofound. [cited 12.01.2016]; Available from: http://www.eurofound.europa.eu/surveys/ european-quality-of-life-surveys-eqls / european-quality-of-life-survey-2012, 2016.
  • Goumas, M. and Lygerou, V. An extension of the PROMETHEE method for decision mak- ing in fuzzy environment: Ranking of alternative energy exploitation projects. European Journal of Operational Research 123 (3), 606-613, 2000.
  • Hwang, C.-L. and Yoon, K. Multiple criteria decision making. Lecture Notes in Economics and Mathematical Systems, 1981.
  • Kahraman, C., et al. Fuzzy analytic hierarchy process with interval type-2 fuzzy sets. Knowledge-Based Systems 59, 48-57, 2014.
  • Kilic, M. and Kaya, I. Investment project evaluation by a decision making methodology based on type-2 fuzzy sets. Applied Soft Computing 27, 399-410, 2015.
  • Lee, L.-W. and Chen, S.-M. Fuzzy multiple attributes group decision-making based on the extension of TOPSIS method and interval type-2 fuzzy sets. in Machine Learning and Cyber- netics, 2008 International Conference on. IEEE. 2008.
  • Mendel, J.M., John, R., and Liu, F. Interval type-2 fuzzy logic systems made simple. Fuzzy Systems, IEEE Transactions on 14 (6), 808-821, 2006.
  • Nasab, F.G. and Malkhalifeh, M.R. Extension of TOPICS for group DM based on the type two fuzzy positive and negative ideal solutions. International Journal of Industrial Mathematics 2 (3), 199-213, 2010.
  • Opricovic, S. and Tzeng, G.-H. Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European journal of operational research 156 (2), 445-455, 2004.
  • Park, J.H., Cho, H.J., and Kwun, Y.C. Extension of the VIKOR method for group decision making with interval-valued intuitionistic fuzzy information. Fuzzy Optimization and Decision Making 10 (3), 233-253, 2011.
  • Saaty, T.L. The analytic hierarchy process: planning, priority setting, resources allocation. New York: McGraw, 1980.
  • Sun, C.-C. A performance evaluation model by integrating fuzzy AHP and fuzzy TOPSIS methods. Expert systems with applications 37 (12), 7745-7754, 2010.
  • Triantaphyllou, E. and Lin, C.-T. Development and evaluation of ve fuzzy multiattribute decision-making methods. international Journal of Approximate reasoning 14 (4), 281-310, 1996.
  • Van Laarhoven, P. and Pedrycz, W. A fuzzy extension of Saaty's priority theory. Fuzzy sets and Systems 11 (1), 199-227, 1983.
  • Wan, S.-P., Wang, Q.-Y., and Dong, J.-Y. The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers. Knowledge-Based Systems 52, 65-77, 2013.
  • Wang, Y.M. and Elhag, T.M. Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment. Expert systems with applications 31 (2), 309-319, 2006.
  • Yazdani, M., Alidoosti, A., and Zavadskas, E.K. Risk analysis of critical infrastructures using fuzzy COPRAS. Ekonomska istrazivanja 24 (4), 27, 2011.
  • Zadeh, L.A. Fuzzy sets. Information and control 8 (3), 338-353, 1965.
  • Zadeh, L.A. The concept of a linguistic variable and its application to approximate reasoningI. Information sciences 8 (3), 199-249, 1975.
  • Zavadskas, E.K. and Antucheviciene, J. Multiple criteria evaluation of rural building's re- generation alternatives. Building and Environment 42 (1), 436-451, 2007.
There are 32 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Statistics
Authors

Aynur Sahın This is me

Nimet Yapıcı Pehlıvan

Publication Date June 1, 2017
Published in Issue Year 2017 Volume: 46 Issue: 3

Cite

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.
AMA 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. June 2017;46(3):511-523.
Chicago 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 46, no. 3 (June 2017): 511-23.
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 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, 2017.
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 2017), 511-523.
JAMA 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, 2017, pp. 511-23.
Vancouver 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):511-23.