Intuitionistic fuzzy sets (IFS) proposed by Atanassov (1983, 1986) are a generalization of ordinary fuzzy sets. They incorporate the degree of hesitation which is defined as 1 minus the sum of membership and non-membership degrees. Type-2 fuzzy sets were first introduced by Zadeh (1975) as an extension of the concept of an ordinary fuzzy set. Type-2 fuzzy sets have grades of membership that are themselves fuzzy. The membership function of a type-2 fuzzy set is three-dimensional, and it is the new third dimension that provides additional degrees of freedom for handling uncertainties. An intuitionistic fuzzy set can be converted to a Type-2 fuzzy set by subtracting its non-membership function from 1. Thus, an intuitionistic fuzzy multi-criteria decision making problem can be solved by using type-2 fuzzy multi-criteria decision making techniques. In this paper, an intuitionistic fuzzy originated interval type-2 fuzzy AHP method is developed and applied to the technology selection problem of a damless hydroelectric power plant. Damless hydroelectric power plants are environmentally friendly and sustainable energy production systems. Several criteria and damless technology alternatives along the Sakarya River in Turkey are considered. Linguistic evaluations are considered in this multi-criteria damless technology selection problem.
Intuitionistic fuzzy sets, type-2 fuzzy sets, AHP, multi-criteria decision making, damless hydroelectric power
Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96. Doi: https://doi.org/10.1016/S0165-0114(86)80034-3
Atanassov, K. (1999). Intuitionistic Fuzzy Sets. Heidelberg, Germany: Springer.
Buckley, J.J. (1985). Fuzzy hierarchical analysis. Fuzzy Sets and Systems, 34, 187-195.
Büyüközkan G., Güleryüz S., Karpak B. (2017). A new combined IF-DEMATEL and IF-ANP approach for CRM partner evaluation. International Journal of Production Economics, 191, 194-206. Doi: https://doi.org/10.1016/j.ijpe.2017.05.012
Cevik Onar, S., Oztaysi, B., Kahraman, C. (2014). Strategic decision selection using hesitant fuzzy TOPSIS and interval type-2 fuzzy AHP: a case study. International Journal of Computational Intelligence Systems, 7(5), 1002-1021. Doi: https://doi.org/10.1016/S0165-0114(86)80034-3
Chang, D. Y. (1996). Applications of the Extent Analysis Method on Fuzzy-AHP. European Journal of Operational Research, 95(3), 649-655. Doi: https://doi.org/10.1016/0377-2217(95)00300-2
Chen, X., & Tan, C. (2010). Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Systems with Applications, 37(1), 149-157. Doi: https://doi.org/10.1016/j.eswa.2009.05.005
Chen, D., Zhang, L., Jiao, J. (2010). Triangle fuzzy number intuitionistic fuzzy aggregation operators and their application to group decision making. In F.L. Wang, H. Deng, Y. Gao, J. Lei (Eds.), Artificial Intelligence and Computational Intelligence (350-357). Berlin/Heidelberg: Springer-Verlag.
Ilbahar, E., Kara?an, A. Cebi, S. & Kahraman, C. (2018). A novel approach to risk assessment for occupational health and safety using Pythagorean fuzzy AHP & fuzzy inference system. Safety Science, 103, 124-136. Doi: https://doi.org/10.1016/j.ssci.2017.10.025
Ioannidou, C. & O’Hanley, J. R. (2018). Eco-friendly location of small hydropower. European Journal of Operational Research, 264(3), 907-918. Doi: https://doi.org/10.1016/j.ejor.2016.06.067
Jager, H. I., Efroymson, R. A., Opperman, J. J., & Kelly, M. R. (2015). Spatial design principles for sustainable hydropower development. Renewable and Sustainable Energy Reviews, 45, 808-816. Doi: https://doi.org/10.1016/j.rser.2015.01.067
Kahraman, C. Öztay?i, B., Uçal Sar?, ?., Turano?lu, E. (2014), Fuzzy analytic hierarchy process with interval type-2 fuzzy sets. Knowledge-Based Systems, 59, 48-57. Doi: https://doi.org/10.1016/j.knosys.2014.02.001
Karnik N. N. & Mendel, J. M. (2001). Centroid of a type-2 fuzzy set. Information Science, 132, 195–220. Doi: https://doi.org/10.1016/s0020-0255(01)00069-x
Kuby, M. J., Fagan, W. F., ReVelle, C. S., & Graf, W. L. (2005). A multiobjective optimization model for dam removal: an example trading off salmon passage with hydropower and water storage in the Willamette basin. Advances in Water Resources, 28(8), 845-855. Doi: https://doi.org/10.1016/j.advwatres.2004.12.015
Laarhoven, P. J. M., and Pedrycz, W. (1983). A fuzzy extension of Saaty’s priority theory. Fuzzy Sets and Systems, 11, 229-241. Doi: https://doi.org/10.1016/s0165-0114(83)80082-7
Li, X.Z., Chen, Z.J., Fan, X.C., & Cheng, Z.J. (2018). Hydropower development situation and prospects in China. Renewable and Sustainable Energy Reviews, 82(1), 232-239. Doi: https://doi.org/10.1016/j.rser.2017.08.090
Mendel, J. M., John, R. I. & Liu, F. (2006). Interval type-2 fuzzy logic systems made simple. IEEE Transaction Fuzzy Systems, 14(6), 808–821. Doi: https://doi.org/10.1109/tfuzz.2006.879986
Otay ?., Öztay?i B., Çevik Onar S., Kahraman C. (2017). Multi-expert performance evaluation of healthcare institutions using an integrated intuitionistic fuzzy AHP&DEA methodology. Knowledge-Based Systems, 1, 123-124. Doi: https://doi.org/10.1016/j.knosys.2017.06.028
Özcan, E. C., Ünlüsoy, S. & Eren, T. (2017). A combined goal programming – AHP approach supported with TOPSIS for maintenance strategy selection in hydroelectric power plants. Renewable and Sustainable Energy Reviews, 78, 1410-1423. Doi: https://doi.org/10.1016/j.rser.2017.04.039
Sternberg, R. (2010). Hydropower's future, the environment, and global electricity systems. Renewable and Sustainable Energy Reviews, 14(2), 713-723. Doi: https://doi.org/10.1016/j.rser.2009.08.016
Reddy, V. R., Uitto, J. I., Frans, D. R., & Matin, N. (2006). Achieving global environmental benefits through local development of clean energy? The case of small hilly hydel in India. Energy Policy, 34(18), 4069-4080. Doi: https://doi.org/10.1016/j.enpol.2005.09.026
Sarasúa, J. I., Elías, P., Martínez-Lucas, G., Pérez-Díaz, J. I., Wilhelmi, J. R., & Sánchez, J. Á. (2014). Stability analysis of a run-of-river diversion hydropower plant with surge tank and spillway in the head pond. The Scientific World Journal, 2014, 1-13. Doi: https://doi.org/10.1155/2014/874060
Szabó, S., Bódis, K., Huld, T., & Moner-Girona, M. (2013). Sustainable energy planning: Leapfrogging the energy poverty gap in Africa. Renewable and Sustainable Energy Reviews, 28, 500-509. Doi: https://doi.org/10.1016/j.rser.2013.08.044
Tilmant, A., Kinzelbach, W., Juizo, D., Beevers, L., Senn, D., & Casarotto, C. (2012). Economic valuation of benefits and costs associated with the coordinated development and management of the Zambezi river basin. Water Policy, 14(3), 490-508. Doi: https://doi.org/10.2166/wp.2011.189
Volshanik, V. V. (1999). Calculation of the energy potential of flows realized by damless (free-flowing) hydropower plants. Hydrotechnical Construction, 33(4), 227–229. Doi: https://doi.org/10.1007/bf02764513
Zadeh, L.A. (1965). Fuzzy sets. Information and Control. 8(3), 338-353. Doi: https://doi.org/10.1016/S0019-9958(65)90241-X
Zadeh, L. A. (1975). The concept of a linguistic variable and its application to approximate reasoning. Information Sciences, 8, 199-249. Doi: https://doi.org/10.1016/0020-0255(75)90036-5
Zhu, B. & Xu, Z. (2014). Analytic hierarchy process-hesitant group decision making. European Journal of Operational Research, 239(3), 794-801. Doi: https://doi.org/10.1016/j.ejor.2014.06.019
Copyright of all articles published in IJAHP is transferred to Creative Decisions Foundation (CDF). However, the author(s) reserve the following:
- All proprietary rights other than copyright, such as patent rights.
- The right to grant or refuse permission to third parties to republish all or part of the article or translations thereof. In case of whole articles, such third parties must obtain permission from CDF as well. However, CDF may grant rights with respect to journal issues as a whole.
- The right to use all or parts of this article in future works of their own, such as lectures, press releases, reviews, textbooks, or reprint books.
- The authors affirm that the article has been neither copyrighted nor published, that it is not being submitted for publication elsewhere, and that if the work is officially sponsored, it has been released for open publication.
The only exception to the statements in the paragraph above is the following: If an article published in IJAHP contains copyrighted material, such as a teaching case, as an appendix, then the copyright (and all commercial rights) of such material remains with the original copyright holder.
CDF will receive permission for publication of copyrighted material in IJAHP. This permission is not transferable to third parties. Permission to make electronic and paper copies of part or all of the articles, including all computer files that are linked to the articles, for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage.
This permission does not apply to previously copyrighted material, such as teaching cases. In paper copies of the article, the copyright notice and the title of the publication and its date should be visible. To copy otherwise is permitted provided that a per-copy fee is paid.
To republish, to post on servers, or redistribute to lists requires that you post a link to the IJAHP article, which is available in open access delivery mode. Do not upload the article itself.
Authors are permitted to present a talk, based on a paper submitted to or accepted by IJAHP, at a conference where the paper would not be published in a copyrighted publication either before or after the conference and where the author did not assign copyright to the conference or related publisher.