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Cybernetics and Systems
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Volume 48, 2017 - Issue 8
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Theoretical Drawbacks in Fuzzy Ranking Methods and Some Suggestions for a Meaningful Comparison: An Application to Fuzzy Risk Analysis

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References

  • Abbasbandy, S., and T. Hajjari. 2009. A new approach for ranking of trapezoidal fuzzy numbers. Computers and Mathematics with Applications 57:413–19.
  • Akyar, E., H. Akyar, and S. A. Duzce. 2013. Fuzzy risk analysis based on geometric ranking method for generalized trapezoidal fuzzy numbers. Journal of Intelligent and Fuzzy Systems 25:209–17.
  • Asady, B. 2010. The revised method of ranking LR fuzzy number based on deviation degree. Expert Systems with Applications 37:5056–60.
  • Asady, B., and A. Zendehnam. 2007. Ranking fuzzy numbers by distance minimization. Applied Mathematical Modelling 31:2589–98.
  • Bakar, A. S. A., and A. Gegov. 2014. Ranking of fuzzy numbers based on centroid point and spread. Journal of Intelligent and Fuzzy Systems 27:1179–86.
  • Bortolan, G., and R. Degani. 1985. A review of some methods for ranking fuzzy subsets. Fuzzy Sets and Systems 15:1–19.
  • Boulmakoul, A., M. H. Laarabi, R. Sacile, and E. Garbolino. 2016. An original approach to ranking fuzzy numbers by inclusion index and Bitset Encoding. Fuzzy Optimization and Decision Making 16:23–49.
  • Chai, K. C., K. M. Tay, and C. P. Lim. 2014. A new fuzzy ranking method using fuzzy preference relations. 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Beijing, China.
  • Chai, K. C., K. M. Tay, and C. P. Lim. 2016. A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets. Information Sciences 346–347:302–17.
  • Chen, S. M. 1996a. Evaluating weapon systems using fuzzy arithmetic operations. Fuzzy Sets and Systems 77:265–76.
  • Chen, S. M. 1996b. New methods for subjective mental workload assessment and fuzzy risk analysis. Cybernetics and Systems 27:449–72.
  • Chen, S. M., and J. H. Chen. 2009. Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads. Expert Systems with Applications 36:6833–42.
  • Chen, S. M., and K. Sanguansat. 2011. Analyzing fuzzy risk based on a new fuzzy ranking method between generalized fuzzy numbers. Expert Systems with Applications 38:2163–71.
  • Chen, C. C., and H. C. Tang. 2008. Ranking of nonnormal p-norm trapezoidal fuzzy numbers with integral value. Computers and Mathematics with Applications 56:2340–46.
  • Cheng, C. 1998. A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets and Systems 95:307–17.
  • Chiang, K. T. 2007. The optimal process conditions of an injection-molded thermoplastic part with a thin shell feature using grey-fuzzy logic: A case study on machining the PC/ABS cell phone shell. Materials and Design 28:1851–60.
  • Chu, T., and C. Tsao. 2002. Ranking fuzzy numbers with an area between the centroid point and original point. Computers and Mathematics with Applications 43:111–17.
  • Dat, L. Q., V. F. Yu, and S. Y. Chou. 2012. An improved ranking method for fuzzy numbers based on the centroid index. International Journal of Fuzzy Systems 14:413–19.
  • Dubois, D., and H. Prade. 1980. Fuzzy sets and systems, theory and applications. New York: Academic Press.
  • Duzce, S. A. 2015. A new ranking method for trapezoidal fuzzy numbers and its application to fuzzy risk analysis. Journal of Intelligent and Fuzzy Systems 28:1411–19.
  • Emrouznejad, A., M. Tavana, and A. Hatami-Marbini. 2014. The state of the art in fuzzy data envelopment analysis. In “Performance measurement with fuzzy data envelopment analysis” published in studies in fuzziness and soft computing, ed. A. Emrouznejad and M. Tavana, vol. 1, no. 309, 45. Berlin, Heidelberg: Springer-Verlag.
  • Ezzati, R., S. Khezerloo, and S. Ziari. 2015. Application of parametric form for ranking of fuzzy numbers. Iranian Journal of Fuzzy Systems 12:59–74.
  • Jain, R. 1976. Decision making in the presence of fuzzy variables. IEEE Transactions on Systems, Man and Cybernetics 6:698–703.
  • Jiang, W., Y. Luo, X. Qin, and J. Zhan. 2015. An improved method to rank generalized fuzzy numbers with different left heights and right heights. Journal of Intelligent and Fuzzy Systems 28:2343–55.
  • Hajjari, T., and S. Abbasbandy. 2011. A note on ‘‘the revised method of ranking LR fuzzy number based on deviation degree’’. Expert Systems with Applications 38 (10):13491–92.
  • Haji, M. J., H. K. Zare, R. Eslamipoor, and A. Sepehriar. 2014. A developed distance method for ranking generalized fuzzy numbers. Neural Computing and Applications 25:727–31.
  • Kahraman, C., and A. Cagri Tolga. 2009. An alternative ranking approach and its usage in multi-criteria decision-making. International Journal of Computational Intelligence Systems 2:219–35.
  • Kumar, A., P. Singh, P. Kaur, and A. Kaur. 2011a. A new approach for ranking of L–R type generalized fuzzy numbers. Expert Systems with Applications 38:10906–10.
  • Kumar, A., P. Singh, A. Kaur, and P. Kaur. 2011b. A new approach for ranking nonnormal p-norm trapezoidal fuzzy numbers. Computers and Mathematics with Applications 61:881–87.
  • Liou, T. S., and M. J. J. Wang. 1992. Ranking fuzzy numbers with integral value. Fuzzy Sets and Systems 50:247–55.
  • Modarres, M., and S. Sadi-Nezhad. 2005. Fuzzy simple additive weighting method by preference ratio. Intelligent Automation and Soft Computing 11:235–44.
  • Murakami, S., H. Maeda, and S. Imamura. 1984. Fuzzy decision analysis on the development of centralized regional energy control system. Proceedings of the IFAC Symposium Marseille 16 (3):363–68.
  • Nasseri, S. H., M. M. Zadeh, M. Kardoost, and E. Behmanesh. 2013. Ranking fuzzy quantities based on the angle of the reference functions. Applied Mathematical Modelling 37:9230–41.
  • Nejad, A. M., and M. Mashinchi. 2011. Ranking fuzzy numbers based on the areas on the left and the right sides of fuzzy number. Computers and Mathematics with Applications 61:431–42.
  • Patra, K., and S. K. Mondal. 2012. Risk analysis in diabetes prediction based on a new approach of ranking of generalized trapezoidal fuzzy numbers. Cybernetics and Systems 43:623–50.
  • Rao, R., and N. R. Shankar. 2011. Ranking fuzzy numbers with a distance method using circumcenter of centroids and an index of modality. Advances in Fuzzy Systems 2011: 1–7. doi:10.1155/2011/178308.
  • Rezvani, S. 2015. Ranking generalized exponential trapezoidal fuzzy numbers based on variance. Applied Mathematics and Computation 262:191–98.
  • Rezvani, S. 2016. Cardinal, median value, variance and covariance of exponential fuzzy numbers with shape function and its applications in ranking fuzzy numbers. International Journal of Computational Intelligence Systems 9:10–24.
  • Ribeiro, R. A. 1996. Fuzzy multiple attribute decision making: A review and new preference elicitation techniques. Fuzzy Sets and Systems 78:155–81.
  • Rouhparvar, H., and A. Panahi. 2015. A new definition for defuzzification of generalized fuzzy numbers and its application. Applied Soft Computing 30:577–84.
  • Shi, Y., and X. Yuan. 2015. A possibility-based method for ranking fuzzy numbers and applications to decision making. Journal of Intelligent and Fuzzy Systems 29:337–49.
  • Sotoudeh-Anvari, A. 2016. Comparing trapezoidal fuzzy numbers by using a hybrid technique on the base of the ideal points and the centroid point. Journal of Intelligent and Fuzzy Systems 30:3099–109.
  • Vincent, F. Y., H. T. X. Chi, and C. Shen. 2013. Ranking fuzzy numbers based on epsilon-deviation degree. Applied Soft Computing 13:3621–27.
  • Vincent, F. Y., and L. Q. Dat. 2014. An improved ranking method for fuzzy numbers with integral values. Applied Soft Computing 14:603–08.
  • Wang, Y. J. 2015. Ranking triangle and trapezoidal fuzzy numbers based on the relative preference relation. Applied Mathematical Modelling 39:586–99.
  • Wang, X., and E. E. Kerre. 2001. Reasonable properties for the ordering of fuzzy quantities. Fuzzy Sets and Systems 118:375–85.
  • Wang, Y. J., and S. H. Lee. 2008. The revised method of ranking fuzzy numbers with an area between the centroid and original points. Computers and Mathematics with Applications 55:2033–42.
  • Wang, Z. X., Y. J. Liu, Z. P. Fan, and B. Feng. 2009. Ranking LR fuzzy number based on deviation degree. Information Sciences 179:2070–77.
  • Wang, Y. M., J. B. Yang, D. L. Xu, and K. S. Chin. 2006. On centroids of fuzzy numbers. Fuzzy Sets and Systems 157:919–26.
  • Xu, P., X. Su, J. Wu, X. Sun, Y. Zhang, and Y. Deng. 2012. A note on ranking generalized fuzzy numbers. Expert Systems with Applications 39:6454–57.
  • Zhang, F., J. Ignatius, C. P. Lim, and Y. Zhao. 2014. A new method for ranking fuzzy numbers and its application to group decision making. Applied Mathematical Modelling 38 (4):1563–82.
  • Zhü, K. 2014. Fuzzy analytic hierarchy process: Fallacy of the popular methods. European Journal of Operational Research 236:113–25.

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