[1] S. Abbasbandy and B. Asady, Ranking of fuzzy numbers by sign distance, Information Sciences,
176 (2006), 2405-24016.
[2] B. Asady and A. Zendehnam, Ranking fuzzy numbers by distance minimization, Applied
Mathematical Modelling, 31(2007), 2589-2598.
[3] R. G. Bartle, The Elements of Integration and Lebesgue Measure, Wiley Interscience, 1995.
[4] G. Bortolan and R. A. Degani, Review of some methods for ranking fuzzy subsets, Fuzzy Sets
and Systems, 15 (1985), 1-19.
[5] S. Chanas, M. Delgado, J. L. Verdegay and M. A. Vila, Ranking fuzzy interval numbers in
the setting of random sets, Information Sciences, 69 (1993), 201-217.
[6] S. Chanas and P. Zielinski, Ranking fuzzy interval numbers in the setting of random sets-
further results, Information Sciences, 117 (1999), 191-200.
[7] P. T. Chang and E. S. Lee, Ranking of fuzzy sets based on the concept of existence, Computers
and Mathematics with Applications, 27 (1994), 1-21.
[8] S. H. Chen, Ranking fuzzy numbers with maximizing set and minimizing set, Fuzzy Sets and
Systems, 17 (1985), 113-129.
[9] S. J. Chen and S. M. Chen, Fuzzy risk analysis based on the ranking of generalized trapezoidal
fuzzy numbers, Applied Intelligence, 26 (2007), 1-11.
[10] L. H. Chen and H. W. Lu, An approximate approach for ranking fuzzy numbers based on left
and right dominance, Computers and Mathematics with Applications, 41 (2001), 1589-1602.
[11] T. C. Chu and C. T. Tsao, Ranking fuzzy numbers with an area between the centroid point
and original point, Computers and Mathematics with Applications, 43 (2002), 111-117.
[12] L. Decampos and G. A. Mu~noz, A subjective approach for ranking fuzzy numbers, Fuzzy Sets
and Systems, 29 (1989), 145-153.
[13] M. Delgado, J. L. Verdegay and M. A. Vila, A procedure for ranking fuzzy numbers using
fuzzy relations, Fuzzy Sets and Systems, 26 (1988), 49-62.
[14] Y. Deng, Z. Zhenfu and L. Qi, Ranking fuzzy numbers with an area method using radius of
gyration, Computers and Mathematics with Applications, 51 (2006), 1127-1136.
[15] P. Diamond, and P. Kloeden, Metric Spaces of Fuzzy Sets, World Scientic, Singapore 1994.
[16] D. Dubois and H. Prade, Ranking fuzzy numbers in the setting of possibility theory, Information
Sciences, 30 (1983), 183-224.
[17] D. Dubois and H. Prade, Possibility theory: an approach to computerized processing of
uncertainty, Plenum Press, New York, 1998.
[18] P. Y. Ekel, I. V. Kokshenev, R. O. Parreiras, G. B. Alves and P. M. N. Souza, Fuzzy set
based models and methods of decision making and power engineering problems, Engineering,
5 (2013), 41-51.
[19] R. Ezzati, T. Allahviranloo, S. Khezerloo and M. Khezerloo, An approach for ranking of
fuzzy numbers, Expert Systems with Applications, 39 (2012), 690-695.
[20] G. Hesamian and M. Shams, Parametric testing statistical hypotheses for fuzzy random vari-
ables, Soft Computing, 20 (2015), 1537-1548.
[21] V. H. Huynh, Y. Nakamori and J. Lawry, A probability-based approach to comparison of fuzzy
numbers and applications to target-oriented decision making, IEEE Transactions on Fuzzy
Systems, 16 (2008), 371-387.
[22] R. Jain, Decision making in the presence of fuzzy variables, IEEE Transactions on Systems,
Man, and Cybernetics , 6 (1976), 698-703.
[23] K. Kim and K. S. Park, Ranking fuzzy numbers with index of optimism, Fuzzy Sets and
Systems, 35 (1990), 143-150.
[24] A. Kumar, P. Singh, P. Kaur and A. Kaur, A new approach for ranking of LR type generalized
fuzzy numbers, Expert Systems with Applications, 38 (2011), 10906{10910.
[25] H. L. Kwang and J. H. Lee, A method for ranking fuzzy numbers and its application to
decision-making, IEEE T. Fuzzy Syst., 7 (1999), 677-685.
[26] K. H. Lee, First Course on Fuzzy Theory and Applications, Springer-Verlag, Berlin, 2005.
[27] E. S. Lee and R. J. Li, Comparison of fuzzy numbers based on the probability measure of
fuzzy events, Computers and Mathematics with Applications, 15(1988), 887-896.
[28] D. F. Li, A ratio ranking method of triangular intuitionistic fuzzy numbers and its application
to MADM problems, Computers and Mathematics with Applications, 60 (2010), 1557-1570.
[29] T. S. Liou and M. J. Wang, Ranking fuzzy numbers with integral value, Fuzzy Sets and
Systems, 50 (1992), 247-255.
[30] B. Liu, Uncertainty Theory, Springer-Verlag, Berlin, 2004.
[31] X. W. Liu and S. L. Han, Ranking fuzzy numbers with preference weighting function expec-
tations, Computers and Mathematics with Applications, 49 (2005), 1731-1753.
[32] M. Modarres and S. S. Nezhad, Ranking fuzzy numbers by preference ratio, Fuzzy Sets and
Systems, 118 (2001), 429-436.
[33] J. Peng, H. Liu and G. Shang, Ranking fuzzy variables in terms of credibility measure,
Proceedings of the 3th international conference on Fuzzy Systems and Knowledge Discovery,
Xi'an, China, (2006), 24-28.
[34] S. Rezvani, Ranking generalized exponential trapezoidal fuzzy numbers based on variance,
Applied Mathematics and Computation, 262 (2015), 191{198.
[35] J. Saade and H. Schwarzlander, Ordering fuzzy sets over the real line: an approach based on
decision making under uncertainty, Fuzzy Sets and Systems, 50 (1992), 237-246.
[36] H. Sun and J. Wu, A new approach for ranking fuzzy numbers based on fuzzy simulation
analysis method, Applied Mathematics and Computation, 174 (2006), 755-767.
[37] L. Tran and L. Duckstein, Comparison of fuzzy numbers using a fuzzy distance measure,
Fuzzy Sets and Systems, 130 (2002), 331-341.
[38] E. Valvis, A new linear ordering of fuzzy numbers on subsets of F(R), Fuzzy Optimazation
and Decision Making, 8 (2009), 141-163.
[39] Y. M. Wang, Centroid defuzzication and the maximizing set and minimizing set ranking
based on alpha level sets, Computers and Industrial Engineering, 57 (2009), 228-236.
[40] X. Wang and E. E. Kerre, Reasonable properties for the ordering of fuzzy quantities (I),
Fuzzy Sets and Systems, 118 (2001), 375-385.
[41] X. Wang and E. E. Kerre, Reasonable properties for the ordering of fuzzy quantities (II),
Fuzzy Sets and Systems, 118 (2001), 387-405.
[42] Y. J. Wang and H. S. Lee, The revised method of ranking fuzzy numbers with an area between
the centroid and original points, Computers and Mathematics with Applications, 55 (2008),
2033-2042.
[43] Z. X. Wang, Y. J. Liu, Z. P. Fan and B. Feng, Ranking LR-fuzzy number based on deviation
degree, Information Science, 179 (2009), 2070-2077.
[44] Y.M. Wang and Y. Luo, Area ranking of fuzzy numbers based on positive and negative ideal
points, Computers and Mathematics with Applications, 58 (2009), 1769-1779.
[45] Z. X. Wang and Y. N. Mo, Ranking fuzzy numbers based on ideal solution, Fuzzy Information
and Engineering, 2 (2010), 27-36.
[46] P. Xu, X. Su, J. Wu, X. Sun, Y. Zhang and Y. Deng, A note on ranking generalized fuzzy
numbers, Expert Systems with Applications, 39 (2012), 6454-6457.
[47] Y. Yuan, Criteria for evaluating fuzzy ranking methods, Fuzzy Sets and Systems, 43 (1991),
139-157.