Possibility mean and variation coefficient based ranking methods for type-1 fuzzy numbers and interval type-2 fuzzy numbers

Abbasbandy, 2009, A new approach for ranking of trapezoidal fuzzy numbers, Computers & Mathematics with Applications, 57, 413, 10.1016/j.camwa.2008.10.090

Asady, 2010, The revised method of ranking LR fuzzy number based on deviation degree, Expert Systems with Applications, 37, 5056, 10.1016/j.eswa.2009.12.005

Asady, 2011, Revision of distance minimization method for ranking of fuzzy numbers, Applied Mathematical Modelling, 35, 1306, 10.1016/j.apm.2010.09.007

Asady, 2007, Ranking fuzzy numbers by distance minimization, Applied Mathematical Modelling, 31, 2589, 10.1016/j.apm.2006.10.018

Chen, 1985, Ranking fuzzy numbers with maximizing set and minimizing set, Fuzzy Sets and Systems, 17, 113, 10.1016/0165-0114(85)90050-8

Chen, 1992, Fuzzy Multiple Attribute Decision Making Methods, 10.1007/978-3-642-46768-4

Chen, 2010, Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets, Expert Systems with Applications, 37, 824, 10.1016/j.eswa.2009.06.094

Chen, 2012, Fuzzy risk analysis based on ranking generalized fuzzy numbers with different left heights and right heights, Expert Systems with Applications, 39, 6320, 10.1016/j.eswa.2011.12.004

Chen, 2013, Fuzzy decision making systems based on interval type-2 fuzzy sets, Information Sciences, 242, 1, 10.1016/j.ins.2013.04.005

Cheng, 1998, A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems, 95, 307, 10.1016/S0165-0114(96)00272-2

Chu, 2002, Ranking fuzzy numbers with an area between the centroid point and original point, Computers & Mathematics with Applications, 43, 111, 10.1016/S0898-1221(01)00277-2

Deng, 2014, Comparing and ranking fuzzy numbers using ideal solutions, Applied Mathematical Modelling, 38, 1638, 10.1016/j.apm.2013.09.012

Duzce, 2015, A new ranking method for trapezial fuzzy numbers and its application to fuzzy risk analysis, Journal of Intelligent & Fuzzy Systems, 28, 1411, 10.3233/IFS-141425

Ezzati, 2012, An approach for ranking of fuzzy numbers, Expert Systems with Applications, 39, 690, 10.1016/j.eswa.2011.07.060

Janizade-Haji, 2014, A developed distance method for ranking generalized fuzzy numbers, Neural Computing and Applications, 25, 727, 10.1007/s00521-013-1541-5

Lee, 1988, Comparison of fuzzy numbers based on the probability measure of fuzzy events, Computers & Mathematics with Applications, 15, 887, 10.1016/0898-1221(88)90124-1

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: Proceedings of 2008 International Conference on Machine Learning and Cybernetics, vol 1-7, 2008, pp. 3260–3265.

Liu, 2014, A method of multi-attribute decision making under risk based on interval probability, Journal of Intelligent and Fuzzy Systems, 26, 3005, 10.3233/IFS-130966

Liu, 2012, Analytical solution methods for the fuzzy weighted average, Information Sciences, 187, 151, 10.1016/j.ins.2011.10.006

Mendel J.M. , Uncertain rule-based fuzzy logic system: Introduction and new directions, Prentice– Hall PTR, 2001.

Mitchell, 2006, Ranking type-2 fuzzy numbers, IEEE Transactions on Fuzzy Systems, 14, 287, 10.1109/TFUZZ.2005.864078

Nejad, 2011, Ranking fuzzy numbers based on the areas on the left and the right sides of fuzzy number, Computers & Mathematics with Applications, 61, 431, 10.1016/j.camwa.2010.11.020

Qin, 2015, Multi-attribute group decision making using combined ranking value under interval type-2 fuzzy environment, Information Sciences, 297, 293, 10.1016/j.ins.2014.11.022

Saneifard, 2012, A comparative study of ranking fuzzy numbers based on regular weighted function, Fuzzy Information and Engineering, 4, 235, 10.1007/s12543-012-0113-1

Singh, 2014, Some new distance measures for type-2 fuzzy sets and distance measure based ranking for group decision making problems, Frontiers of Computer Science, 8, 741, 10.1007/s11704-014-3323-3

Wang, 2001, Reasonable properties for the ordering of fuzzy quantities (I), Fuzzy Sets and Systems, 118, 375, 10.1016/S0165-0114(99)00062-7

Wang, 2001, Reasonable properties for the ordering of fuzzy quantities (II), Fuzzy Sets and Systems, 118, 387, 10.1016/S0165-0114(99)00063-9

Wang, 2009, Area ranking of fuzzy numbers based on positive and negative ideal points, Computers & Mathematics with Applications, 58, 1769, 10.1016/j.camwa.2009.07.064

Wang, 2033, The revised method of ranking fuzzy numbers with an area between the centroid and original points,–, Computers & Mathematics with Applications, 55, 2042

Wang, 2009, Ranking L-ĂŞR fuzzy number based on deviation degree, Information Sciences, 179, 2070, 10.1016/j.ins.2008.08.017

Wu, 2012, On the fundamental differences between interval type-2 and type-1 fuzzy logic controllers, IEEE Transactions on Fuzzy Systems, 20, 832, 10.1109/TFUZZ.2012.2186818

Wu, 2009, A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets, Information Sciences, 179, 1169, 10.1016/j.ins.2008.12.010

Yager, 1980, On a general class of fuzzy connectives, Fuzzy Sets and Systems, 4, 235, 10.1016/0165-0114(80)90013-5

Yu, 2013, Shen, Ranking fuzzy numbers based on epsilon-deviation degree, Applied Soft Computing, 13, 3621, 10.1016/j.asoc.2013.03.016

Zadeh, 1965, Fuzzy sets, Information and Control, 8, 338, 10.1016/S0019-9958(65)90241-X

Zadeh, 1975, The concept of a linguistic variable and its applications to approximate reasoning, part i, Information Sciences, 8, 199, 10.1016/0020-0255(75)90036-5