[1] T. M. Apostol, Mathematical analysis, Second Edition, China Machine Press, Beijing, 2004.
[2] E. Cables, M. S. Garca-Cascales and M. T. Lamata, The LTOPSIS: An alternative to TOP-
SIS decision-making approach for linguistic variables, Expert Systems with Applications,
39(2) (2012), 2119-2126.
[3] H. Y. Chen and L. G. Zhou, An approach to group decision making with interval fuzzy prefer-
ence relations based on induced generalized continuous ordered weighted averaging operator,
Expert Systems with Applications, 38(10) (2011), 13432-13440.
[4] S. J. Chen and C. L. Hwang, Fuzzy Multiple Attribute Decision Making: Methods and Ap-
plications, Springer-Verlag, Berlin, 1992.
[5] D. Dubois and H. Prade, Comment on tolerance analysis using fuzzy sets and a procedure
for multiple aspect decision making, International Journal of System Science, 9(3) (1978),
357-360.
[6] D. Dubois and H. Prade, A review of fuzzy set aggregation connectives, Information Science,
36(1/2) (1985), 85-121.
[7] J. Figueira, S. Greco and M. Ehrgott, Multiple Criteria Decision Analysis: State of the Art
Surveys, Springer, Boston, 2005.
[8] J. C. Fodor and M. Roubens, Fuzzy Preference Modeling and Multicriteria Decision Support,
Kluwer, Dordrecht, 1994.
[9] S. Z. Guo, Method of structuring element in fuzzy analysis (I), Journal of Liaoning Technical
University, 21(5) (2002), 670-673.
[10] S. Z. Guo, Method of structuring element in fuzzy analysis (II), Journal of Liaoning Technical
University, 21(6) (2002), 808-810.
[11] S. Z. Guo, Principle of fuzzy mathematical analysis based on structured element, Northeastern
University Press, Shengyang, 2004.
[12] S. Z. Guo, Homeomorphic property between fuzzy number space and family of bounded mono-
tone function, Advances in Natural Science, 14(11) (2004), 1318-1321.
[13] S. Z. Guo, Transformation group of monotone functions with same monotonic formal on [-1,
1] and operations of fuzzy numbers, Fuzzy Systems and Mathematics, 19(3) (2005), 105-110.
[14] S. Z. Guo, Commonly express method of fuzzy-valued function based on structured element,
Fuzzy Systems and Mathematics, 19(1) (2005), 82-86.
[15] S. Z. Guo, Comparison and sequencing of fuzzy numbers based on the method of structured
element, Systems Engineering-Theory and Practice, 29(3) (2009), 106-111.
[16] G. Jahanshahloo, F. Lot and M. Izadikhah, Extension of the TOPSIS method for decision-
making problems with fuzzy data, Applied Mathematics and Computation, 181(2) (2006),
1544-1551.
[17] E. Jaynes, Information theory and statistical mechanics, Physical Reviews, 106(4) (1957),
620-630.
[18] S. H. Kim, S. H. Choi and J. K. Kim, An interactive procedure for multiple attribute group
decision making with incomplete information: Range-based approach, European Journal of
Operational Research, 118(1) (1999), 139-152.
[19] S. H. Kim and B. S. Ahn, Interactive group decision making procedure under incomplete
information, European Journal of Operational Research, 116(3) (1999), 498-507.
[20] D. F. Li, Fuzzy multi-objective many-person decision makings and games, National Defense
Industry Press, Beijing, 2003.
[21] D. F. Li, Compromise ratio method for fuzzy multi-attribute group decision making, Applied
Soft Computing, 7(3) (2007), 807-817.
[22] R. J. Li, Theory and application of fuzzy multiple criteria decision making, Science Press,
Beijing, 2002.
[23] J. Lin, Fuzzy multi-attribute decision-making method based on Hausdau distance, Journal
of Systems Engineering, 22(4) (2007), 367 -372.
[24] T. S. Liou and M. J. Wang, Fuzzy weighted average: an improved algorithm, Fuzzy Sets and
Systems, 49(1) (1992), 307-315.
[25] H. T. Liu and S. Z. Guo, Fuzzy multi-attribute group decision making methods based on
structured element, Pattern Recognition and Articial Intelligence, 20(3) (2007), 343-348.
[26] H. T. Liu and S. Z. Guo, Fuzzy linear programming with fuzzy variables based on structured
element method, Systems Engineering-Theory and Practice, 28(6) (2008), 94-100.
[27] H. T. Liu and S. Z. Guo, The method of fuzzy multi-attribute decision making based on
structured element and information entropy, Mathematics in Practice and Theory, 39(17)
(2009), 1-5.
[28] P. D. Liu and F. Jin, A multi-attribute group decision-making method based on weighted
geometric aggregation operators of interval-valued trapezoidal fuzzy numbers, Applied Math-
ematical Modelling, 36(6) (2012), 2498-2509.
[29] P. D. Liu, X. Zhang and F. Jin, A multi-attribute group decision-making method based on
interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators, Journal of
Intelligent and Fuzzy Systems, 23(5) (2012), 159-168.
[30] J. M. Merig, Fuzzy multi-person decision making with fuzzy probabilistic aggregation opera-
tors, International Journal of Fuzzy Systems, 13(3) (2011), 163-174.
[31] J. M. Merig and M. Casanovas, The fuzzy generalized OWA operator and its application in
strategic decision making, Cybernetics and Systems, 41(5) (2010), 359-370.
[32] J. M. Merig and A. M. Gil-Lafuente, Fuzzy induced generalized aggregation operators and
its application in multi-person decision making, Expert Systems with Applications, 38(8)
(2011), 9761-9772.
[33] C. Shannon, The mathematical theory of communication, The University of Illinois Press,
Urbana, 1949.
[34] L. Wang and S. Z. Guo, Linear formed fully fuzzy linear dierential systems, Systems
Engineering-Theory and Practice, 32(2) (2012), 341-348.
[35] T. C. Wang and H. D. Lee, Developing a fuzzy TOPSIS approach based on subjective weights
and objective weights, Expert Systems with Applications, 36(5) (2009), 8980-8985.
[36] G. W. Wei, GRA method for multiple attribute decision making with incomplete weight
information in intuitionistic fuzzy setting, Knowledge-Based Systems, 23(3) (2010), 243-
247.
[37] G. W. Wei, FIOWHM operator and its application to multiple attribute group decision mak-
ing, Expert Systems with Applications, 38(4) (2011), 2984-2989.
[38] G. W. Wei, X. F. Zhao and R. Lin, Some induced aggregating operators with fuzzy number
intuitionistic fuzzy information and their applications to group decision making, International
Journal of Computational Intelligence Systems, 3(1) (2010), 84-95.
[39] Z. S. Xu, Method based on expected values for fuzzy multiple attribute decision making prob-
lems with preference informationon alternatives, Systems Engineering-Theory and Practice,
24(1) (2004), 109-113.
[40] Z. S. Xu, Fuzzy harmonic mean operators, International Journal of Intelligent Systems, 24(2)
(2009), 152-172.
[41] Z. S. Xu and Q. L. Da, Projection method for uncertain multi-attribute decision making with
preference information on alternatives, International Journal of Information Technology and
Decision Making, 3(3) (2004), 429-434.
[42] J. Yang and W. H. Qiu, Method for multi-attribute decision-making based on projection,
Control and Decision, 24(4) (2009), 637-640.
[43] L. Z. Yue, Y. Yan and W. Q. Zhong, Solution of matrix fuzzy game based on structuring
element theory, Systems Engineering-Theory and Practice, 30(2) (2010), 272-276.
[44] L. A. Zadeh, Fuzzy sets, Information and Control, 8(3) (1965), 338-356.
[45] E. K. Zavadskas and Z. Turskis, Multiple criteria decision making (MCDM) methods in eco-
nomics: an overview, Technological and Economic Development of Economy, 17(2) (2011),
397-427.
[46] S. Z. Zeng, W. H. Su and A. Le, Fuzzy generalized ordered weighted averaging distance
operator and its application to decision making, International Journal of Fuzzy Systems,
14(3) (2012), 402-412.
[47] J. J. Zhang, D. S. Wu and D. L. Olson, The method of grey related analysis to multiple at-
tribute decision making problems with interval numbers, Mathematical and Computer Mod-
elling, 42(9) (2005), 991-998.
[48] Y. J. Zhang and J. X. Liu, Multi-server fuzzy queues based on fuzzy structured element,
Systems Engineering-Theory and Practice, 30(10) (2010), 1815-1821.