Application of parametric form for ranking of fuzzy numbers

bibitem{abb1} S. Abbasbandy and T. Hajjari, {it A new approach for ranking of trapezoidal fuzzy numbers},
Computers and Mathematics with Applications, {bf 57} (2009), 413-419.

bibitem{ABBAS}
S. Abbasbandy and B. Asady,  {it Ranking of fuzzy numbers by sign
distance}, Information Sciences, {bf 176} (2006), 2405-2416.

bibitem{Asadi} B. Asady and A. Zendehnam, {it Ranking fuzzy numbers by distance minimizing},
Applied Mathematical Modeling, {bf 31} (2007), 2589-2598.

bibitem{MatBrun} M. Brunelli and J. Mezeib, {it How different are ranking methods for fuzzy numbers?
A numerical study}, International Journal of Approximate Reasoning, {bf 54} (2013), 627-639.

bibitem{ChenTang} C. C. Chen and H. C. Tang, {it Ranking of nonnormal p-norm
trapezoidal fuzzy numbers with integral value},
Computers and Mathematics with Applications, {bf 56} (2008), 2340-�2346.

bibitem{chu}
T. Chu and C. Tsao,  {it Ranking fuzzy numbers with an area between the
centroid point and original points}, Computers and Mathematics with Application {bf 43} (2002),
111-117.

bibitem{cheng1}
C. H. Cheng,  {it A new approach for ranking fuzzy numbers by distance minimizing}, Fuzzy Sets and Systems, {bf 95}
(1998), 307-317.

bibitem{DUPR} D. Dubois and H. Prade, {it Towards fuzzy differential calculus:
Part 3, differentiation}, Fuzzy Sets and Systems, {bf 8} (1982), 225-233.

bibitem{HD}H. Deng, {it  Comparing and ranking fuzzy numbers using ideal solutions},
Applied Mathematical Modelling, {bf 38}textbf{(5-6)} (2014), 1638-1646.

bibitem{Ezzati}
R. Ezzati, T. Allahviranloo, S. Khezerloo and M. Khezerloo, {it An approach for ranking of fuzzy numbers},
Expert Systems with Applications, {bf 39} (2012), 690-695.

bibitem{SGG} S. G. Gal, {it Approximation theory in fuzzy setting}, In:
G. A. Anastassiou, ed., Handbook of Analytic-Computational
Methods in Applied Mathematics, Chapman  Hall  CRC Press, (2000), 617-666.

 bibitem{voxman} R. Goetschel and W. Voxman, {it Elementary calculus}, Fuzzy Sets and Systems, {bf 18} (1986),
31-43.
 bibitem{jain1}

R. Jain, {it Decision-making in the presence of fuzzy variable}, IEEE Trans. Syst. Man Cybren, {bf 6} (1976), 698-703.

bibitem{jain2}
R. Jain, {it A procedure for multi-aspect decision making using fuzzy sets}, Int. J. Syst. Sci, {bf 8} (1977), 1-7.

bibitem{AmitKumar1} A. Kumar, P. Singh, A. Kaur and P. Kaur,
{it A new approach for ranking nonnormal p-norm trapezoidal fuzzy numbers},
 Computers and Mathematics with Applications, {bf 61} (2011), 881-887.

bibitem{AmitKumar2} A. Kumar, P. Singh, P. Kaur and A. Kaur,
{it A new approach for ranking of L.R type generalized fuzzy numbers},
Expert Systems with Applications, {bf 38} (2011), 10906-10910.

bibitem{liwang}T. S. Liou and M. J. Wang, {it Ranking fuzzy numbers with integral value},
Fuzzy Sets and Systems, {bf 50} (1992), 247-255.

bibitem{liu}
X. Liu,  {it Measuring the satisfaction of constraints in fuzzy
linear programming}, Fuzzy Sets and Systems, {bf 122} (2001), 263-275.

 bibitem{ma}
M. Ma, M. Friedman and A. Kandal, {it A new fuzzy arithmetic},
Fuzzy Sets and Systems, {bf 108} (1999), 83-90.

 bibitem{mun}
B. Matarazzo and G. Munda,  {it New approaches for the comparison of
L-R fuzzy numbers}, Fuzzy Sets and Systems, {bf 118} (2001), 407-418.

bibitem{kerre1}
X. Wang and E. E. Kerre, {it Reasonable properties for the ordering
of fuzzy quantities $(I)$}, Fuzzy Sets and Systems, {bf 118} (2001), 375-385.

bibitem{kerre2}
X. Wang and E. E. Kerre, {it Reasonable properties for the ordering
of fuzzy quantities $(I)$}, Fuzzy Sets and Systems, {bf 118} (2001), 387-405.

bibitem{Wang}
Y. J. Wang and S. H. Lee,  {it The revised method of ranking fuzzy
numbers with an area between the centroid an original points},
Computers and mathematics with Applications, {bf 55} (2008). 2033-2042.

bibitem{Yao}
J. Yao and K. Wu,  {it Ranking fuzzy numbers based on decomposition
principle and signed distance}, Fuzzy Sets and Systems, {bf 116} (2000), 275 - 288.

%bibitem{WZG}C. Wu, Z. Gong, {it On Henstock integral of fuzzy-number-valued functions I}, Fuzzy Sets and Systems, {bf 120} (2001), 523-532.
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