Intuitionistic Fuzzy Information Measures with Application in Rating of Township Development

[1] K. T. Atanassov and G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and
Systems, 31 (1989), 343{349.
[2] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87{96.
[3] K. T. Atanassov, Intuitionistic fuzzy sets, Springer Physica-Verlag Heidelberg, Germany,
1999.
[4] P. Burillo and H. Bustince, Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy
sets, Fuzzy Sets and Systems, 78 (1996), 305{316.
[5] H. Bustince and P. Burillo, Vague sets are intuitionistic fuzzy sets, Fuzzy sets and systems,
79 (1996), 403{405.
[6] J. Chachi and S. M. Taheri, A unied approach to similarity measures between intuitionistic
fuzzy sets, International Journal of Intelligent Systems, 28 (2013), 669{685.
[7] T. Y. Chen and C. H. Li, Determining objective weights with intuitionistic fuzzy entropy
measures: A comparative analysis, Information Sciences, 180 (2010), 4207{4222.
[8] C. Cornelis, K. T. Atanassov and E. E. Kerre, Intuitionistic fuzzy sets and interval-valued
fuzzy sets: a critical comparison, In: Proceedings of the 3rd Conference of the European
Society for Fuzzy Logic and Technology (EUSFLAT '03), Zittau, Germany, (2003), 159-163.
[9] A. De Luca and S. Termini, A denition of non-probabilistic entropy in the setting of fuzzy
set theory, Inform. Control, 20 (1972), 301{312.
[10] G. Deschrijver and E. E. Kerre, On the relationship between some extensions of fuzzy set
theory, Fuzzy Sets and Systems, 133 (2003), 227{235.

[11] B. Farhadinia, A theoretical development on the entropy of interval-valued fuzzy sets based
on the intuitionistic distance and its relationship with similarity measure, Knowledge-Based
Systems, 39 (2013), 79{84.
[12] W. L. Gau and D.J. Buehrer, Vague sets, IEEE Transactions on Systems, Man and Cyber-
netics, 23 (1993), 610{614.
[13] P. Grzegorzewski and E. Mrowka, Some notes on (Atanassov's) intuitionistic fuzzy sets,
Fuzzy sets and systems, 156 (2005), 492{495.
[14] D. S. Hooda and A. R. Mishra, On trigonometric fuzzy information measures, ARPN Journal
of Science and Technology, 05 (2015), 145{152.
[15] C. Hung and L. H. Chen, A fuzzy TOPSIS decision making model with entropy under intu-
itionistic fuzzy environment, In: Proceedings of the international multi- conference of engi-
neers and computer scientists (IMECS), 01 (2009), 01{04.
[16] W. L. Hung and M. S. Yang, Fuzzy entropy on intuitionistic fuzzy sets, International Journal
of Intelligent Systems, 21 (2006), 443{451.
[17] C. L. Hwang and K. S. Yoon, Multiple attribute decision making: Methods and applications,
Berlin: Springer-Verlag, 1981.
[18] Y. Jiang, Y. Tang, H. Liu and Z. Chen, Entropy on intuitionistic fuzzy soft sets and on
interval-valued fuzzy soft sets, Information Sciences, 240 (2013), 95{114.
[19] D. Joshi and S. Kumar, Intuitionistic fuzzy entropy and distance measure based TOPSIS
method for multi-criteria decision making, Egyptian informatics journal, 15 (2014), 97{104.
[20] A. Kauman, Fuzzy subsets-Fundamental theoretical elements, Academic Press, New York,
1975.
[21] D. F. Li and C. T. Cheng, New similarity measure of intuitionistic fuzzy sets and application
to pattern recognitions, Pattern Recognition Letters, 23 (2002), 221{225.
[22] J. Li, D. Deng, H. Li and W. Zeng, The relationship between similarity measure and entropy
of intuitionistic fuzzy sets, Information Science, 188 (2012), 314{321.
[23] F. Li, Z. H. Lu and L. J. Cai, The entropy of vague sets based on fuzzy sets, J. Huazhong
Univ. Sci. Tech., 31 (2003), 24{25.
[24] Z. Z. Liang and P. F. Shi, Similarity measures on intuitionistic fuzzy sets, Pattern Recognition
Letters, 24 (2003), 2687{2693.
[25] L. Lin, X. H. Yuan and Z. Q. Xia, Multicriteria fuzzy decision-making methods based on
intuitionistic fuzzy sets, J. Comp Syst. Sci., 73 (2007), 84{88.
[26] H. W. Liu and G. J. Wang, Multi-criteria decision-making methods based on intuitionistic
fuzzy sets, European Journal of Operational Research, 179 (2007), 220{233.
[27] P. D. Liu and Y. M. Wang, Multiple attribute group decision making methods based on
intuitionistic linguistic power generalized aggregation operators, Applied Soft Computing
Journal,17 (2014), 90{104.
[28] P. Liu, Some hamacher aggregation operators based on the interval-valued intuitionistic fuzzy
numbers and their application to group decision making, IEEE Transactions on Fuzzy Sys-
tems, 22 (2014), 83{97.
[29] A. R. Mishra, D. S. Hooda and D. Jain, Weighted trigonometric and hyperbolic fuzzy infor-
mation measures and their applications in optimization principles, International Journal of
Computer and Mathematical Sciences, 03 (2014), 62{68.
[30] A. R. Mishra, D. Jain and D. S. Hooda, Exponential intuitionistic fuzzy information measure
with assessment of service quality, International journal of fuzzy systems, accepted.
[31] H. B. Mitchell, On the Dengfeng-Chuntian similarity measure and its application to pattern
recognition, Pattern Recognition Letters, 24 (2003), 3101{3104.
[32] E. Szmidt and J. Kacprzyk, A concept of similarity for intuitionistic fuzzy sets and its
application in group decision making, In: Proceedings of International Joint Conference on
Neural Networks & IEEE International Conference on Fuzzy Systems, Budapest, Hungary,
(2004), 25{29.
[33] E. Szmidt and J. Kacprzyk, A new concept of a similarity measure for intuitionistic fuzzy
sets and its use in group decision making, In: V. Torra, Y. Narukawa, S. Miyamoto (Eds.),
Modelling Decision for Articial Intelligence, LNAI 3558, Springer, (2005), 272{282.

[34] E. Szmidt and J. Kacprzyk, Entropy for intuitionistic fuzzy sets, Fuzzy Sets and Systems,
118 (2001), 467{477.
[35] I. K. Vlachos and G. D. Sergiadis, Inner product based entropy in the intuitionistic fuzzy
setting, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 14
(2006), 351{366.
[36] I. K. Vlachos and G. D. Sergiadis, Intuitionistic fuzzy information-application to pattern
recognition, Pattern Recognition Letters, 28 (2007), 197{206.
[37] P.Z.Wang, Fuzzy sets and its applications, Shanghai Science and Technology Press, Shanghai,
1983.
[38] X. Z. Wang, B. D. Baets and E. E. Kerre, A comparative study of similarity measures, Fuzzy
Sets and Systems, 73 (1995), 259{268.
[39] C. P. Wei and Y. Zhang, Entropy measures for interval-valued intuitionistic fuzzy sets and
their application in group decision making, Mathematical Problems in Engineering, 2015
(2015), 01{13.
[40] C. P. Wei, P. Wang and Y. Zhang, Entropy, similarity measure of interval-valued intuition-
istic fuzzy sets and their applications, Information Sciences, 181 (2011), 4273{4286.
[41] P. Wei, Z. H. Gao and T. T. Guo, An intuitionistic fuzzy entropy measure based on the
trigonometric function, Control and Decision, 27(2012), 571{574.
[42] G. Wei, X. Zhao and R. Lin, Some hesitant interval-valued fuzzy aggregation operators
and their applications to multiple attribute decision making, Knowledge-Based Systems, 46
(2013), 43{53.
[43] M. M. Xia and Z. S. Xu, Entropy/cross entropy-based group decision making under intu-
itionistic fuzzy environment, Information Fusion, 13 (2012), 31{47.
[44] Z. S. Xu, Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems,
15 (2007), 1179{1187.
[45] Z. S. Xu, On similarity measures of interval-valued intuitionistic fuzzy sets and their appli-
cation to pattern recognitions, Journal of Southeast University(English Edition), 23 (2007),
139{143.
[46] R. R. Yager, On the measure of fuzziness and negation, part I: membership in unit interval,
International Journal of General Systems, 05 (1979), 221{229.
[47] J. Ye, Two eective measures of intuitionistic fuzzy entropy, Computing, 87 (2010), 55{62.
[48] Z. Yue, Extension of TOPSIS to determine weight of decision maker for group decision
making problems with uncertain information, Exp. Syst. Appl., 39 (2012), 6343{6350.
[49] L. A. Zadeh, Fuzzy sets, Information and Computation, 08 (1965), 338{353.
[50] W. Zeng and P. Guo, Normalized distance, similarity measure, inclusion measure and entropy
of interval-valued fuzzy sets and their relationship, Information Sciences, 178 (2008), 1334{
1342.
[51] W. Zeng and H. Li, Inclusion measures, similarity measures, and the fuzziness of fuzzy sets
and their relations, International Journal of Intelligent Systems, 21 (2006), 639{653.
[52] W. Zeng and H. Li, Relationship between similarity measure and entropy of interval valued
fuzzy sets, Fuzzy Sets and Systems, 157 (2006), 1477{1484.
[53] H. Zhang, W. Zhang and C. Mei, Entropy of interval-valued fuzzy sets based on distance and
its relationship with similarity measure, Knowledge-Based Systems, 22 (2009), 449{454.
[54] Q. S. Zhang and S. Y. Jiang, A note on information entropy measures for vague sets and its
applications, Information Sciences, 178 (2008), 4184{4191.