Determining appropriate weight for criteria in multi criteria group decision making problems using an Lp model and similarity measure

[1] M. Arefi, S. M. Taheri, Weighted similarity measure on interval-valued fuzzy sets and its application to pattern recognition,
Iranian Journal of Fuzzy Systems, 11(5) (2014), 67{79.
[2] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1) (1986), 87{96.
[3] R. Benayoun, B. Roy, N. Sussman, Manual de Reference du Programme Electre, Note de Synthese et Formation, No. 25,
Direction Scientifique SEMA, Paris, France, 1966.
[4] Y. X. Cao, H. Zhou, J. Q. Wang, An approach to interval-valued intuitionistic stochastic multi-criteria decision-making using
set pair analysis, International Journal of Machine Learning and Cybernetics, 9(4) (2018), 629{640.
[5] T. Y. Chen, An ELECTRE-based outranking method for multiple criteria group decision making using interval type-2 fuzzy
sets, Information Sciences, 263 (2014), 1{21.
[6] S. M. Chen, S. H. Cheng, C. H. Chiou, Fuzzy multi attribute group decision making based on intuitionistic fuzzy sets and
evidential reasoning methodology, Information Fusion, 27 (2016), 215{227.
[7] S. M. Chen, J. M. Tan,Handling multicriteria fuzzy decision making problems based on vague set theory, Fuzzy Sets and
Systems, 67(2) (1994), 163{172.
[8] J. Figueira, V. Mousseau, B. Roy, Multiple Criteria Decision Analysis: State of the Art Surveys, Springer, New York, USA,
2005.
[9] A. A. Goshtasby, Similarity and Dissimilarity Measures, In: Image Registration. Advances in Computer Vision and Pattern
Recognition, Springer, London, 2012.
[10] S. S. Hashemi, S. H. Razavi Hajiagha, E. K. Zavadskas, H. Amoozad Mahdiraji, Multi criteria group decision making with
ELECTRE III method based on interval-valued intuitionistic fuzzy information, Applied Mathematical Modelling, 40 (2016),
1554{1564.
[11] D. H. Hong, C. H. Choi, Multicriteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems,
114(1) (2000), 103{113.
[12] X. Li, X. Chen, Multi-criteria group decision making based on trapezoidal intuitionistic fuzzy information, Applied Soft
Computing, 30 (2015), 454{461.
[13] W. Li, W. Cui, Y. Chen, Y. Fu, A Group Decision-making Model for Multi-criteria Supplier Selection in the Presence of
Ordinal Data, IEEE International Conference on Service Operations and Logistics, and Informatics, 2 (2008), 1686{1690.
[14] R .X. Liang, J. Q. Wang, H. Y. Zhang, Projection-Based PROMETHEE Methods Based on Hesitant Fuzzy Linguistic Term
Sets, International Journal of Fuzzy Systems, 20(7) (2017), 1{14.
[15] H. W. Liu, New similarity measures between intuitionistic fuzzy sets and between elements, Mathematical and Computer
Modelling, 42(1{2) (2005), 61{70.
[16] S. M. Mousavi, B. Vahdani, S. Sadeghi Behzadi, Designing a model of intuitionistic fuzzy vikor in multi-attribute group
decision-making problems, Iranian Journal of Fuzzy Systems, 13(1) (2016), 45{65.
[17] S. Mukherjee, K. Basu, Solution of a class of intuitionistic fuzzy assignment problem by using similarity measures,Knowledge-
Based Systems, 27 (2012), 170{179.
[18] J. J. Peng, J. Q. Wang, J. Wang, L. J. Yang, X. H. Chen, An extension of ELECTRE to multi- criteria decision-making
problems with multi-hesitant fuzzy sets, Information Sciences, 307 (2015), 113{126 .

[19] T. Rashid, S. Faizi, Z. Xu, S. Zafar, ELECTRE-Based Outranking Method for Multi-criteria Decision Making Using Hesitant
Intuitionistic Fuzzy Linguistic Term Sets, International Journal of Fuzzy Systems, 20(1) (2018), 78{92.
[20] M. Rogers, M. Bruen, Choosing realistic values of indifference, preference and veto thresholds for use with environmental
criteria within ELECTRE, European Journal of Operational Research, 107 (1998), 542{551.
[21] P. Sevastjanov, L. Dymova, Generalised operations on hesitant fuzzy values in the framework of Dempster-Shafer theory,
Information Sciences, 311 (2015), 39{58.
[22] M. R. Shahriari, Soft computing based on a modied MCDM approach under intuitionistic fuzzy sets, Iranian Journal of
Fuzzy Systems, 14(1) (2017), 23{41.
[23] F. Shen, J. Xu, Z. Xu, An automatic ranking approach for multi-criteria group decision making under intuitionistic fuzzy
environment, Fuzzy Optimization and Decision Making, 14 (2015), 311{334.
[24] F. Shen, J. Xu, Z. Xu, An outranking sorting method for multi-criteria group decision making using intuitionistic fuzzy sets,
Information Sciences, 334{335 (2016), 338{353.
[25] S. K. Singh, S. P. Yadav, Fuzzy Programming Approach for Solving Intuitionistic Fuzzy Linear Fractional Programming
Problem, International Journal of Fuzzy Systems, 18(2) (2016), 263{269 .
[26] A. Van Delft, P. Nijkamp, A Multi-Objective Decision Making Model For Regional Development, Environmental Quality
Control and Industrial Lead Use, Papers in Regional Science, 36(1) (1976), 35{58.
[27] Y. M. Wang, Y. Luo, On rank reversal in decision analysis, Mathematical and Computer Modelling, 49 (2009), 1221{1229.
[28] J. Q. Wang, J. J. Peng, H. Y. Zhang, X. H. Chen, Outranking approach for multi-criteria decision-making problems with
hesitant interval-valued fuzzy sets, Soft Computing, 23(2) (2017), 1{12.
[29] J. Q. Wang, J. Wang, Q. H. Chen, H. Y. Zhang, X. H. Chen, An outranking approach for multi-criteria decision-making
with hesitant fuzzy linguistic term sets, Information Sciences, 280 (2014), 338{351.
[30] Z. Wu, J. Ahmad, J. Xu, A group decision making framework based on fuzzy VIKOR approach for machine tool selection
with linguistic information, Applied Soft Computing, 42 (2016), 314{324.
[31] S. Xian, W. Sun, S. Xu, Y. Gao, Fuzzy linguistic induced OWA Minkowski distance operator and its application in group
decision making, Pattern Analysis and Applications, 19 (2016), 325{335.
[32] Z. S. Xu, Intuitionistic fuzzy aggregation and clustering, Springer, Berlin, Heidelberg, 2013.
[33] Z. S. Xu, R. R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets, International Journal of
General Systems, 35(4) (2006), 417{433.
[34] J. Ye, Multicriteria group decision-Making method using vector similarity measures for trapezoidal intuitionistic fuzzy num-
bers, Group Decision and Negotiation, 21 (2012), 519{530.
[35] Z. L. Yue, Approach to group decision making based on determining the weights of experts by using projection method, Applied
Mathematical Modelling, 36 (2012), 2900{2910.
[36] L. A. Zadeh, Fuzzy sets, Information and Control, 8(3) (1965), 338{353.
[37] Z. Zhang, Hesitant Fuzzy Multi-Criteria Group Decision Making with Unknown Weight Information, Int. J. Fuzzy. Syst.,
19(3) (2017), 615{636.
[38] H. Y. Zhang, H. G. Peng, J.Wang, J. Q.Wang, An extended outranking approach for multi-criteria decision-making problems
with linguistic intuitionistic fuzzy numbers, Applied Soft Computing, 59 (2017), 462{474.
[39] L. Zhang, X. Xu, L. Tao, Some similarity measures for triangular fuzzy number and their applications in multiple criteria
group decision-making, Journal of Applied Mathematics, 2013 (2013), Article ID 538261, 1{7.
[40] H. Zhou, J. Q. Wang, H. Y. Zhang, Stochastic multicriteria decision-making approach based on SMAA{ELECTRE with
extended gray numbers, International Transactions in Operational Research, to apear.