Method of Multi-Attribute Decision Making for Interval-Valued Intuitionistic Fuzzy Sets Based on Mentality Function

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This paper has summarized the current ranking method for interval-valued intuitionistic fuzzy numbers, and then through the introduction of decision-makers’ mentality indicator, presented a new ranking method for interval-valued intuitionistic fuzzy numbers based on mentality function. Not only the nature of mentality function is deeply discussed but also the decision-making model based on the interval-valued intuitionistic fuzzy numbers is constructed. At last, an example is illustrated to prove the model's accuracy and effectiveness.

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1075-1079

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December 2010

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] A tanassov K, Gargov G. Interval-valued intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems, 1989: 31(3): 343-349.

DOI: 10.1016/0165-0114(89)90205-4

Google Scholar

[2] Mondal T K, Samanta S K. Topology of interval-valued Intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems, 2001, 119(3): 483-494.

DOI: 10.1016/s0165-0114(98)00436-9

Google Scholar

[3] Z.S. Xu, J. Chen, An overview of distance and similarity measures of intuitionistic fuzzy sets [J]. International of Uncertainty, Fuzziness and Knowledge-based Systerms, 2008, in press.

DOI: 10.1142/s0218488508005406

Google Scholar

[4] Z.S. Xu, on similarity measures of interval-valued intuitionistic fuzzy sets and their application to pattern recognitions, Jounals of Southeast University(English Edition) , Vol. 23, No. 1 , 139-143, (2007).

Google Scholar

[5] Deschrijver G, KerreE E. On the relationship between some extensions of fuzzy set theory [J]. Fuzzy sets and Systems, 2003, 133(2): 227-235.

DOI: 10.1016/s0165-0114(02)00127-6

Google Scholar

[6] Wei G W, Lan G. Grey relational analysis method for interval-valued intuitionistic fuzzy multiple attribute decision making[C]. Fifth International Conference on Fuzzy Systems and Knowledge Discovery, Jinan, China, 2008: 291-295.

DOI: 10.1109/fskd.2008.581

Google Scholar

[7] Z.S. Xu and J. Chen, An approach to group decision making based on interval-valued intuitionistic judgment matrices, Systems Engineering – Theory and Practice 27 (4) (2007), p.126–133.

DOI: 10.1016/s1874-8651(08)60026-5

Google Scholar

[8] WEI C P, XIA M M, ZHANG Y Z. Multi-criteria decision-making methods based on interval-valued intuitionistic fuzzy sets [J]. Control and Decision, 2009, 24(8): 1230-1234.

DOI: 10.1007/978-981-15-1521-7_3

Google Scholar

[9] HU Z C. Computational Method[M]. BEI-JING: Advanced Education Press, (1959).

Google Scholar

[10] Z.S. Xu, Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making[J]. Control and decision, Vol. 22, No. 2, 215-219, (2007).

DOI: 10.1007/978-981-15-1521-7_5

Google Scholar