TOPSIS Method for Multiple Attribute Decision Making Problem in Intuitionistic Fuzzy Setting

Article Preview

Abstract:

This paper is concerned with a TOPSIS method for fuzzy multiple attribute decision making, in which the information about attribute weights is completely known and the attribute values take form of intuitionistic fuzzy numbers. A class of distance for describing the deviation degrees between intuitionistic fuzzy sets is used to measure difference between two alternatives. A model of TOPSIS is designed with the introduction of the particular closeness coefficient composed of similarity degrees. Then, we apply the TOPSIS method to aggregate the fuzzy information corresponding to each alternative, and rank the alternatives according to their closeness coefficients. Finally, a numerical example is given to show the feasibility and effectiveness of the method.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1888-1891

Citation:

Online since:

September 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] R. Bellamn, L.A. Zadeh. Decision making in a fuzzy environment [J], Management Science, 1970 17B (4) 141-164.

Google Scholar

[2] C.L. Hwang, K. Yoon. Multiple Attribute Decision Making: Methods and Applications [M], Springer-Verlag, Berlin, (1981).

Google Scholar

[3] S. -M. Chen, L. -W. Lee, H. -C. Liu, S. -W Yang. Multiattribute decision making based on interval-valued intuitionistic fuzzy values [J]. Expert Systems with Applications, 2012 39 10343–10351.

DOI: 10.1016/j.eswa.2012.01.027

Google Scholar

[4] G. Wei, X. Zhao. Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision makin [J]. Expert Systems with Applications, 2012 39 2026–(2034).

DOI: 10.1016/j.eswa.2011.08.031

Google Scholar

[5] C.T. Chen, Extensions of the TOPSIS for group decision-making under fuzzy environment [J]. Fuzzy Sets and Systems, 2000 114 1-9.

DOI: 10.1016/s0165-0114(97)00377-1

Google Scholar

[6] G.R. Jahanshahloo, F. Hosseinzadeh Lotfi, M. Izadikhah, Extension of the TOPSIS method for decision-making with fuzzy data [J]. Applied Mathematics and Computation, 2006 181 1544-1551.

DOI: 10.1016/j.amc.2006.02.057

Google Scholar

[7] I. Mahdavi, N. Mahdavi-Amiri, A. Heidarzade, R. Nourifar, Designing a model of fuzzy TOPSIS in multiple criteria decision making [J]. Applied Mathematics and Computation, 2008 206 607-617.

DOI: 10.1016/j.amc.2008.05.047

Google Scholar

[8] W. Wang, X. Xin, Distance measure between intuitionistic fuzzy sets [J]. Pattern Recognition Letters, 2005 26 2063-(2069).

DOI: 10.1016/j.patrec.2005.03.018

Google Scholar

[9] K. Atanassov. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986 (1) 87–96.

DOI: 10.1016/s0165-0114(86)80034-3

Google Scholar