Approach to group decision making based on the incomplete interval fuzzy number complementary judgment matrices

Author

Gong, Zaiwu ; Cui, Weijun

Author_Institution

Coll. of Econ. & Manage., Nanjing Univ. of Inf. Sci. & Technol., Nanjing

fYear

2008

fDate

1-6 June 2008

Firstpage

650

Lastpage

654

Abstract

The priority problem of the interval fuzzy number complementary judgment matrices with incomplete information is investigated. Transformation relation between the interval fuzzy number reciprocal judgment matrix and the interval fuzzy number complementary judgment matrix is set up. The concept of additive consistency for the fuzzy number complementary judgment matrix is introduced. A least-square approach to group decision making based on the incomplete interval fuzzy number complementary judgment matrices is proposed, of which the existence condition of the solution is studied. Finally, it is illustrated by a numerical example that this method is feasible and effective.

Keywords

decision making; fuzzy set theory; least squares approximations; matrix algebra; additive consistency; group decision making; interval fuzzy number complementary judgment matrices; transformation relation; Decision making; Fuzzy sets; Humans; Information science; Technology management; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on

Conference_Location

Hong Kong

ISSN

1098-7584

Print_ISBN

978-1-4244-1818-3

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2008.4630438

Filename

4630438