A new solution of multiplicative consistency for incomplete fuzzy preference relation for group decision making

Author

Shilian Han ; Xinwang Liu

Author_Institution

Sch. of Marketing & Logistics, Nanjing Univ. of Finance & Econ., Nanjing, China

fYear

2013

fDate

23-25 July 2013

Firstpage

256

Lastpage

261

Abstract

This paper studies the group decision making problem with incomplete multiplicatively consistent fuzzy preference relations. A sufficient and necessary condition about multiplicative consistency is proposed. Least square completion and inconsistency repair methods are developed to deal with incomplete and inconsistent fuzzy preference relations. A new method based on multiplicative consistency to solve the group decision making problem with incomplete and inconsistent fuzzy preference relations is presented. A numerical example is used to illustrate the proposed methods.

Keywords

decision making; fuzzy set theory; least squares approximations; group decision making problem; incomplete multiplicatively consistent fuzzy preference relations; inconsistency repair methods; inconsistent fuzzy preference relations; least square completion; multiplicative consistency; Decision making; Educational institutions; Indexes; Maintenance engineering; Optimization; Silicon; Vectors; Fuzzy preference relation; Group decision making (GDM); Incomplete information; Multiplicatively Consistent;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery (FSKD), 2013 10th International Conference on

Conference_Location

Shenyang

Type

conf

DOI

10.1109/FSKD.2013.6816203

Filename

6816203