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author:

Wang, Y.-M. (Wang, Y.-M..) [1] | Fan, Z.-P. (Fan, Z.-P..) [2]

Indexed by:

Scopus

Abstract:

Logarithmic and geometric least squares methods (LLSM and GLSM) are, respectively, applied to deal with the group decision analysis problems with fuzzy preference relations, where multiplicative preference relations, if any, are transformed into fuzzy preference relations through proper transformation technique. Distance between any two fuzzy preference relations and the average distance from one fuzzy preference relation to all the others are defined and used to measure the relative importance of each fuzzy preference relation. A numerical example involving multiple fuzzy and multiplicative preference relations is examined using the proposed methods. It is shown that LLSM and GLSM provide two analytical and effective ways of modelling multiple fuzzy preference relations. © 2007 Elsevier Inc. All rights reserved.

Keyword:

Distance; Fuzzy preference relation; Geometric least squares method; Logarithmic least squares method; Multiplicative preference relation

Community:

  • [ 1 ] [Wang, Y.-M.]Institute of Soft Science, Fuzhou University, Fuzhou, 350002, China
  • [ 2 ] [Fan, Z.-P.]School of Business Administration, Northeastern University, Shenyan, 110004, China

Reprint 's Address:

  • [Wang, Y.-M.]Institute of Soft Science, Fuzhou University, Fuzhou, 350002, China

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Source :

Applied Mathematics and Computation

ISSN: 0096-3003

Year: 2007

Issue: 1

Volume: 194

Page: 108-119

0 . 8 2 1

JCR@2007

3 . 5 0 0

JCR@2023

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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