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author:

Wang, Ying-Ming (Wang, Ying-Ming.) [1] | Elhag, Taha M.S. (Elhag, Taha M.S..) [2] | Hua, Zhongsheng (Hua, Zhongsheng.) [3]

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Abstract:

This paper revisits the fuzzy logarithmic least squares method (LLSM) in the analytic hierarchy process and points out its incorrectness in the normalization of local fuzzy weights, infeasibility in deriving the local fuzzy weights of a fuzzy comparison matrix when the lower bound value of a non-normalized fuzzy weight turns out to be greater than its upper bound value, uncertainty of local fuzzy weights for incomplete fuzzy comparison matrices, and unreality of global fuzzy weights. A modified fuzzy LLSM, which is formulated as a constrained nonlinear optimization model, is therefore suggested to tackle all these problems. A numerical example is examined to show the applicability of the modified fuzzy LLSM and its advantages. © 2006 Elsevier B.V. All rights reserved.

Keyword:

Algorithms Fuzzy sets Least squares approximations Matrix algebra Nonlinear programming Numerical analysis Optimization Problem solving

Community:

  • [ 1 ] [Wang, Ying-Ming]School of Public Administration, Fuzhou University, Fuzhou, 350002, China
  • [ 2 ] [Elhag, Taha M.S.]School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, PO Box 88, Manchester, M60 1QD, United Kingdom
  • [ 3 ] [Hua, Zhongsheng]School of Management, University of Science and Technology of China, Hefei, 230026, China

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Source :

Fuzzy Sets and Systems

ISSN: 0165-0114

Year: 2006

Issue: 23

Volume: 157

Page: 3055-3071

1 . 1 8 1

JCR@2006

3 . 2 0 0

JCR@2023

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 202

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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