Authors: S Meysam Mousavi Behnam Vahdani R TavakkoliMoghaddam S Ebrahimnejad M Amiri
Publish Date: 2012/04/06
Volume: 64, Issue: 9-12, Pages: 1263-1273
Abstract
This paper presents a multistage decisionmaking process for multiple attributes analysis under an intervalvalued fuzzy environment The proposed method does not demand weights of conflicting attributes through the decisionmaking process under uncertainty The performance ratings of potential alternatives with respect to selected conflicting attributes are first described by linguistic terms and then are represented as intervalvalued triangular fuzzy numbers Second an outranking matrix is proposed to denote the frequency with which one potential alternative dominates all the other alternatives according to each selected attribute Consequently the outranking matrix is triangularized in order to provide an implicit preordering or provisional order of potential alternatives under uncertainty Finally the tentative order of alternatives undergoes different operations of the screening and balancing that requires sequential application of a balancing principle to the advantages–disadvantages table It hybridizes the conflicting attributes with the pairwise comparisons of the potential alternatives for the multiple attributes analysis Furthermore an application example is used for the decisionmaking in a selection problem to illustrate the feasibility and applicability of proposed method in an intervalvalued fuzzy environmentIf ∈ + − × ÷ then N cdot Mleft x cdot y right = left N x cdot M y N x + cdot M y + right for a positive nonfuzzy number v v cdot Mleft x cdot y right = left v cdot M y v cdot M y + right
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