Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations
Applied Mathematical ModellingPublished 21 January 2013
Zhou-Jing Wang
Citations138
SJR quartileQ1
SJR score1.13
SNIP1.72
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TL;DR
This paper proposes linear goal programming models for deriving intuitionism fuzzy weights from intuitionistic fuzzy preference relations, and three numerical examples are provided to illustrate the validity and applicability of the proposed models.
Abstract
This paper proposes linear goal programming models for deriving intuitionistic fuzzy weights from intuitionistic fuzzy preference relations. Novel definitions are put forward to define additive consistency and weak transitivity for intuitionistic fuzzy preference relations, followed by a study of their corresponding properties. For any given normalized intuitionistic fuzzy weight vector, a transformation formula is furnished to convert the weights into a consistent intuitionistic fuzzy preference relation. For any intuitionistic fuzzy preference relation, a linear goal programming model is developed to obtain its intuitionistic fuzzy weights by minimizing its deviation from the converted consistent intuitionistic fuzzy preference relation. This approach is then extended to group decision-making situations. Three numerical examples are provided to illustrate the validity and applicability of the proposed models.
Keywords
Decision SciencesEngineering
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