Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations
作者： Zhou-Jing Wang
DOI: 10.1016/J.APM.2013.01.021
关键词: Preference relation 、 Weight 、 Discrete mathematics 、 Fuzzy classification 、 Algebra 、 Fuzzy number 、 Type-2 fuzzy sets and systems 、 Transitive relation 、 Mathematics 、 Preference (economics) 、 Fuzzy set operations
摘要: This paper proposes linear goal programming models for deriving intuitionistic fuzzy weights from preference relations. Novel definitions are put forward to define additive consistency and weak transitivity relations, followed by a study of their corresponding properties. For any given normalized weight vector, transformation formula is furnished convert the into consistent relation. relation, model developed obtain its minimizing deviation converted approach then extended group decision-making situations. Three numerical examples provided illustrate validity applicability proposed models.
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