Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets
Journal of Computer and System Sciences
Intuitionistic preference relations and their application in group decision making
Information Sciences: an International Journal
Fuzzy preference relations: Aggregation and weight determination
Computers and Industrial Engineering
Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP
Information Sciences: an International Journal
International Journal of Approximate Reasoning
Fractional programming methodology for multi-attribute group decision-making using IFS
Applied Soft Computing
Expert Systems with Applications: An International Journal
QoS-aware web services selection with intuitionistic fuzzy set under consumer's vague perception
Expert Systems with Applications: An International Journal
Expert Systems with Applications: An International Journal
Fuzzy Sets and Systems
A fuzzy extension of Saaty's priority theory
Fuzzy Sets and Systems
A method for repairing the inconsistency of fuzzy preference relations
Fuzzy Sets and Systems
Intuitionistic Fuzzy Sets: Theory and Applications
Intuitionistic Fuzzy Sets: Theory and Applications
General IF-sets with triangular norms and their applications to group decision making
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Computers and Industrial Engineering
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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This paper proposes a least squares method and a goal programming method to get the priority of the intuitionistic fuzzy preference relation (IFPR). The relation between the IFPR and the interval fuzzy number preference relation (IFNPR) is established by splitting the IFPR into the membership degree interval judgment matrix and the non-membership degree interval judgment matrix. Considering the fact that the priority method must be based on the consistent condition, we propose the additive consistent conditions of the IFPR according to that of the IFNPR. However, in real-life decision situations, such consistent conditions are hard to be satisfied. For deriving the priority vector of the IFPR, the least squares model and the goal programming model are put forward. It is also shown that the same methods apply to the circumstance of group decision making. The numerical examples are provided to show that the methods proposed are valid, and the case study of selecting industries with higher meteorological sensitivity by using the intuitionistic fuzzy hierarchic structure model is given to show that the methods proposed are practical.