Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
A note on the internal consistency of various preference representations
Fuzzy Sets and Systems - Special issue: Soft decision analysis
On Compatibility of Interval Fuzzy Preference Relations
Fuzzy Optimization and Decision Making
A Procedure for Decision Making Based on Incomplete Fuzzy Preference Relation
Fuzzy Optimization and Decision Making
International Journal of Intelligent Systems
A consistency-based procedure to estimate missing pairwise preference values
International Journal of Intelligent Systems
IEEE Transactions on Fuzzy Systems
A method for repairing the inconsistency of fuzzy preference relations
Fuzzy Sets and Systems
Fuzzy preference based rough sets
Information Sciences: an International Journal
Group Decision-Making Model With Incomplete Fuzzy Preference Relations Based on Additive Consistency
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
MAGDM Linear-Programming Models With Distinct Uncertain Preference Structures
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A consensus model for multiperson decision making with different preference structures
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
A new method of obtaining the priority weights from an interval fuzzy preference relation
Information Sciences: an International Journal
Deriving interval weights from an interval multiplicative consistent fuzzy preference relation
Knowledge-Based Systems
Fuzzy logic-based generalized decision theory with imperfect information
Information Sciences: an International Journal
A linguistic evaluation approach for universal design
Information Sciences: an International Journal
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Interval-valued hesitant preference relations and their applications to group decision making
Knowledge-Based Systems
Information Sciences: an International Journal
Ordering based decision making - A survey
Information Fusion
Computers and Industrial Engineering
Information Sciences: an International Journal
Incomplete interval fuzzy preference relations and their applications
Computers and Industrial Engineering
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In this paper, the concept of multiplicative transitivity of a fuzzy preference relation, as defined by Tanino [T. Tanino, Fuzzy preference orderings in group decision-making, Fuzzy Sets and Systems 12 (1984) 117-131], is extended to discover whether an interval fuzzy preference relation is consistent or not, and to derive the priority vector of a consistent interval fuzzy preference relation. We achieve this by introducing the concept of interval multiplicative transitivity of an interval fuzzy preference relation and show that, by solving numerical examples, the test of consistency and the weights derived by the simple formulas based on the interval multiplicative transitivity produce the same results as those of linear programming models proposed by Xu and Chen [Z.S. Xu, J. Chen, Some models for deriving the priority weights from interval fuzzy preference relations, European Journal of Operational Research 184 (2008) 266-280]. In addition, by taking advantage of interval multiplicative transitivity of an interval fuzzy preference relation, we put forward two approaches to estimate missing value(s) of an incomplete interval fuzzy preference relation, and present numerical examples to illustrate these two approaches.