Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
Entropy, distance measure and similarity measure of fuzzy sets and their relations
Fuzzy Sets and Systems
Some new information measures for fuzzy sets
Information Sciences: an International Journal
Addition as fuzzy mutual entropy
Information Sciences: an International Journal
Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Fuzzy Sets and Systems
A note on fuzzy information measures
Pattern Recognition Letters
Distances between intuitionistic fuzzy sets
Fuzzy Sets and Systems
Entropy for intuitionistic fuzzy sets
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Some new fuzzy entropy formulas
Fuzzy Sets and Systems
New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions
Pattern Recognition Letters
Similarity measures on intuitionistic fuzzy sets
Pattern Recognition Letters
On the Dengfeng-Chuntian similarity measure and its application to pattern recognition
Pattern Recognition Letters
Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance
Pattern Recognition Letters
Intuitionistic fuzzy information - Applications to pattern recognition
Pattern Recognition Letters
Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis
Pattern Recognition Letters
Similarity measures of intuitionistic fuzzy sets based on L p metric
International Journal of Approximate Reasoning
Information Sciences: an International Journal
On the J-divergence of intuitionistic fuzzy sets with its application to pattern recognition
Information Sciences: an International Journal
On similarity measures between intuitionistic fuzzy sets
International Journal of Intelligent Systems
Information Sciences: an International Journal
Fractional programming methodology for multi-attribute group decision-making using IFS
Applied Soft Computing
On similarity and inclusion measures between type-2 fuzzy sets with an application to clustering
Computers & Mathematics with Applications
Fuzzy Optimization and Decision Making
Expert Systems with Applications: An International Journal
Generalized rough sets, entropy, and image ambiguity measures
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
Relationship between similarity measure and entropy of interval valued fuzzy sets
Fuzzy Sets and Systems
Remarks on basics of fuzzy sets and fuzzy multisets
Fuzzy Sets and Systems
International Journal of Intelligent Systems
Some information measures for interval-valued intuitionistic fuzzy sets
Information Sciences: an International Journal
Relationships between entropy and similarity measure of interval-valued intuitionistic fuzzy sets
International Journal of Intelligent Systems
An approach to solve group-decision-making problems with ordinal interval numbers
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Hesitant fuzzy information aggregation in decision making
International Journal of Approximate Reasoning
Distance and similarity measures for hesitant fuzzy sets
Information Sciences: an International Journal
On distance and correlation measures of hesitant fuzzy information
International Journal of Intelligent Systems
MAGDM Linear-Programming Models With Distinct Uncertain Preference Structures
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Cross-Entropy Optimization of Control Policies With Adaptive Basis Functions
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Intuitionistic Fuzzy Bonferroni Means
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Divergence measures based on the Shannon entropy
IEEE Transactions on Information Theory
Interval-valued hesitant preference relations and their applications to group decision making
Knowledge-Based Systems
Application of decision-making techniques in supplier selection: A systematic review of literature
Expert Systems with Applications: An International Journal
Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets
Information Sciences: an International Journal
Group decision making under hesitant fuzzy environment with application to personnel evaluation
Knowledge-Based Systems
Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms
Information Sciences: an International Journal
A VIKOR-based method for hesitant fuzzy multi-criteria decision making
Fuzzy Optimization and Decision Making
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We introduce the concepts of entropy and cross-entropy for hesitant fuzzy information, and discuss their desirable properties. Several measure formulas are further developed, and the relationships among the proposed entropy, cross-entropy, and similarity measures are analyzed, from which we can find that three measures are interchangeable under certain conditions. Then we develop two multiattribute decision-making methods in which the attribute values are given in the form of hesitant fuzzy sets reflecting humans' hesitant thinking comprehensively. In one method, the weight vector is determined by the hesitant fuzzy entropy measure, and the optimal alternative is obtained by comparing the hesitant fuzzy cross-entropies between the alternatives and the ideal solutions; in another method, the weight vector is derived from the maximizing deviation method and the optimal alternative is obtained by using the TOPSIS method. An actual example is provided to compare our methods with the existing ones. © 2012 Wiley Periodicals, Inc. © 2012 Wiley Periodicals, Inc.