Element selection for intuitionistic fuzzy sets
International Journal of Knowledge Engineering and Soft Data Paradigms
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
Hesitant fuzzy prioritized operators and their application to multiple attribute decision making
Knowledge-Based Systems
Hesitant fuzzy geometric Bonferroni means
Information Sciences: an International Journal
Information Sciences: an International Journal
Ranking multi-attribute alternatives on the basis of linguistic labels in group decisions
Information Sciences: an International Journal
Hesitant fuzzy entropy and cross-entropy and their use in multiattribute decision-making
International Journal of Intelligent Systems
Interval-valued hesitant preference relations and their applications to group decision making
Knowledge-Based Systems
Generalized hesitant fuzzy sets and their application in decision support system
Knowledge-Based Systems
Fuzzy decision making based on hesitant fuzzy linguistic term sets
ACIIDS'13 Proceedings of the 5th Asian conference on Intelligent Information and Database Systems - Volume Part I
Information Sciences: an International Journal
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
Information Sciences: an International Journal
Ordering based decision making - A survey
Information Fusion
Residual implications on the set of discrete fuzzy numbers
Information Sciences: an International Journal
Group decision making under hesitant fuzzy environment with application to personnel evaluation
Knowledge-Based Systems
Data Mining Approaches for Geo-Spatial Big Data: Uncertainty Issues
International Journal of Organizational and Collective Intelligence
Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Distance and similarity measures for higher order hesitant fuzzy sets
Knowledge-Based Systems
Information Sciences: an International Journal
A new linguistic computational model based on discrete fuzzy numbers for computing with words
Information Sciences: an International Journal
Computers and Industrial Engineering
A VIKOR-based method for hesitant fuzzy multi-criteria decision making
Fuzzy Optimization and Decision Making
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Some results for dual hesitant fuzzy sets
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A valuation-based method for ranking the intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Approaches to hesitant fuzzy multiple attribute decision making with incomplete weight information
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A multiple criteria hesitant fuzzy decision making with Shapley value-based VIKOR method
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Hesitant triangular fuzzy information aggregation in multiple attribute decision making
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Several extensions and generalizations of fuzzy sets have been introduced in the literature, for example, Atanassov's intuitionistic fuzzy sets, type 2 fuzzy sets, and fuzzy multisets. In this paper, we propose hesitant fuzzy sets. Although from a formal point of view, they can be seen as fuzzy multisets, we will show that their interpretation differs from the two existing approaches for fuzzy multisets. Because of this, together with their definition, we also introduce some basic operations. In addition, we also study their relationship with intuitionistic fuzzy sets. We prove that the envelope of the hesitant fuzzy sets is an intuitionistic fuzzy set. We prove also that the operations we propose are consistent with the ones of intuitionistic fuzzy sets when applied to the envelope of the hesitant fuzzy sets. © 2010 Wiley Periodicals, Inc.