Fuzzy Sets and Systems
Fuzzy entropy and conditioning
Information Sciences: an International Journal
Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
More on intuitionistic fuzzy sets
Fuzzy Sets and Systems
Fuzzification of set inclusion: theory and applications
Fuzzy Sets and Systems
New operations defined over the intuitionistic fuzzy sets
Fuzzy Sets and Systems
Operators over interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Fuzzy Sets and Systems
Vague sets are intuitionistic fuzzy sets
Fuzzy Sets and Systems
Fuzzy engineering
A note on fuzzy information measures
Pattern Recognition Letters
Subsethood measure: new definitions
Fuzzy Sets and Systems
Distances between intuitionistic fuzzy sets
Fuzzy Sets and Systems
Entropy for intuitionistic fuzzy sets
Fuzzy Sets and Systems
On the relationship between some extensions of fuzzy set theory
Fuzzy Sets and Systems - Theme: Basic notions
Sinha-Dougherty approach to the fuzzification of set inclusion revisited
Fuzzy Sets and Systems - Implication operators
A note on entropy of intuitionistic fuzzy sets
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Relationship between similarity measure and entropy of interval valued fuzzy sets
Fuzzy Sets and Systems
Uncertainty measures for interval type-2 fuzzy sets
Information Sciences: an International Journal
Fuzzy filter based on interval-valued fuzzy sets for image filtering
Fuzzy Sets and Systems
Computing with words for hierarchical decision making applied to evaluating a weapon system
IEEE Transactions on Fuzzy Systems - Special section on computing with words
Determining objective weights with intuitionistic fuzzy entropy measures: A comparative analysis
Information Sciences: an International Journal
Some information measures for interval-valued intuitionistic fuzzy sets
Information Sciences: an International Journal
On possible and necessary inclusion of intuitionistic fuzzy sets
Information Sciences: an International Journal
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets
Information Sciences: an International Journal
A reconstruction decoder for computing with words
Information Sciences: an International Journal
Uncertainty degree and modeling of interval type-2 fuzzy sets: Definition, method and application
Computers & Mathematics with Applications
Soft computing-based preference selection index method for human resource management
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In this paper a unified formulation of subsethood, entropy, and cardinality for interval-valued fuzzy sets (IVFSs) is presented. An axiomatic skeleton for subsethood measures in the interval-valued fuzzy setting is proposed, in order for subsethood to reduce to an entropy measure. By exploiting the equivalence between the structures of IVFSs and Atanassov's intuitionistic fuzzy sets (A-IFSs), the notion of average possible cardinality is presented and its connection to least and biggest cardinalities, proposed in [E. Szmidt, J. Kacprzyk, Entropy for intuitionistic fuzzy sets, Fuzzy Sets and Systems 118 (2001) 467-477], is established both algebraically and geometrically. A relation with the cardinality of fuzzy sets (FSs) is also demonstrated. Moreover, the entropy-subsethood and interval-valued fuzzy entropy theorems are stated and algebraically proved, which generalize the work of Kosko [Fuzzy entropy and conditioning, Inform. Sci. 40(2) (1986) 165-174; Fuzziness vs. probability, International Journal of General Systems 17(2-3) (1990) 211-240; Neural Networks and Fuzzy Systems, Prentice-Hall International, Englewood Cliffs, NJ, 1992; Intuitionistic Fuzzy Sets: Theory and Applications, Vol. 35 of Studies in Fuzziness and Soft Computing, Physica-Verlag, Heidelberg, 1999] for FSs. Finally, connections of the proposed subsethood and entropy measures for IVFSs with corresponding definitions for FSs and A-IFSs are provided.