Interval valued intuitionistic fuzzy sets
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
Entropy for intuitionistic fuzzy sets
Fuzzy Sets and Systems
Fuzzy Sets and Systems
A general model for transforming vague sets into fuzzy sets
Transactions on computational science II
A vague-rough set approach for uncertain knowledge acquisition
Knowledge-Based Systems
Possibility mean, variance and covariance of triangular intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Vague set, as well as intuitionistic fuzzy set, is a further generalization of fuzzy set. Instead of using point-based membership in fuzzy set, interval-based membership is used in vague set. As a result, vague set has more powerful ability to process fuzzy information than fuzzy set in some degree. By exploring the uncertainty of vague set, the disadvantages of existing methods for measuring fuzziness of vague set are analyzed. In order to overcome these disadvantages in existing measuring methods and better characterize uncertainty of vague set, the concept of fuzziness interval of vague set is defined and a new measuring method, average fuzziness is proposed based on integral calculus method. Accordingly, the proposed method is compared with the existing methods in property, which shows the accuracy of measuring fuzziness of vague set is better than the other methods. Whereas the advantages of the average fuzziness of a vague set, the method of transforming vague set into fuzzy set is proposed and discussed.