Malaysian Journal of Mathematical Sciences, May 2016, Vol. 10, No. 2
Generalized Entropy for Intuitionistic Fuzzy Sets
Priti Gupta, H. D. Arora, and Pratiksha Tiwari
Corresponding Email: hdarora@amity.edu
Received date: -
Accepted date: -
Abstract:
Information theory was introduced by Shannon in 1948 and it includes the study of uncertainty measures. Analogous to information theory
which is founded on probability theory, notion of fuzzy sets was established by Zadeh in 1965 which is a mechanism to manage uncertainty.
The pedestal for present study is information theory with intuitionistic fuzzy sets. Atanassov (1986) devised Intuitionistic fuzzy sets which is
an expedient devise to deal vagueness and uncertainty. In present study, we extended the fuzzy entropy proved by Gupta et al.(2014) and then generalized it for intuitionistic fuzzy sets with axiomatic justification and presented importance of parameter $\alpha$. Further, some properties of this measure are analyzed and the performance of proposed entropy measure at different values of $\alpha$ on the basis of linguistic variables is compared with the help of a numerical example.
Keywords: Fuzzy entropy, intuitionistic fuzzy entropy, exponential intuitionistic fuzzy entropy, linguistic variables
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