@article {IOPORT.05906737, author = {Bustince, Humberto and Barrenechea, Edurne and Pagola, Miguel and Fernandez, Javier and Guerra, Carlos and Couto, Pedro and Melo-Pinto, Pedro}, title = {Generalized Atanassov's intuitionistic fuzzy index. Construction of Atanassov's fuzzy entropy from fuzzy implication operators.}, year = {2011}, journal = {International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems}, volume = {19}, number = {1}, issn = {0218-4885}, pages = {51-69}, publisher = {World Scientific, Singapore}, doi = {10.1142/S0218488511006885}, abstract = {Summary: We introduce the concept of Generalized Atanassov's Intuitionistic Fuzzy Index. We characterize it in terms of fuzzy implication operators and propose a construction method with order automorphisms. Finally, we obtain, by means of special aggregation functions applied to the generalized Atanassov's intuitionistic fuzzy index, the Atanassov's intuitionistic fuzzy entropy given by {\it P. Burillo} and {\it H. Bustince} [Fuzzy Sets Syst. 78, No.~3, 305--316 (1996; Zbl 0872.94061)].}, identifier = {05906737}, }