Issue:Intuitionistic fuzzy measures and intuitionistic entropies

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Title of paper: Intuitionistic fuzzy measures and intuitionistic entropies Author(s): Adrian Ban Department of Mathematics, University of Oradea, Str. Armatei Romane 5, 3700 Oradea, Romania Published in: "Notes on IFS", Volume 4 (1998) Number 4, pages 48—58 Download:  PDF (3475  Kb, File info) Abstract: With the help of an abstract integral we first give a family of intuitionistic entropies introduced by Burillo and Bustince in [4]. Second we prove that certain intuitionistic entropies are intuitionistic fuzzy measures. Keywords: Intuitionistic entropy, intuitionistic norm function, triangular norm, intuitionistic measure. References: Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96. Ban, A.I., The convergence of a sequence of intuitionistic fuzzy sets and intuitionistic (fuzzy) measure, submitted to Notes on Intuitionistic Fuzzy Sets. Burillo, P., Bustince, H., Two operators on interval-valued intuitionistic fuzzy sets: Part II, Comptes rendus de 1 'Academic bulgare de Sciences, Tome 48, No 1, 1995, 17-20. Burillo, P., Bustince, H., Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems 78(1996), 305-316. Bustince, H., Burillo, P., Correlation of interval intuitionistic fuzzy sets. Fuzzy Sets and Systems 74(1995), 237-244. Butnariu, D., Klement, E. P., Triangular norm based measures and their Markov kernel representation, J. Math. Anal. Appl. 162(1991), 111-143. Butnariu, D., Klement, E. P., Triangular norm- Based Measures and Games with Fuzzy Coaltions, Kluwer, Dordrecht, 1993. Halmos, P. R., Measure Theory, Van Nostrand, Princeton, New York, 1950. Klement, E. P., Characterization of fuzzy measures constructed by means of triangular norms, J. Math. Anal. Appl. 86(1982), 345-358. Knopfmacher, J., On measures of fuzziness, J. Math. Anal. Appl. 49(1975), 529-534. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.