Issue:Intuitionistic fuzzy set energies

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Title of paper: Intuitionistic fuzzy set energies Author(s): Tadeusz Gerstenkorn Lodz University, Faculty of Mathematics, ul. Banacha 22, PL 90-238 Lodz, Poland tadger@math.uni.lodz.pl Jacek Mańko Lodz University, Faculty of Mathematics, ul. Banacha 22, PL 90-238 Lodz, Poland Published in: "Notes on IFS", Volume 9 (2003), Number 1, pages 41-48 Download:  PDF (156  Kb, File info) Abstract: The concepts of energies of intuitionistic fuzzy sets that were for the first time paid attention to in [9] and [5] and thoroughly discussed in [8] are now being enriched by the so-called intuitionistic energy and take account of a characteristic description parameter of an intuitionistic fuzzy set, the so-called hesitancy margin (intuitionistic index). Keywords: Intuitionistic fuzzy set, Hesitancy margin, Valuation, Informational energy, Energy of a fuzzy set References: K. Atanassov, S. Stoeva, Intuitionistic fuzzy sets, Proc. Polish Symposium on Interval and Fuzzy Mathematics, August 26-29, Poznań 1983, ed. by J. Albrycht and H. Wiśniewski, Inst. of Mathem., Technical Univ. of Poznań, Poznań 1985, p.23-26. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1986, p. 87-96. K. Atanassov, Remark on intuitionistic fuzzy expert system, BUSEFAL 59 (1994), p. 71-76. D. Dumitrescu, A definition of an informational energy in fuzzy sets theory, Studia Univ. Babeş-Bolyai (Mathematica) 22, 1977, 55-79. T. Gerstenkorn, J. Mańko, Correlation of intuitionistic fuzzy sets, Fuzzy Sets and Systems 44, 1991, 39-43. T. Gerstenkorn, J. Mańko, Intuitionistic fuzzy set entropies, Notes on Intuitionistic Fuzzy Sets 7(1) 2001, 30-36. de A. Luca, S. Termini, A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory, Inform. and Control 20, 1972, 301-312. J. Mańko, Probability, entropy and energy in bifuzzy sets theory (in Polish), Doct. thesis, University of Łódź, 1992. J. Mańko, On measuring the fuzziness and the nonfuzziness of intuitionistic fuzzy sets, Mathematica Pannonica 4(2), 1993, 205-215. O. Onicescu, Energie informationelle, Comptes-Rendus Acad. Sci. Paris 263/22, 1966, 841-842. R. Yager, A note on probabilities of fuzzy events, Inform. Sci. 18 (1979), 113-129. L. A. Zadeh, Fuzzy Sets, Inform. Control 8, 1965, p. 338-353. L .A. Zadeh, Probability measure of fuzzy events, J. Math. Anal. Appl. 23, 1968, 421-427. Citations: Issue:Intuitionistic fuzzy set entropies ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.