| Title of paper:
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Intuitionistic fuzzy set energies
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| Author(s):
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| Tadeusz Gerstenkorn
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| Lodz University, Faculty of Mathematics, ul. Banacha 22, PL 90-238 Lodz, Poland
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| tadger@math.uni.lodz.pl
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| Jacek Mańko
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| Lodz University, Faculty of Mathematics, ul. Banacha 22, PL 90-238 Lodz, Poland
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| Published in:
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"Notes on IFS", Volume 9 (2003), Number 1, pages 41-48
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| Download:
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 PDF (156 Kb, File info)
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| Abstract:
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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).
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| Keywords:
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Intuitionistic fuzzy set, Hesitancy margin, Valuation, Informational energy, Energy of a fuzzy set
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| References:
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- 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 sets 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.
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| Citations:
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