| Title of paper:
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The convergence of a sequence of intuitionistic fuzzy sets and intuitionistic (fuzzy) measure
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| Author(s):
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| Adrian Ban
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| Department of Mathematics, University of Oradea, Str. Armatei Romane 5, 3700 Oradea, Romania
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| Published in:
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"Notes on IFS", Volume 4 (1998) Number 4, pages 41—47
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| Download:
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 PDF (2784 Kb, Info)
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| Abstract:
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In this paper we define the concept of intuitionistic (fuzzy) measure. For this we introduce the limit of a sequence of intuitionistic fuzzy sets and we prove some properties. Finally, we give some example by intuitionistic measures.
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| Keywords:
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Triangular norm, sequence of intuitionistic fuzzy sets, intuitionistic measure
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| References:
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- Atanassov, K. T., Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1986), 87-96.
- Burillo, P., Bustince, H., Two operators on interval-valued intuitionistic fuzzy sets: Part II, Comptes rendus de l'Academie 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.
- Klement, E. P., Characterization of fuzzy measures constructed by means of triangular norms, J. Math. Anal. Appl. 86(1982), 345-358.
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