| Title of paper:
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Measures on crisp sets induced by measures on intuitionistic fuzzy sets
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| Author(s):
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| Adrian I. Ban
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| Department of Mathematics and Informatics, University of Oradea,, Universit˘at¸ii 1, 410087 Oradea, Romania
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| aiban@uoradea.ro
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| Published in:
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"Notes on IFS", Volume 12 (2006) Number 2, pages 11-23
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| Download:
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 PDF (200 Kb, Info)
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| References:
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- Atanassov, K. T., Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Verlag, Heidelberg, 1999.
- 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, Notes on Intuitionistic Fuzzy Sets, 4 (1998), 41-47.
- Ban, A. I., Gal, S. G., Decomposable measures and information measures for intuitionistic fuzzy sets, Fuzzy Sets and Systems, 123 (2001), 103-117.
- Ban, A. I., Construction of decomposable measures on intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 8 (2002), 42-50.
- Ban, A. I., Examples of intuitionistic fuzzy algebras and intuitionistic fuzzy measures, Notes on Intuitionistic Fuzzy Sets (Proceedings of the Seventh International Conference on Intuitionistic Fuzzy Sets, Sofia, August, 2003), 9 (2003), 4-10.
- Ban, A. I., Intuitionistic fuzzy-valued fuzzy measures, Proceedings of Second International Conference on Intelligent Systems, Varna, June 2004, 427-429.
- Ban, A. I., Intuitionistic fuzzy-valued possibility and necessity measures, Notes on Intuitionistic Fuzzy Sets (Proceedings of the Eighth International Conference on Intuitionistic Fuzzy Sets, Varna, June 2004), 10 (2004), 1-7.
- Ban, A. I., Sugeno integral with respect to intuitionistic fuzzy-valued fuzzy measures, Notes on Intuitionistic Fuzzy Sets, 11 (2005), 47-61.
- Ban, A. I., Intuitionistic fuzzy-valued fuzzy measures and integrals, in: Krassimir T. Atanassov, Janusz Kacprzyk, Maciej Krawczak, Eulalia Szmidt (Eds.), Issue in the Representation and Processing of Uncertain and Imprecise Information: Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Academic House Exit, Warszawa, 2005, 25-57.
- Ban, A. I., A family of monotone measures on intuitionistic fuzzy sets with respect to Frank intuitionistic fuzzy t-norms, in: Krassimir T. Atanassov, Janusz Kacprzyk, Maciej Krawczak, Eulalia Szmidt (Eds.), Issue in the Representation and Processing of Uncertain and Imprecise Information: Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Academic House Exit, Warszawa, 2005, 58-71.
- Cornelis, C., Deschrijver, G., Kerre, E. E., Implication in intuitionistic and interval-valued fuzzy set theory: construction, classification, application, International Journal of Approximate Reasoning, 35 (2004), 55-95.
- Deschrijver, G., Cornelis, C., Kerre, E. E., Intuitionistic fuzzy connectives revisited, Proceedings of the Ninth International Conference ”Information Processing and Management of Uncertainty in Knowledge-Based Systems”, Annecy, July 2002, 1839-1844.
- Halmos, P. R., Measure Theory, Van Nostrand, Princeton, New York, 1950.
- Mondal, T. K., Samanta, S. K., (k1, k2)-Intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 7 (2001), 23-32.
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