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Issue:The generalized modal operator Fpα,β over p-intuitionistic fuzzy sets: Difference between revisions

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In the present paper a generalization of the [[operators over intuitionistic fuzzy sets|operator]] F<sub>α,β</sub> defined by Atanassov in [1] is considered. This operator is defined over the class of [[p-intuitionistic fuzzy sets]]. Its properties are studied and a Theorem analogous to the results obtained in [4] is proved.
In the present paper a generalization of the [[operators over intuitionistic fuzzy sets|operator]] F<sub>α,β</sub> defined by Atanassov in [1] is considered. This operator is defined over the class of [[p-intuitionistic fuzzy sets]]. Its properties are studied and a Theorem analogous to the results obtained in [4] is proved.

Latest revision as of 17:04, 1 June 2010

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Title of paper: The generalized modal operator Fpα,β over p-intuitionistic fuzzy sets
Author(s):
Peter Vassilev
Centre of Biomedical Engineering - Bulgarian Academy of Sciences
peter.vassilev@gmail.com
Presented at: 5th International Workshop on Intuitionistic Fuzzy Sets, 19 October 2009, Banská Bystrica, Slovakia.
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 15, Number 4, pages 19—24
Download:  PDF (163  Kb, Info)
Abstract: In the present paper a generalization of the operator Fα,β defined by Atanassov in [1] is considered. This operator is defined over the class of p-intuitionistic fuzzy sets. Its properties are studied and a Theorem analogous to the results obtained in [4] is proved.


References:
  1. Atanassov, K. More on intuitionistic fuzzy sets. Fuzzy sets and Systems, Vol. 33,(1),1989, 37-46.
  2. Atanassov, K. A second type of intuitionistic fuzzy sets, BUSEFAL, Vol. 56, 1993, 66-70.
  3. Atanassov, K. Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg, 1999.
  4. Vassilev, P. A Note On The Intuitionistic Fuzzy Set Operator Fα,β. Second IEEE International Conference on Intelligent Systems, June 2004, 18-20.
  5. Vassilev, P.,R. Parvathi, K. Atanassov, Note On Intuitionistic Fuzzy Sets of p-th Type. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 6, 2008, 43-50.
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