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Issue:On intuitionistic fuzzy subsets with diminishing hesitancy values

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Title of paper: On intuitionistic fuzzy subsets with diminishing hesitancy values
Author(s):
Peter Vassilev
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
peter.vassilev@gmail.com
Presented at: 17th International Conference on Intuitionistic Fuzzy Sets, 1–2 November 2013, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 19, 2013, Number 3, pages 47—50
Download:  PDF (142  Kb, Info)
Abstract: In the present paper we focus our attention at defining a new way to construct a sequence of intuitionistic fuzzy subsets satisfies a certain condition related to the hesitancy margin. For this purpose we define a generalization of the extended modal operator Fα,β and establish a sufficient condition that ensures their satisfaction.
Keywords: Intuitionistic fuzzy set, intuitionistic fuzzy subsets, generalized extended modal operator.
AMS Classification: 03E72
References:
  1. Atanassov, K. Intuitionistic Fuzzy Sets. Springer, Heidelberg, 1999.
  2. Atanassov, K. On Intuitionistic Fuzzy Sets Theory. Springer, Berlin, 2012.
  3. Marinov, E., K. Atanassov, π-ordering and index of indeterminacy for intuitionistic fuzzy sets, Proc. of 12th Int. Workshop on IFS and GN, IWIFSGN13, Warsaw, 11 Oct. 2013 (accepted)
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