Aggregation of Convex Intuitionistic Fuzzy Sets

Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 228)

Abstract

Aggregation of intuitionistic fuzzy sets is studied from the point of view of preserving convexity.We focus on those aggregation functions for IF-sets, that are results of separate aggregation of the membership and of nonmembership functions, that is, the representable aggregation functions. A sufficient and necessary condition for an aggregation function is given in order to fulfil that the aggregation of two IF-sets preserves the convexity of cuts.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Natural SciencesMatej Bel UniversityBanská BystricaSlovak Republic
  2. 2.Department of Statistics and O.R.University of OviedoAsturiasSpain

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