Aggregation of Inconsistent Expert Opinions with Use of Horizontal Intuitionistic Membership Functions

  • Andrzej Piegat
  • Marek LandowskiEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 401)


Single expert opinion expressed in form of an intuitionistic membership function (IMF) has uncertainty of the second order because it consists of the membership—\(\mu (x)\) and of the non-membership function \(\nu (x)\). Two different, considerably inconsistent expert opinions have an increased uncertainty order. Often we do not know, which of the opinion is more or less credible. Hence, IMF representing both aggregated opinions cannot be a standard IMF. It should have an increased order of uncertainty. Possibility of appropriate modeling aggregated opinions offers theory of fuzzy sets type-2 developed mainly by J. Mendel. In this paper authors show how application of this theory in connection with horizontal version of IMFs allows for constructing of an aggregated IMF of two inconsistent intuitionistic expert opinions.


Intuitionistic fuzzy sets Type-2 fuzzy sets Expert opinion aggregation Horizontal membership functions RDM—Relative Distance Measure 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Faculty of Computer ScienceWest Pomeranian University of TechnologySzczecinPoland
  2. 2.Maritime University of SzczecinSzczecinPoland

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