On Fuzzy RDM-Arithmetic

  • Andrzej PiegatEmail author
  • Marek Landowski
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 534)


The paper presents notion of horizontal membership function (HMF) and based on it fuzzy, relative distance measure (fuzzy RDM) arithmetic that is compared with standard fuzzy arithmetic (SF arithmetic). Fuzzy RDM-arithmetic possess such mathematical properties which allow for achieving complete fuzzy solution sets of problems, whereas SF-arithmetic, in general, delivers only approximate, partial solutions and sometimes no solutions of problems. The paper explains how to realize arithmetic operations with fuzzy RDM-arithmetic and shows examples of its application.


Fuzzy arithmetic Granular computing Fuzzy RDM arithmetic Horizontal membership function Fuzzy HMF arithmetic Multidimensional fuzzy arithmetic 


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.West Pomeranian University of TechnologySzczecinPoland
  2. 2.Maritime University of SzczecinSzczecinPoland

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