On generation of digital fuzzy parametric conjunctions

Ildar Z. Batyrshin, Imre J. Rudas, Alexandra Panova

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

Abstract

A new method of generation of digital fuzzy parametric conjunctions by means of basic t-norms is proposed. Fuzzy conjunctions also referred to as con-junctors and semicopulas. Digital fuzzy conjunctions are defined on the set of integer membership values L={0,1,2,2m-1}, where m is a number of bits used in presentation of membership values and I = 2m-1 denotes a maximal membership value corresponding to 1 in traditional set of true values L= [0,1]. The proposed method referred to as the monotone sum of fuzzy conjunctions generalizes the method of ordinal sum of t-norms and gives possibility to construct a wide class of digital fuzzy parametric conjunctions that have effective digital hardware implementation. The classes of simplest commutative digital fuzzy parametric conjunctions obtained by this method are described. These classes of operations can constitute a part of a library of basic blocks for generation of digital fuzzy systems.

Original languageEnglish
Title of host publicationTowards Intelligent Engineering and Information Technology
EditorsImre Rudas, Janos Fodor, Janusz Kacprzyk
Pages79-89
Number of pages11
DOIs
Publication statusPublished - Dec 1 2009

Publication series

NameStudies in Computational Intelligence
Volume243
ISSN (Print)1860-949X

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Keywords

  • Commutativity
  • Conjunctor
  • Digital fuzzy conjunction
  • Finite scale
  • Semicopula
  • T-norm

ASJC Scopus subject areas

  • Artificial Intelligence

Cite this

Batyrshin, I. Z., Rudas, I. J., & Panova, A. (2009). On generation of digital fuzzy parametric conjunctions. In I. Rudas, J. Fodor, & J. Kacprzyk (Eds.), Towards Intelligent Engineering and Information Technology (pp. 79-89). (Studies in Computational Intelligence; Vol. 243). https://doi.org/10.1007/978-3-642-03737-5_6