Internal direct product of integral V-distributive binary aggregation functions and the classification of all integral V-distributive binary aggregation functions of length 3


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KARAÇAL F. , Khadjiev D.

INFORMATION SCIENCES, vol.298, pp.22-35, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 298
  • Publication Date: 2015
  • Doi Number: 10.1016/j.ins.2014.11.043
  • Title of Journal : INFORMATION SCIENCES
  • Page Numbers: pp.22-35

Abstract

We present some relations between an external direct product and an internal direct product of a family of integral V-distributive binary aggregation functions. Relations between a direct decomposition of the unit and a family of pairwise comaximal elements in a lattice with an integral V-distributive binary aggregation function are investigated. Using these results, the classification of all integral V-distributive binary aggregation functions on a lattice of length 3 and a description of all lattices of length 3 with an integral V-distributive binary aggregation function are given. (C) 2014 Elsevier Inc. All rights reserved.