boolean OR-distributive n-ary semicopulas on lattices


Khadjiev D., KARAÇAL F.

FUZZY SETS AND SYSTEMS, cilt.284, ss.78-88, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 284
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.fss.2015.04.008
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Sayfa Sayıları: ss.78-88

Özet

In the present paper, definitions of an n-ary semicopula on a bounded lattice L, a boolean OR-distributive n-ary semicopula on L and an infinite boolean OR-distributive n-ary semicopula on L are introduced. A relation between the set of all bounded lattices L with a boolean OR-distributive n-ary semicopula on L and the set of all bounded lattices L with a boolean OR-distributive m-ary semicopula on L, where 2 <= n, 2 <= m, n not equal m, is obtained. The method is given for investigation of the following questions: a description of all bounded lattices L such that every n-ary semicopula on Lis boolean OR-distributive and a description of all complete lattices L such that every n-ary semicopula on Lis infinite boolean OR-distributive. (C) 2015 Elsevier B.V. All rights reserved.