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

KARAÇAL, FUNDA; Khadjiev, Djavvat

doi:10.1016/j.ins.2014.11.043

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

KARAÇAL F., Khadjiev D.

INFORMATION SCIENCES, vol.298, pp.22-35, 2015 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 298
Publication Date: 2015
Doi Number: 10.1016/j.ins.2014.11.043
Journal Name: INFORMATION SCIENCES
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.22-35
Open Archive Collection: AVESIS Open Access Collection
Karadeniz Technical University Affiliated: Yes

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.