Ordering based on implications

Kesicioglu M. N., MESIAR R.

INFORMATION SCIENCES, vol.276, pp.377-386, 2014 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 276
  • Publication Date: 2014
  • Doi Number: 10.1016/j.ins.2013.12.047
  • Journal Name: INFORMATION SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.377-386
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

Implication function I on a bounded lattice L is defined by means of some boundary conditions and monotonicity constraints. On the other hand, each implication function I on L defines a special relation which, in some cases, can be a (partial) order on L. We study the properties of I resulting into such (partial) orders. A special attention is given do situations yielding new bounded lattices. (C) 2014 Elsevier Inc. All rights reserved.