A characterization of uninorms on bounded lattices by means of triangular norms and triangular conorms. Issue 8 (17th November 2018)

• Record Type: Journal Article
• Authors: Çaylı, Gül Deniz
• Is Part Of: International journal of general systems. Volume 47:Issue 8(2018)
• Page Start: 772
• Page End: 793
• Publication Date: 2018-11-17
• Subjects: Bounded lattice -- uninorm -- neutral element -- t-norm -- t-conorm; System theory -- Periodicals; 003
• DOI: 10.1080/03081079.2018.1513929
• Languages: English
• ISSNs: 0308-1079

Abstract

ABSTRACT: Uninorms are generalizations of triangular norms and triangular conorms leaving the freedom for the neutral element to be an arbitrary element from a bounded lattice. In this paper, we study uninorms on bounded lattices and investigate their main characteristics. We also introduce the new construction methods for uninorms on bounded lattices with a neutral element based on the fact that the presence of triangular norms and triangular conorms. Furthermore, we assess and exemplify the differences between our constructions and the present approaches.