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Residual operations of left and right uninorms on a complete lattice

Authors
Journal
Fuzzy Sets and Systems
0165-0114
Publisher
Elsevier
Publication Date
Volume
160
Issue
1
Identifiers
DOI: 10.1016/j.fss.2008.03.001
Keywords
  • Fuzzy Connective
  • Uninorm
  • Left (Right) Uninorm
  • Pseudo-Uninorm
  • Infinitely [Formula Omitted]-Distributive
  • Residual Operation

Abstract

Abstract Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval. In this paper, we introduce the concepts of left and right uninorms on a complete lattice. We discuss the residual operations of left and right uninorms, and study some basic properties of the residual operations of infinitely ∨ -distributive left (right) uninorms and pseudo-uninorms.

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