1. A t-partial order obtained from t-norms
- Creator:
- Karaçal, Funda and Kesicioğlu, M. Nesibe
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- triangular norm, bounded lattice, triangular action, ⋁-distributive, and idempotent element
- Language:
- English
- Description:
- A partial order on a bounded lattice L is called t-order if it is defined by means of the t-norm on L. It is obtained that for a t-norm on a bounded lattice L the relation a⪯Tb iff a=T(x,b) for some x∈L is a partial order. The goal of the paper is to determine some conditions such that the new partial order induces a bounded lattice on the subset of all idempotent elements of L and a complete lattice on the subset A of all elements of L which are the supremum of a subset of atoms.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public