Abstract
Characterization of Uninorms on Bounded Lattices and Pre-order They Induce
Highlights
In this paper we study pre-orders induced by uninorms on bounded lattices
The main idea of the authors of this paper is to show a relationship between families of uninorms and families of pre-orders they induce
We provide an overview of some families of uninorms on bounded lattices
Summary
In this paper we study pre-orders induced by uninorms on bounded lattices. The main idea is based on that of Karaçal and Kesicioğlu [1], and follows the original idea of Clifford [2] and Mitsch [3]. The main idea of the authors of this paper is to show a relationship between families of uninorms and families of pre-orders (partial orders, in some cases) they induce (see Hliněná et al [4]). Another relation induced by uninorms, that is always a partial order (see Definition 16), was proposed by Ertuğrul et al [5]. The main intention of the authors was to get a partial order. This relation (partial order) does not suit well our purposes. The present paper is an extension of Hliněná and Kalina [6] that was presented at the EUSFLAT 2019 conference held in Prague
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