1Department of Mathematics, Faculty of Engineering and Natural Sciences, Bursa Technical University, Bursa, Turkey 2Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia
Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 4, pp. 185-195
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Emel Aşıcı; Radko Mesiar; Emel Aşıcı; Radko Mesiar. An order induced by the direct product of t-norms. Acta mathematica Universitatis Comenianae, Tome 93 (2024) no. 4, pp. 185-195. http://geodesic.mathdoc.fr/item/AMUC_2024_93_4_a0/
@article{AMUC_2024_93_4_a0,
author = {Emel A\c{s}{\i}c{\i} and Radko Mesiar and Emel A\c{s}{\i}c{\i} and Radko Mesiar},
title = { An order induced by the direct product of t-norms},
journal = {Acta mathematica Universitatis Comenianae},
pages = {185--195},
year = {2024},
volume = {93},
number = {4},
url = {http://geodesic.mathdoc.fr/item/AMUC_2024_93_4_a0/}
}
TY - JOUR
AU - Emel Aşıcı
AU - Radko Mesiar
AU - Emel Aşıcı
AU - Radko Mesiar
TI - An order induced by the direct product of t-norms
JO - Acta mathematica Universitatis Comenianae
PY - 2024
SP - 185
EP - 195
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UR - http://geodesic.mathdoc.fr/item/AMUC_2024_93_4_a0/
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%A Emel Aşıcı
%A Radko Mesiar
%A Emel Aşıcı
%A Radko Mesiar
%T An order induced by the direct product of t-norms
%J Acta mathematica Universitatis Comenianae
%D 2024
%P 185-195
%V 93
%N 4
%U http://geodesic.mathdoc.fr/item/AMUC_2024_93_4_a0/
%F AMUC_2024_93_4_a0
In this paper, we study the direct product of triangular norms (t-norms) on bounded lattices. We define an order induced by t-norms, which is a direct product of two t-norms on bounded lattices, and properties of introduced order are deeply investigated. We explore some properties of the direct product of two t-norms on bounded lattices. We investigate the properties of the set of comparable and incomparable elements with respect to the $\preceq_T $ partial order.
