Construction of uninorms on bounded lattices

Gül Deniz Çaylı; Funda Karaçal

Kybernetika (2017)

  • Volume: 53, Issue: 3, page 394-417
  • ISSN: 0023-5954

Abstract

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In this paper, we propose the general methods, yielding uninorms on the bounded lattice ( L , ≤ , 0 , 1 ) , with some additional constraints on e ∈ L ∖ { 0 , 1 } for a fixed neutral element e ∈ L ∖ { 0 , 1 } based on underlying an arbitrary triangular norm T e on [ 0 , e ] and an arbitrary triangular conorm S e on [ e , 1 ] . And, some illustrative examples are added for clarity.

How to cite

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Çaylı, Gül Deniz, and Karaçal, Funda. "Construction of uninorms on bounded lattices." Kybernetika 53.3 (2017): 394-417. <http://eudml.org/doc/294805>.

@article{Çaylı2017,
abstract = {In this paper, we propose the general methods, yielding uninorms on the bounded lattice $(L,\le ,0,1)$, with some additional constraints on $e\in L\backslash \lbrace 0,1\rbrace $ for a fixed neutral element $e\in L\backslash \lbrace 0,1\rbrace $ based on underlying an arbitrary triangular norm $T_\{e\}$ on $[0,e]$ and an arbitrary triangular conorm $S_\{e\}$ on $[e,1]$. And, some illustrative examples are added for clarity.},
author = {Çaylı, Gül Deniz, Karaçal, Funda},
journal = {Kybernetika},
keywords = {bounded lattice; triangular norm; triangular conorm; uninorms},
language = {eng},
number = {3},
pages = {394-417},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Construction of uninorms on bounded lattices},
url = {http://eudml.org/doc/294805},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Çaylı, Gül Deniz
AU - Karaçal, Funda
TI - Construction of uninorms on bounded lattices
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 3
SP - 394
EP - 417
AB - In this paper, we propose the general methods, yielding uninorms on the bounded lattice $(L,\le ,0,1)$, with some additional constraints on $e\in L\backslash \lbrace 0,1\rbrace $ for a fixed neutral element $e\in L\backslash \lbrace 0,1\rbrace $ based on underlying an arbitrary triangular norm $T_{e}$ on $[0,e]$ and an arbitrary triangular conorm $S_{e}$ on $[e,1]$. And, some illustrative examples are added for clarity.
LA - eng
KW - bounded lattice; triangular norm; triangular conorm; uninorms
UR - http://eudml.org/doc/294805
ER -

References

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