On the constructions of t-norms and t-conorms on some special classes of bounded lattices

Emel Aşıcı

Kybernetika (2021)

  • Issue: 2, page 352-371
  • ISSN: 0023-5954

Abstract

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Recently, the topic related to the construction of triangular norms and triangular conorms on bounded lattices using ordinal sums has been extensively studied. In this paper, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an appropriate bounded lattice. Also, we give some illustrative examples for clarity. Then, we show that a new construction method can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an appropriate bounded lattice, respectively. And we provide some illustrative examples.

How to cite

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Aşıcı, Emel. "On the constructions of t-norms and t-conorms on some special classes of bounded lattices." Kybernetika (2021): 352-371. <http://eudml.org/doc/298154>.

@article{Aşıcı2021,
abstract = {Recently, the topic related to the construction of triangular norms and triangular conorms on bounded lattices using ordinal sums has been extensively studied. In this paper, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an appropriate bounded lattice. Also, we give some illustrative examples for clarity. Then, we show that a new construction method can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an appropriate bounded lattice, respectively. And we provide some illustrative examples.},
author = {Aşıcı, Emel},
journal = {Kybernetika},
keywords = {t-norm; t-conorm; ordinal sum; bounded lattice},
language = {eng},
number = {2},
pages = {352-371},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the constructions of t-norms and t-conorms on some special classes of bounded lattices},
url = {http://eudml.org/doc/298154},
year = {2021},
}

TY - JOUR
AU - Aşıcı, Emel
TI - On the constructions of t-norms and t-conorms on some special classes of bounded lattices
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
IS - 2
SP - 352
EP - 371
AB - Recently, the topic related to the construction of triangular norms and triangular conorms on bounded lattices using ordinal sums has been extensively studied. In this paper, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an appropriate bounded lattice. Also, we give some illustrative examples for clarity. Then, we show that a new construction method can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an appropriate bounded lattice, respectively. And we provide some illustrative examples.
LA - eng
KW - t-norm; t-conorm; ordinal sum; bounded lattice
UR - http://eudml.org/doc/298154
ER -

References

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