Characterizations of sub-semihypergroups by various triangular norms

B. Davvaz

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 4, page 923-932
  • ISSN: 0011-4642

Abstract

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We investigate the structure and properties of T L -sub-semihypergroups, where T is an arbitrary triangular norm on a given complete lattice L . We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider L = [ 0 , 1 ] and T = min , and investigate the connection between T L -sub-semihypergroups and the probability space.

How to cite

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Davvaz, B.. "Characterizations of sub-semihypergroups by various triangular norms." Czechoslovak Mathematical Journal 55.4 (2005): 923-932. <http://eudml.org/doc/30999>.

@article{Davvaz2005,
abstract = {We investigate the structure and properties of $TL$-sub-semihypergroups, where $T$ is an arbitrary triangular norm on a given complete lattice $L$. We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider $L=[0,1]$ and $T=\min $, and investigate the connection between $TL$-sub-semihypergroups and the probability space.},
author = {Davvaz, B.},
journal = {Czechoslovak Mathematical Journal},
keywords = {semihypergroup; complete lattice; triangular norm; fundamental relation; probability space; semihypergroups; triangular norms; fundamental relations},
language = {eng},
number = {4},
pages = {923-932},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterizations of sub-semihypergroups by various triangular norms},
url = {http://eudml.org/doc/30999},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Davvaz, B.
TI - Characterizations of sub-semihypergroups by various triangular norms
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 4
SP - 923
EP - 932
AB - We investigate the structure and properties of $TL$-sub-semihypergroups, where $T$ is an arbitrary triangular norm on a given complete lattice $L$. We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider $L=[0,1]$ and $T=\min $, and investigate the connection between $TL$-sub-semihypergroups and the probability space.
LA - eng
KW - semihypergroup; complete lattice; triangular norm; fundamental relation; probability space; semihypergroups; triangular norms; fundamental relations
UR - http://eudml.org/doc/30999
ER -

References

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