# A note about operations like ${T}_{W}$ (the weakest $t$-norm) based addition on fuzzy intervals

Kybernetika (2009)

- Volume: 45, Issue: 3, page 541-547
- ISSN: 0023-5954

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topHong, Dug Hun. "A note about operations like $T_W$ (the weakest $t$-norm) based addition on fuzzy intervals." Kybernetika 45.3 (2009): 541-547. <http://eudml.org/doc/37670>.

@article{Hong2009,

abstract = {We investigate a relation about subadditivity of functions. Based on subadditivity of functions, we consider some conditions for continuous $t$-norms to act as the weakest $t$-norm $T_W$-based addition. This work extends some results of Marková-Stupňanová [15], Mesiar [18].},

author = {Hong, Dug Hun},

journal = {Kybernetika},

keywords = {fuzzy arithmetics; fuzzy intervals; triangular norms; fuzzy arithmetics; fuzzy intervals; triangular norms},

language = {eng},

number = {3},

pages = {541-547},

publisher = {Institute of Information Theory and Automation AS CR},

title = {A note about operations like $T_W$ (the weakest $t$-norm) based addition on fuzzy intervals},

url = {http://eudml.org/doc/37670},

volume = {45},

year = {2009},

}

TY - JOUR

AU - Hong, Dug Hun

TI - A note about operations like $T_W$ (the weakest $t$-norm) based addition on fuzzy intervals

JO - Kybernetika

PY - 2009

PB - Institute of Information Theory and Automation AS CR

VL - 45

IS - 3

SP - 541

EP - 547

AB - We investigate a relation about subadditivity of functions. Based on subadditivity of functions, we consider some conditions for continuous $t$-norms to act as the weakest $t$-norm $T_W$-based addition. This work extends some results of Marková-Stupňanová [15], Mesiar [18].

LA - eng

KW - fuzzy arithmetics; fuzzy intervals; triangular norms; fuzzy arithmetics; fuzzy intervals; triangular norms

UR - http://eudml.org/doc/37670

ER -

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