Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.

Anna Kolesárová

Mathware and Soft Computing (1998)

  • Volume: 5, Issue: 1, page 91-98
  • ISSN: 1134-5632

Abstract

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The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm TL acts on linear fuzzy intervals just as the TL-based addition. Some examples are given.

How to cite

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Kolesárová, Anna. "Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.." Mathware and Soft Computing 5.1 (1998): 91-98. <http://eudml.org/doc/39120>.

@article{Kolesárová1998,
abstract = {The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm TL acts on linear fuzzy intervals just as the TL-based addition. Some examples are given.},
author = {Kolesárová, Anna},
journal = {Mathware and Soft Computing},
keywords = {Norma triangular; Conjuntos difusos; Números difusos; fuzzy number; L-R number; trapezoidal number; triangular norm; fuzzy arithmetic},
language = {eng},
number = {1},
pages = {91-98},
title = {Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.},
url = {http://eudml.org/doc/39120},
volume = {5},
year = {1998},
}

TY - JOUR
AU - Kolesárová, Anna
TI - Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.
JO - Mathware and Soft Computing
PY - 1998
VL - 5
IS - 1
SP - 91
EP - 98
AB - The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm TL acts on linear fuzzy intervals just as the TL-based addition. Some examples are given.
LA - eng
KW - Norma triangular; Conjuntos difusos; Números difusos; fuzzy number; L-R number; trapezoidal number; triangular norm; fuzzy arithmetic
UR - http://eudml.org/doc/39120
ER -

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