On concavity of t-norms and triangular functions

N. Agell

On concavity of t-norms and triangular functions

N. Agell

Esade

Research output: Not indexed journal article › Article

Abstract

In this article it is proved that the unique concave t-norm is Minimum and, among the class of triangular functions that have the family of unit step-functions as idempotents elements, the unique concave triangular function is the one generated by Minimum.

Original language	Spanish
Pages	91-95
Number of pages	5
Specialist publication	Stochastica: Revista de Matemática Pura y Aplicada
Publication status	Published - 1 Sept 1984

Cite this

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title = "On concavity of t-norms and triangular functions",

abstract = "In this article it is proved that the unique concave t-norm is Minimum and, among the class of triangular functions that have the family of unit step-functions as idempotents elements, the unique concave triangular function is the one generated by Minimum.",

author = "N. Agell",

year = "1984",

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language = "Espa{\~n}ol",

pages = "91--95",

journal = "Stochastica: Revista de Matem{\'a}tica Pura y Aplicada",

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PY - 1984/9/1

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N2 - In this article it is proved that the unique concave t-norm is Minimum and, among the class of triangular functions that have the family of unit step-functions as idempotents elements, the unique concave triangular function is the one generated by Minimum.

AB - In this article it is proved that the unique concave t-norm is Minimum and, among the class of triangular functions that have the family of unit step-functions as idempotents elements, the unique concave triangular function is the one generated by Minimum.

M3 - Artículo

SN - 0210-7821

SP - 91

EP - 95

JO - Stochastica: Revista de Matemática Pura y Aplicada

JF - Stochastica: Revista de Matemática Pura y Aplicada

ER -