Geodesic
Measures of association of plausible events
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 10 (2015) no. 1, pp. 23-34

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper considers the general methods of construction of non-statistical association measures on a set with given involutive operation. The measure of association is defined as a function satisfying the properties of the Pearson’s correlation coefficient. The methods of construction of association measures on $[0,1]$ with generators of involutive negations are proposed. The examples of association measures on $[0,1]$ obtained by means of generators of Yager negation and pseudo-difference operations associated to basic t-conorms are considered.
Keywords: association measure, correlation coefficient, fuzzy negation, involution, similarity measure, $t$-conorm. 
@article{FSSC_2015_10_1_a2,
     author = {I. Z. Batyrshin},
     title = {Measures of association of plausible events},
     journal = {Ne\v{c}etkie sistemy i m\^agkie vy\v{c}isleni\^a},
     pages = {23--34},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FSSC_2015_10_1_a2/}
}
TY  - JOUR
AU  - I. Z. Batyrshin
TI  - Measures of association of plausible events
JO  - Nečetkie sistemy i mâgkie vyčisleniâ
PY  - 2015
SP  - 23
EP  - 34
VL  - 10
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FSSC_2015_10_1_a2/
LA  - ru
ID  - FSSC_2015_10_1_a2
ER  - 
%0 Journal Article
%A I. Z. Batyrshin
%T Measures of association of plausible events
%J Nečetkie sistemy i mâgkie vyčisleniâ
%D 2015
%P 23-34
%V 10
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FSSC_2015_10_1_a2/
%G ru
%F FSSC_2015_10_1_a2
I. Z. Batyrshin. Measures of association of plausible events. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 10 (2015) no. 1, pp. 23-34. http://geodesic.mathdoc.fr/item/FSSC_2015_10_1_a2/