Fuzzy orness measure and new orness axioms
Kybernetika, Tome 51 (2015) no. 4, pp. 712-723
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
We have modified the axiomatic system of orness measures, originally introduced by Kishor in 2014, keeping altogether four axioms. By proposing a fuzzy orness measure based on the inner product of lattice operations, we compare our orness measure with Yager's one which is based on the inner product of arithmetic operations. We prove that fuzzy orness measure satisfies the newly proposed four axioms and propose a method to determine OWA operator with given fuzzy orness degree.
We have modified the axiomatic system of orness measures, originally introduced by Kishor in 2014, keeping altogether four axioms. By proposing a fuzzy orness measure based on the inner product of lattice operations, we compare our orness measure with Yager's one which is based on the inner product of arithmetic operations. We prove that fuzzy orness measure satisfies the newly proposed four axioms and propose a method to determine OWA operator with given fuzzy orness degree.
DOI :
10.14736/kyb-2015-4-0712
Classification :
03E72, 28E10
Keywords: aggregation function; OWA operator; orness measure
Keywords: aggregation function; OWA operator; orness measure
@article{10_14736_kyb_2015_4_0712,
author = {Jin, LeSheng and Kalina, Martin and Qian, Gang},
title = {Fuzzy orness measure and new orness axioms},
journal = {Kybernetika},
pages = {712--723},
year = {2015},
volume = {51},
number = {4},
doi = {10.14736/kyb-2015-4-0712},
mrnumber = {3423196},
zbl = {06530340},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-4-0712/}
}
TY - JOUR AU - Jin, LeSheng AU - Kalina, Martin AU - Qian, Gang TI - Fuzzy orness measure and new orness axioms JO - Kybernetika PY - 2015 SP - 712 EP - 723 VL - 51 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-4-0712/ DO - 10.14736/kyb-2015-4-0712 LA - en ID - 10_14736_kyb_2015_4_0712 ER -
Jin, LeSheng; Kalina, Martin; Qian, Gang. Fuzzy orness measure and new orness axioms. Kybernetika, Tome 51 (2015) no. 4, pp. 712-723. doi: 10.14736/kyb-2015-4-0712
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