Geodesic
Fuzzy orness measure and new orness axioms
Kybernetika, Tome 51 (2015) no. 4, pp. 712-723
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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 
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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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