Fuzzy orness measure and new orness axioms

LeSheng Jin; Martin Kalina; Gang Qian

Kybernetika (2015)

  • Volume: 51, Issue: 4, page 712-723
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Jin, LeSheng, Kalina, Martin, and Qian, Gang. "Fuzzy orness measure and new orness axioms." Kybernetika 51.4 (2015): 712-723. <http://eudml.org/doc/271835>.

@article{Jin2015,
abstract = {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.},
author = {Jin, LeSheng, Kalina, Martin, Qian, Gang},
journal = {Kybernetika},
keywords = {aggregation function; OWA operator; orness measure; aggregation function; OWA operator; orness measure},
language = {eng},
number = {4},
pages = {712-723},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fuzzy orness measure and new orness axioms},
url = {http://eudml.org/doc/271835},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Jin, LeSheng
AU - Kalina, Martin
AU - Qian, Gang
TI - Fuzzy orness measure and new orness axioms
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 4
SP - 712
EP - 723
AB - 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.
LA - eng
KW - aggregation function; OWA operator; orness measure; aggregation function; OWA operator; orness measure
UR - http://eudml.org/doc/271835
ER -

References

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