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Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs

Beliakov,G and James,S 2014, Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs, in FUZZ-IEEE 2014 : Proceedings of the 2014 IEEE International Conference on Fuzzy Systems, IEEE, Piscataway, N.J., pp. 298-305, doi: 10.1109/FUZZ-IEEE.2014.6891595.

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Title Averaging aggregation functions for preferences expressed as Pythagorean membership grades and fuzzy orthopairs
Author(s) Beliakov,GORCID iD for Beliakov,G orcid.org/0000-0002-9841-5292
James,SORCID iD for James,S orcid.org/0000-0003-1150-0628
Conference name IEEE International Conference on Fuzzy Systems (2014 : Beijing, China)
Conference location Beijing; China
Conference dates 6-11 July 2014
Title of proceedings FUZZ-IEEE 2014 : Proceedings of the 2014 IEEE International Conference on Fuzzy Systems
Editor(s) [Unknown]
Publication date 2014
Conference series IEEE International Conference on Fuzzy Systems
Start page 298
End page 305
Total pages 8
Publisher IEEE
Place of publication Piscataway, N.J.
Keyword(s) aggregation functions
Atanassov intuitionistic fuzzy sets
group decision making
preferences aggregation
Pythagorean fuzzy sets
Summary Rather than denoting fuzzy membership with a single value, orthopairs such as Atanassov's intuitionistic membership and non-membership pairs allow the incorporation of uncertainty, as well as positive and negative aspects when providing evaluations in fuzzy decision making problems. Such representations, along with interval-valued fuzzy values and the recently introduced Pythagorean membership grades, present particular challenges when it comes to defining orders and constructing aggregation functions that behave consistently when summarizing evaluations over multiple criteria or experts. In this paper we consider the aggregation of pairwise preferences denoted by membership and non-membership pairs. We look at how mappings from the space of Atanassov orthopairs to more general classes of fuzzy orthopairs can be used to help define averaging aggregation functions in these new settings. In particular, we focus on how the notion of 'averaging' should be treated in the case of Yager's Pythagorean membership grades and how to ensure that such functions produce outputs consistent with the case of ordinary fuzzy membership degrees.
ISBN 9781479920723
ISSN 1098-7584
Language eng
DOI 10.1109/FUZZ-IEEE.2014.6891595
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category E1 Full written paper - refereed
ERA Research output type E Conference publication
Copyright notice ©2014, Institute of Electrical and Electronics Engineers Inc.
Persistent URL http://hdl.handle.net/10536/DRO/DU:30069284

Document type: Conference Paper
Collections: School of Information Technology
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.