Parameterized preference aggregation operators with improved adjustability

ABSTRACT

This study proposes some extended aggregation operators to model Extreme Conformity and Bounded Extreme Conformity which were proposed in a recent work. In detail, we propose Interval Judged s-t-A extreme operators and Selective Leveled-Preferences Ordered Weighted Averaging operators, respectively, and analyze some of their properties such as the related degenerations and monotonicities. Both types of operators have more flexibility and adjustability. An application of Interval Judged s-t-A extreme operators in project evaluation and decision-making is also introduced.

KEYWORDS:

• Aggregation operators
• decision-making
• extreme conformity
• Interval Judged s-t-A extreme operators
• Ordered Weighted Averaging operators
• Selective Leveled-Preferences OWA operators

Acknowledgements

This work was partly supported under: Scientific Research Start-up Foundation with Grant 184080H202B165; partly supported by grants APVV-18-0052 and by the project of Grant Agency of the Czech Republic (GAČR) no. 18-06915S; and partly supported from the Natural Science Foundation of Jiangsu Province (Grants No. BK20190695).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was partly supported under: Scientific Research Start-up Foundation with Grant 184080H202B165; partly supported by grants APVV-18-0052 and by the project of Grant Agency of the Czech Republic (GAČR) no. 18-06915S; and partly supported from the Natural Science Foundation of Jiangsu Province (Grants No. BK20190695).

Notes on contributors

LeSheng Jin

LeSheng Jin is an IEEE Senior Member, and a lecturer in School of Business, Nanjing Normal University. His research interests are information fusion, decision-making and fuzzy systems, etc. Dr. Jin has published/coauthored more than 50 papers in some esteemed journals and conferences.

Radko Mesiar

Radko Mesiar is an IFSA Fellow, and a full professor in the Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia. Dr. Mesiar has been area editors for more than 10 esteemed academic journals, and the founder of several international conferences such as the FSTA, ISCAMI, ABLAT, and AGOP conferences. He has published/coauthored about 450 papers, and is the coauthor of two scientific monographs: Triangular Norms and Aggregation Functions, and five edited volumes.

Ronald Yager

Ronald R. Yager is an IEEE Life Fellow, an IFSA Fellow, and a full professor in Machine Intelligence Institute, Iona College, New York, USA. Dr. Yager is the Recipients of IEEE Computational Intelligence Society Fuzzy Systems Pioneer Award in 2004, of IEEE Outstanding Contributor Award Granular Computing in 2006, of IEEE Frank Rosenblatt Award in 2016, and of Lotfi A. Zadeh Pioneer Award of the IEEE Systems, Man, and Cybernetics Society in 2018. He is the founder and former editor in chief of International Journal of Intelligent Systems. He has published/coauthored over 600 papers.