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Families of Value-Dependent Preference Aggregation Operators with Their Structures and Properties

Lesheng Jin

Business School, Nanjing Normal University, Nanjing, P. R. China

E-mail Address: jls1980@163.com

Corresponding author.

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Radko Mesiar

Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, Sk-810 05 Bratislava, Slovakia

Palacky Univ Olomouc, Fac Sci, Dept Algebra & Geometry, 17 Listopadu 12, Olomouc 77146, Czech Republic

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, and

Ronald Yager

Machine Intelligence Institute, Iona College, New Rochelle, NY 10801, USA

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https://doi.org/10.1142/S0218488523500125Cited by:5 (Source: Crossref)

Abstract

In evaluation and decision making frequently we need to consider and then well model the subjective preferences and behaviors of decision makers. This study firstly defines literally three types of conformities, namely, the Bounded Conformity, Extreme Conformity and Bounded Extreme Conformity. Then, we define two types of value-dependent preference aggregation operators, s-t-A extreme operators and Level dependent Preferences Ordered Weighted Averaging operators, to specifically model Extreme Conformity and Bounded Extreme Conformity, respectively. Some related mathematical properties and simple numerical examples are also presented.

Keywords:

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