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Obtaining OWA operators starting from a linear order and preference quantifiers
Author(s) -
Lamata M. Teresa,
Pérez E. Cables
Publication year - 2012
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21520
Subject(s) - preference relation , preference , decision maker , operator (biology) , set (abstract data type) , mathematics , order (exchange) , relation (database) , computer science , algorithm , mathematical optimization , data mining , statistics , operations research , programming language , finance , economics , biochemistry , chemistry , repressor , transcription factor , gene
The ordered weighted averaging operator has been widely studied for its practical use in decision problems. This operator has an associated weights vector with specific properties. Different variants have been developed to obtain it. Among these are those which use the order relationship between the criteria. This paper presents a method to obtain a weights vector, which has as inputs the weights vector obtained by the Borda–Kendall law and the quantified preference relation between the criteria given by the decision maker. Then, through a set of operations, the new weights vector is obtained; this vector is between the weights obtained by the Borda–Kendall law and the weighted average vector. In addition, the paper shows the properties that verify the vectors obtained by this method and its use is illustrated through an example. © 2012 Wiley Periodicals, Inc.