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Multiple priorities in an induced ordered weighted averaging operator
Author(s) -
Mitchell H. B.,
Schaefer P. A.
Publication year - 2000
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/(sici)1098-111x(200004)15:4<317::aid-int4>3.0.co;2-j
Subject(s) - operator (biology) , argument (complex analysis) , set (abstract data type) , value (mathematics) , mathematics , computer science , algorithm , discrete mathematics , statistics , medicine , biochemistry , chemistry , repressor , transcription factor , gene , programming language
The ordered weighted averaging (OWA) operator of Yager was introduced to provide a method for nonlinearly aggregating a set of input arguments a i . A fundamental aspect of the OWA operator is a reordering step in which the input arguments are rearranged according to their values. Recently, an induced OWA operator was described in which each input argument a i has a single priority α i value. The input arguments are then rearranged according to the priorities α i and not their own values. In this paper we show how the induced OWA operator may be defined when each argument a i has associated with it N priority values α ip , p ∈{1, 2,…, N }, instead of a single priority value. Finally, we suggest two applications using a multiple priority induced OWA operator. © 2000 John Wiley & Sons, Inc.