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Comparing Apples and Oranges: The Weighted OWA Function
Author(s) -
Beliakov Gleb
Publication year - 2018
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.21913
Subject(s) - monotone polygon , mathematics , function (biology) , monotonic function , mathematical optimization , algorithm , quantifier (linguistics) , computer science , artificial intelligence , evolutionary biology , biology , mathematical analysis , geometry
This paper advocates the use of weighted ordered weighted averaging (WOWA) functions in decision‐making processes, where the alternatives are not directly comparable. In particular, WOWA allows one to compare the strongest points of each alternative, also weighted by the importance of each criterion. Four different approaches to applying weights in OWA functions are reviewed. Torra's method based on interpolating regular increasing monotone quantifier and the pruned n‐ary tree are compared to the WOWA obtained from recently proposed implicit averaging. Computationally efficient algorithms are outlined. The use of WOWA is illustrated in several examples.