On aggregation operators for ordinal qualitative information

Authors
Citation
L. Godo et V. Torra, On aggregation operators for ordinal qualitative information, IEEE FUZ SY, 8(2), 2000, pp. 143-154
Citations number
26
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON FUZZY SYSTEMS
ISSN journal
10636706 → ACNP
Volume
8
Issue
2
Year of publication
2000
Pages
143 - 154
Database
ISI
SICI code
1063-6706(200004)8:2<143:OAOFOQ>2.0.ZU;2-X
Abstract
In many fuzzy systems applications, values to be aggregated are of a qualit ative nature. In that case, if one wants to compute some type of average, t he most common procedure is to perform a numerical interpretation of the va lues, and then apply one of the well-known (the most suitable) numerical ag gregation operators. However, if one wants to stick to a purely qualitative setting, choices are reduced to either weighted versions of max-min combin ations or to a few existing proposals of qualitative versions of OWA operat ors. In this paper, we explore the feasibility of defining a qualitative co unterpart of the weighted mean operator without having to use necessarily a ny numerical interpretation of the values. We propose a method to average q ualitative values, belonging to a (finite) ordinal scale, weighted with nat ural numbers, and based on the use of finite t-norms and t-conorms defined on the scale of values. Extensions of the method for other OWA-like :Ind Ch oquet integral-type aggregations are also considered.