An algorithm for group decision making using n -dimensional fuzzy sets, admissible orders and OWA operators

Date

2017

Director

Publisher

Elsevier
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

  • ES/1PE/TIN2016-77356/
Impacto

Abstract

In this paper we propose an algorithm to solve group decision making problems using n-dimensional fuzzy sets, namely, sets in which the membership degree of each element to the set is given by an in- creasing tuple of n elements. The use of these sets has naturally led us to define admissible orders for n-dimensional fuzzy sets, to present a construction method for those orders and to study OWA operators for aggregating the tuples used to represent the membership degrees of the elements. In these condi- tions, we present an algorithm and apply it to a case study, in which we show that the exploitation phase which appears in many decision making methods can be omitted by just considering linear orders between tuples.

Description

Keywords

Fuzzy multisets, N-dimensional fuzzy sets, OWA operator, Decision-making

Department

Automatika eta Konputazioa / Matematika / Institute of Smart Cities - ISC / Automática y Computación / Matemáticas

Faculty/School

Degree

Doctorate program

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© 2017 Elsevier B.V. The manuscript version is made available under the CC BY-NC-ND 4.0 license

Licencia

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