OWA operators for discrete gradual intervals: implications to fuzzy intervals and multi-expert decision making.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1389.90196
author: Zdenko Takáč
published in: Kybernetika
publication date: 2016-10-26T00:00:00Z
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 6644301
zbMATH Keywords: OWA operator
zbMATH Keywords: ordered weighted averaging operator
zbMATH Keywords: gradual number
zbMATH Keywords: gradual interval
zbMATH Keywords: fuzzy interval
zbMATH Keywords: linear order
zbMATH Keywords: total order
zbMATH Keywords: multi-expert decision making
zbMATH Keywords: type-2 fuzzy set
MaRDI profile type: Publication
full work available at URL: kyb-2016-3-0379
OpenAlex ID: W2472202103
DOI: 10.14736/KYB-2016-3-0379
title: OWA operators for discrete gradual intervals: implications to fuzzy intervals and multi-expert decision making.
review text: The author investigates recently introduced notions of (discrete) gradual real numbers and proposes a class of linear orders for them. Next, a class of linear orders for discrete gradual intervals (that represent a generalization of fuzzy intervals) is presented. Subsequently, OWA operators for discrete gradual real numbers as well as for discrete gradual intervals are introduced. As an illustration of the developed methodology, a multi-expert decision making problem is considered. It concerns an example of an optimization problem of a hospital that intends to buy one of three possible kinds of an apparatus appropriate for five different diagnoses. It would make this example more interesting if some more concrete real life information concerning the possible kind of apparatus and diagnoses was presented. (Let us note that purchasing CT devices for hospitals was recently accompanied by medialised scandals.)
description: scientific article; zbMATH DE number 6644301