Generalized fuzzy Bonferroni harmonic mean operators and their applications in group decision making
type: Item
instance of: scholarly article
title: Generalized fuzzy Bonferroni harmonic mean operators and their applications in group decision making
zbMATH Open document ID: 1397.91144
DOI: 10.1155/2013/604029
author: Jin Han Park
author: Eun Jin Park
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: The Bonferroni mean (BM) operator is an important aggregation technique which reflects the correlations of aggregated arguments. Based on the BM and harmonic mean operators, \textit{H. Sun} and \textit{M. Sun} [``Generalized Bonferroni harmonic mean operators and their application to multiple attribute decision making'', J. Comput. Inf. Syst. 8, No. 14, 5717--5724 (2012)] developed the fuzzy Bonferroni harmonic mean (FBHM) and fuzzy ordered Bonferroni harmonic mean (FOBHM) operators. In this paper, we study desirable properties of these operators and extend them, by considering the correlations of any three aggregated arguments instead of any two, to develop generalized fuzzy weighted Bonferroni harmonic mean (GFWBHM) operator and generalized fuzzy ordered weighted Bonferroni harmonic mean (GFOWBHM) operator. In particular, all these operators can be reduced to aggregate interval or real numbers. Then based on the GFWBHM and GFOWBHM operators, we present an approach to multiple attribute group decision making and illustrate it with a practical example.
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 6950778
Wikidata QID: Q59003280
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/604029
OpenAlex ID: W2085324497
DBLP publication ID: journals/jam/ParkP13
description: scientific article; zbMATH DE number 6950778