Paper Info
Title
Generalised Fuzzy Weighted Mean And Its Applications
Abstract
Fuzzy weighted arithmetic average or fuzzy weighted average (FWA) for short has been deeply studied. However, no attention has been paid to other fuzzy weighted means such as fuzzy weighted geometric mean (FWGM), fuzzy weighted harmonic mean (FWHM) and the like. This paper presents a very general fuzzy weighted mean, which we refer to as generalised fuzzy weighted mean (GFWM). It includes FWA, FWGM, FWHM, fuzzy weighted quadratic mean (FWQM) and fuzzy weighted root-power mean (FWRM) as its special cases. Linear programming models for solving GFWM and its special cases are developed and the order relationships among FWA, FWGM and FWHM are investigated. Numerical examples that illustrate the computational processes of FWA, FWGM and FWHM are provided and their order relationships are numerically examined.
Year
DOI
Venue
2009
10.1080/03081070902753556
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Keywords
Field
DocType
fuzzy weighted average, fuzzy weighted geometric mean, fuzzy weighted harmonic mean, generalised fuzzy weighted mean
Discrete mathematics,Weight function,Harmonic mean,Fuzzy logic,Weighted geometric mean,Weighted median,Ordered weighted averaging aggregation operator,Mean square weighted deviation,Method of mean weighted residuals,Mathematics
Journal
Volume
Issue
ISSN
38
5
0308-1079
Citations 
PageRank 
References 
11
0.61
8
Authors
2
Name
Order
Citations
PageRank
Ying-Ming Wang13256166.96
Ying Luo246720.48