The ordered weighted geometric averaging operators

By Zeshui Xu, Qingli Da. International Journal of Intelligent Systems, 2002

350 citations recorded by the source corpus.

The ordered weighted averaging (OWA) operator was introduced by Yager. 1 The fundamental aspect of the OWA operator is a reordering step in which the input arguments are rearranged in descending order. In this article, we propose two new classes of aggregation operators called ordered weighted geometric averaging (OWGA) operators and study some desired properties of these operators. Some methods for obtaining the associated weighting parameters are discussed, and the relationship between the OWA and DOWGA operators is also investigated. © 2002 Wiley Periodicals, Inc.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/e0f0471bcab5f05948c6f53fbe3770b311fd97f5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

In Control and Systems Engineering

In Management Science and Operations Research

Citations in the corpus

Power-Geometric Operators and Their Use in Group Decision Making (2010, methodology): “The investigation on information aggregation has been receiving extensive attention from researchers and practitioners over the past decades, and a variety of operators have been developed to aggregate data information under various environments [1]–[5], such as the weighted-average operator [6], we”
Some geometric aggregation operators based on intuitionistic fuzzy sets (2006, methodology): “0 and P n j ¼ 1 v j ¼ 1, then a WG operator is deﬁned as (Saaty 1980, Acze´l and Saaty 1983, Willet and Sharda 1991, Benjamin et al. 1992, Xu 2000, Xu and Da 2003): Another geometric aggregation operator called the OWG operator based on the OWA operator (Yager 1988, Yager 1993, Yager and Kacprzyk 19”
A systematic review and meta-Analysis of SWARA and WASPAS methods: Theory and applications with recent fuzzy developments (2017, background): “Xu and Da [106] to propose the ordered weighted geometric (OWG) operator.”
Fuzzy multiple criteria decision-making techniques and applications - Two decades review from 1994 to 2014 (2015, background): “The MCDM approach fall into two categories (Bashiri, Badri, & Hejazi, 2011; Pawlak, 1982; Wang & Lee, 2009; Wang & Lee, 2007; Xu & Da, 2002): classical MCDM and fuzzy FMCDM (Wang, Lee, & Lin, 2003).”
An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations (2006, background): “The DM dlaD compares these alternatives with respect to a single criterion by the multiplicative linguistic terms in the set S={sa|a=1/t ,. .”
Induced uncertain linguistic OWA operators applied to group decision making (2006, background): “The OWA operator has been investigated in many documents [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] and used in an astonishingly wide ranger of applications [27] [28].”
Aggregation Functions: A Guide for Practitioners (2007, background): “Ordered weighted geometric function was studied in [125, 260].”