In this paper, we propose a three-phase multi-attribute ranking approach having as outcomes of the modeling phase what we refer to as net superiority and inferiority indexes. These are defined as bounded differences between the classical superiority and inferiority indexes. | A multi-attribute ranking approach based on net inferiority and superiority indexes two weight vectors and generalized Heronian means Decision Science Letters 8 2019 471 482 Contents lists available at GrowingScience Decision Science Letters homepage dsl A multi-attribute ranking approach based on net inferiority and superiority indexes two weight vectors and generalized Heronian means Moufida Hidouria and Abdelwaheb Rebaïa aLaboratory of Modeling and Optimization for Decisional Industrial and Logistic Systems MODILS Faculty of Economics and Management University of Sfax Airport street Km 4 . Box 1088 Sfax 3018 Tunisia CHRONICLE ABSTRACT Article history In this paper we propose a three-phase multi-attribute ranking approach having as outcomes of Received November 18 2018 the modeling phase what we refer to as net superiority and inferiority indexes. These are defined Received in revised format as bounded differences between the classical superiority and inferiority indexes. The suggested December 28 2018 approach herein named MANISRA Multi-Attribute Net Inferiority and Superiority based Accepted April 21 2019 Available online Ranking Approach employs in the aggregation phase a bi-parameterized family of compound April 27 2019 averaging operators CAOPs referred to as generalized Heronian OWAWA GHROWAWA Keywords operators having the usual OWAWA operators as special instances. Note that the new defined Multi-attribute ranking operators are built by using a composition of an arbitrary bi-parameterized binary Heronian mean Averaging operator with the weighted average WA and the ordered weighted averaging OWA operators. Also Generalized Heronian mean note that the current developed MANISRA method generalizes the superiority and inferiority Inferiority ranking SIR-SAW method which is known to coincide with the quite popular PROMETHEE Superiority II method when the net flow rule is used. With net superiority and inferiority indexes and GHROWAWA
