Preprint Review Version 1 Preserved in Portico This version is not peer-reviewed

Some Construction Methods of Aggregation Operators in Decision Making Problems: An Overview

Version 1 : Received: 31 January 2020 / Approved: 31 January 2020 / Online: 31 January 2020 (13:57:17 CET)

A peer-reviewed article of this Preprint also exists.

Zahedi Khameneh, A.; Kilicman, A. Some Construction Methods of Aggregation Operators in Decision-Making Problems: An Overview. Symmetry 2020, 12, 694. Zahedi Khameneh, A.; Kilicman, A. Some Construction Methods of Aggregation Operators in Decision-Making Problems: An Overview. Symmetry 2020, 12, 694.

Journal reference: Symmetry 2020, 12, 694
DOI: 10.3390/sym12050694

Abstract

Aggregating data is the main line of any discipline dealing with fusion of information from the knowledge-based systems to the decision-making. The purpose of aggregation methods is to convert a list of objects, all belonging to a given set, into a single representative object of the same set usually by an n-ary function, so-called aggregation operator. Since the useful aggregation functions for modeling real-life problems are limit, the basic problem is to construct a proper aggregation operator for each situation. During the last decades, a number of construction methods for aggregation functions have been developed to build new classes based on the well-known operators. This paper reviews some of these construction methods where they are based on transformation, composition and weighted rule.

Subject Areas

aggregation operators; composite aggregation operators; weighted aggregation operators; transformation; duality; group decision making

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