An Approach Based on Power Generalized Aggregation Operator to Decision Making

Abstract:

The power average (PA) operator and power generalized mean (PGM) operator, proposed by Yager [15], are the nonlinear weighted aggregation tools whose weighting vectors depend on input arguments. In this paper, we study the power generalized mean (PGM) operator and its weighted form, and develop a power ordered weighted generalized mean (POWGM) operator, and study some properties of these operators. The relationship between the PGM operator and other existing operators is also discussed. Moreover, we utilize the weighted PGM operator to develop an approach to group decision making.

• Periodical: Advanced Materials Research (Volumes 542-543)
• Pages: 198-203
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.542-543.198
• Online since: June 2012
• Authors: Jin Han Park, Jong Jin Seo, Young Chel Kwun, Ja Hong Koo
• Keywords: Group Decision Making, Power Generalized Mean Operator, Power Ordered Weighted Generalized Mean Operator

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