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In this paper, the generalized ordered weighted exponential multiple averaging (GOWEMA) operator is developed based on a minimization problem with penalty function. It unifies the geometric mean and the generalized ordered weighted averaging (GOWA) operator with the generalized ordered weighted harmonic averaging (GOWHA) operator in the same formulation. Then the main properties and families of the new operator are investigated. Moreover, an orness measure of the GOWEMA operator and the generalized lest squares method (GLSM) are presented to determine the GOWEMA operator weights. Finally, we give a numerical example of an investment selection to illustrate the application of the GOWEMA operator to multiple attribute group decision making.<\/jats:p>","DOI":"10.3233\/ifs-151606","type":"journal-article","created":{"date-parts":[[2015,10,6]],"date-time":"2015-10-06T12:01:50Z","timestamp":1444132910000},"page":"397-410","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Generalized exponential multiple averaging operator and its application to group decision making"],"prefix":"10.1177","volume":"29","author":[{"given":"Ligang","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei, Anhui, China"},{"name":"Signal and Image Processing Institute, Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA"}]},{"given":"Peng","family":"Wu","sequence":"additional","affiliation":[{"name":"School of 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