Parameterized additive neat OWA operators with different orness levels: Research Articles

  • Authors:
  • Xinwang Liu;Hongwei Lou

  • Affiliations:
  • School of Economics and Management, Southeast University, Nanjing, China, 210096;Department of Mathematics, Fudan University, Shanghai, China, 200433

  • Venue:
  • International Journal of Intelligent Systems
  • Year:
  • 2006

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Abstract

The article proposes an extension of the BADD OWA operator—ANOWA (additive neat OWA) operator—and defines its orness measure. Some properties of the weighting function associated with orness level are analyzed. Then two special classes of ANOWA operator with maximum entropy and minimum variance are proposed, and the orness of the BADD OWA operator is discussed. For a given orness level, these ANOWA operators can be uniquely determined. Their aggregation values for any aggregation elements set always monotonically increase with their orness levels. Therefore they can be used as a parameterized aggregation method with orness as its control parameter and to represent the decision maker's preference. © 2006 Wiley Periodicals, Inc. Int J Int Syst 21: 1045–1072, 2006.