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Intuitionistic fuzzy Einstein Choquet integral operators for multiple attribute decision making

    Yejun Xu Affiliation
    ; Huimin Wang Affiliation
    ; José M. Merigó Affiliation

Abstract

In this paper, we propose some new aggregation operators which are based on the Choquet integral and Einstein operations. The operators not only consider the importance of the elements or their ordered positions, but also consider the interactions phenomena among the decision making criteria or their ordered positions. It is shown that the proposed operators generalize several intuitionistic fuzzy Einstein aggregation operators. Moreover, some of their properties are investigated. We also study the relationship between the proposed operators and the existing intuitionistic fuzzy Choquet aggregation operators. Furthermore, an approach based on intuitionistic fuzzy Einstein Choquet integral operators is presented for multiple attribute decision-making problem. Finally, a practical decision making problem involving the water resource management is given to illustrate the multiple attribute decision making process.

Keyword : Einstein operations, intuitionistic fuzzy set, fuzzy measure, intuitionistic fuzzy Einstein Choquet aggregation operators

How to Cite
Xu, Y., Wang, H., & Merigó, J. M. (2014). Intuitionistic fuzzy Einstein Choquet integral operators for multiple attribute decision making. Technological and Economic Development of Economy, 20(2), 227-253. https://doi.org/10.3846/20294913.2014.913273
Published in Issue
Jun 27, 2014
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