Fuzzy harmonic mean operators

Zeshui Xu

102 citations0/0 files storedInternational Journal of Intelligent Systems

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Multi-Criteria Decision Making Fuzzy and Soft Set Theory Fuzzy Systems and Optimization

Abstract

Harmonic mean is a conservative average, which is widely used to aggregate central tendency data. In the existing literature, the harmonic mean is generally considered as a fusion technique of numerical data information. In this paper, we investigate the situations in which the input data are expressed in fuzzy values and develop some fuzzy harmonic mean operators, such as fuzzy weighted harmonic mean operator, fuzzy ordered weighted harmonic mean operator, fuzzy hybrid harmonic mean operator, and so on. Especially, all these operators can be reduced to aggregate interval or real numbers. Then based on the developed operators, we present an approach to multiple attribute group decision making and illustrate it with a practical example. © 2008 Wiley Periodicals, Inc.

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References

1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 1983A fuzzy extension of Saaty's priority theory 1955Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility 2005An overview of methods for determining OWA weights 2003An overview of operators for aggregating information 1997The Ordered Weighted Averaging Operators 2002The uncertain OWA operator 2001Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations

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