Fuzzy harmonic mean operators

Authors:
Zeshui Xu
Affiliations:
School of Economics and Management, Southeast University, Nanjing, Jiangsu, 210 096, P. R. China
Venue:
International Journal of Intelligent Systems
Year:
2009

Citing 0
Cited 14

Induced and uncertain heavy OWA operators

Computers and Industrial Engineering
Decision-making with distance measures and induced aggregation operators

Computers and Industrial Engineering
FIOWHM operator and its application to multiple attribute group decision making

Expert Systems with Applications: An International Journal
Fuzzy induced generalized aggregation operators and its application in multi-person decision making

Expert Systems with Applications: An International Journal
A unified model between the weighted average and the induced OWA operator

Expert Systems with Applications: An International Journal
Uncertain induced aggregation operators and its application in tourism management

Expert Systems with Applications: An International Journal
Fuzzy aggregation operators in decision making with Dempster-Shafer belief structure

Expert Systems with Applications: An International Journal
Uncertain pure linguistic hybrid harmonic averaging operator and generalized interval aggregation operator based approach to group decision making

Knowledge-Based Systems
The ordered multiplicative modular geometric operator

Knowledge-Based Systems
2-Tuple linguistic harmonic operators and their applications in group decision making

Knowledge-Based Systems
Hesitant triangular fuzzy information aggregation based on Einstein operations and their application to multiple attribute decision making

Expert Systems with Applications: An International Journal
Relative entropy method for fuzzy multiple attribute decision making and its application to software quality evaluation

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
The quasi-arithmetic triangular fuzzy OWA operator based on Dempster-Shafer theory

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Hesitant triangular fuzzy information aggregation in multiple attribute decision making

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.01

Visualization

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.