The solution equivalence of minimax disparity and minimum variance problems for OWA operators

Authors:
Xinwang Liu
Affiliations:
School of Economics and Management, Southeast University, Si Pau Lou 2, Nanjing, 210096 Jiangsu, PR China
Venue:
International Journal of Approximate Reasoning
Year:
2007

Citing 14
Cited 22

On ordered weighted averaging aggregation operators in multicriteria decisionmaking

IEEE Transactions on Systems, Man and Cybernetics
Families of OWA operators

Fuzzy Sets and Systems
Analytic properties of maximum entropy OWA operators

Information Sciences—Informatics and Computer Science: An International Journal
The ordered weighted averaging operators: theory and applications

The ordered weighted averaging operators: theory and applications
On the issue of obtaining OWA operator weights

Fuzzy Sets and Systems
Computing with words in intelligent database querying: standalone and internet-based application

Information Sciences—Informatics and Computer Science: An International Journal - Special issue computing with words
DFL-a dialog based integration of concept and rule reasoners

Data & Knowledge Engineering
An analytic approach for obtaining maximal entropy OWA operator weights

Fuzzy Sets and Systems
On obtaining minimal variability OWA operator weights

Fuzzy Sets and Systems - Theme: Multicriteria decision
A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators

Fuzzy Sets and Systems - Special issue: Preference modelling and applications
A minimax disparity approach for obtaining OWA operator weights

Information Sciences: an International Journal
Fuzzy modeling for intelligent decision making under uncertainty

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Decision making with fuzzy probability assessments

IEEE Transactions on Fuzzy Systems
On aggregation operators for ordinal qualitative information

IEEE Transactions on Fuzzy Systems

Two new models for determining OWA operator weights

Computers and Industrial Engineering
Aggregating preference rankings using OWA operator weights

Information Sciences: an International Journal
Preference relation approach for obtaining OWA operators weights

International Journal of Approximate Reasoning
Orness and parameterized RIM quantifier aggregation with OWA operators: A summary

International Journal of Approximate Reasoning
Fuzzy quantifiers in sensitivity analysis of OWA operator

Computers and Industrial Engineering
A general model of parameterized OWA aggregation with given orness level

International Journal of Approximate Reasoning
On the equivalence of some approaches to the OWA operator and RIM quantifier determination

Fuzzy Sets and Systems
MP-OWA: The most preferred OWA operator

Knowledge-Based Systems
The induced generalized OWA operator

Information Sciences: an International Journal
Weighted maximum entropy OWA aggregation with applications to decision making under risk

IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making

Applied Soft Computing
Improving minimax disparity model to determine the OWA operator weights

Information Sciences: an International Journal
New decision-making techniques and their application in the selection of financial products

Information Sciences: an International Journal
Continuous generalized OWA operator and its application to decision making

Fuzzy Sets and Systems
On proving the extended minimax disparity OWA problem

Fuzzy Sets and Systems
Induced aggregation operators in the Euclidean distance and its application in financial decision making

Expert Systems with Applications: An International Journal
Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making

Computers and Industrial Engineering
Models to determine parameterized ordered weighted averaging operators using optimization criteria

Information Sciences: an International Journal
Analysis of the impact of attitudinal character on the multicriteria decision making with OWA operators

International Journal of Intelligent Systems
Determining OWA operator weights by mean absolute deviation minimization

ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part I
Cluster-reliability-induced OWA operators

International Journal of Intelligent Systems
An analytic approach to obtain the least square deviation OWA operator weights

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

The aim of this paper is to answer the open question of Wang and Parkan (Information Sciences 175 (2005), 20-29) that the solutions of maximum entropy OWA operator problem under given orness level and the minimax disparity OWA operator problem under given orness level are equivalent. They both have the same equidifferent form, which composes a weighting vector of nonnegative arithmetic progression and zeros. This equidifferent OWA weighting vector generating method can also be seen as an improved solution method for the minimum variance and minimax dispersion problems respectively.