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Soft Computing
Erschienen in: Soft Computing 9/2016

05.08.2015 | Focus

Weight computation of criteria in a decision-making problem by knowledge measure with intuitionistic fuzzy set and interval-valued intuitionistic fuzzy set

verfasst von: Satyajit Das, Bapi Dutta, Debashree Guha

Erschienen in: Soft Computing | Ausgabe 9/2016

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Abstract

The aim of this study is to propose an objective method for determining weights of criteria (also called attributes) based on a new measure of intuitionistic fuzzy information, called knowledge measure, in a real-world multi-criteria decision-making problem under intuitionistic fuzzy and interval-valued intuitionistic fuzzy environment. To address this issue, we first analyze the existing entropy measures and show that their use in objective weight determination process may lead us to produce unreliable weights of criteria by citing appropriate examples. Then we analyze important properties of knowledge measure of intuitionistic fuzzy set (IFS) and also define knowledge measure for interval-valued intuitionistic fuzzy set. Then a new method to determine the weights of criteria is developed on the basis of knowledge measure where information about criteria weights is completely unknown and partly known. A real-life example is presented to illustrate the proposed weight determination method and a comparative analysis is carried out to indicate the practicality and effectiveness of knowledge-based weight-generation method under both intuitionistic fuzzy and interval-valued intuitionistic fuzzy environment. Finally, we formulate the axioms for knowledge measure associated with IFSs and we also propose families (classes) of knowledge measures.
Vorheriger Artikel Hierarchical classification in text mining for sentiment analysis of online news
Nächster Artikel Decomposition-based multi-objective evolutionary algorithm for vehicle routing problem with stochastic demands

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Metadaten
Titel
Weight computation of criteria in a decision-making problem by knowledge measure with intuitionistic fuzzy set and interval-valued intuitionistic fuzzy set
verfasst von
Satyajit Das
Bapi Dutta
Debashree Guha
Publikationsdatum
05.08.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 9/2016
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-015-1813-3

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