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Erschienen in: Neural Computing and Applications 11/2018

04.03.2017 | Original Article

A complete ranking of trapezoidal fuzzy numbers and its applications to multi-criteria decision making

verfasst von: Dhanasekaran Ponnialagan, Jeevaraj Selvaraj, Lakshmana Gomathi Nayagam Velu

Erschienen in: Neural Computing and Applications | Ausgabe 11/2018

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Abstract

The problem (or scenario) involving qualitative or imprecise information is not solvable by classical set theory. To overcome the shortcoming of classical set theory, Zadeh (Inf Control 8(3):338–356, 26) introduced the concept of fuzzy sets that generalizes the concept of classical sets. Fuzzy set theory allows modelling and handling of imprecise information in an effective way. As a special class of fuzzy sets, fuzzy numbers (FN) which are very much important in decision making was introduced by Dubois and Prade (Int J Syst Sci 9:631–626, 12). The available methods for solving multi-criteria decision making problems (MCDM) are problem dependent in nature due to the partial ordering on the class of FN. Total ordering on the class of FN by countable number of real-valued parameters was achieved by Wang and Wang (Fuzzy Sets Syst 243:131–141, 21). A complete ranking on the class of trapezoidal fuzzy numbers (TrFNs) using finite number of score functions is achieved in this paper. In this paper, a new ranking procedure (complete) on the class of TrFNs using the concepts of mid-point, radius, left and right fuzziness of TrFN is proposed and further we introduce a method for solving fuzzy multi-criteria decision making (Fuzzy MCDM) problem. Finally, comparisons of our proposed method with familiar existing methods are listed.

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Metadaten
Titel
A complete ranking of trapezoidal fuzzy numbers and its applications to multi-criteria decision making
verfasst von
Dhanasekaran Ponnialagan
Jeevaraj Selvaraj
Lakshmana Gomathi Nayagam Velu
Publikationsdatum
04.03.2017
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 11/2018
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-017-2898-7

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