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Neural Computing and Applications
Erschienen in: Neural Computing and Applications 1/2019

26.04.2017 | Original Article

Probabilistic soft sets and dual probabilistic soft sets in decision-making

verfasst von: Fatia Fatimah, Dedi Rosadi, RB. Fajriya Hakim, José Carlos R. Alcantud

Erschienen in: Neural Computing and Applications | Sonderheft 1/2019

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Abstract

Since its introduction by Molodstov (Computers & Mathematics with Applications 37(4):19–31 1999), soft set theory has been widely applied in various fields of study. Soft set theory has also been combined with other theories like fuzzy sets theory, rough sets theory, and probability theory. The combination of soft sets and probability theory generates probabilistic soft set theory. However, decision-making based on the probabilistic soft set theory has not been discussed in the literature. In this paper, we propose new algorithms for decision-making based on the probabilistic soft set theory. An example to show the application of these algorithms is given, and its possible extensions and reinterpretations are discussed. Inspired by realistic situations, the notion of dual probabilistic soft sets is proposed, and also, its application in decision-making is investigated.
Vorheriger Artikel A spheres-based support vector machine for pattern classification
Nächster Artikel Self-compacting concrete strength prediction using surrogate models

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Fußnoten
1
Concerning the determination of weights, Liu et al. [31] and Winkler [41] provide arguments.
 
2
Peng and Yang [36] is another recent reference on the applicability of regret theory to an extended model of soft sets with a stochastic component, namely, interval-valued fuzzy soft sets.
 
3
Examples in Alcantud [2] show that when dominated alternatives are not eliminated, zero elements can appear at the C comparison matrix. For such reason, we cannot ensure a correct performance of the Perron-Frobenius argument for examples with dominated alternatives.
 
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Metadaten
Titel
Probabilistic soft sets and dual probabilistic soft sets in decision-making
verfasst von
Fatia Fatimah
Dedi Rosadi
RB. Fajriya Hakim
José Carlos R. Alcantud
Publikationsdatum
26.04.2017
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe Sonderheft 1/2019
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-017-3011-y

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