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Soft Computing

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15.03.2016 | Foundations

A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemirings and corresponding decision making

verfasst von: Jianming Zhan, Kuanyun Zhu

Erschienen in: Soft Computing | Ausgabe 8/2017

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Abstract

This paper introduces the notion of Z-soft rough fuzzy sets of hemirings, which is an extended notion of soft rough sets and rough fuzzy sets. It is pointed out that this novel concept removes the limiting condition that full soft sets require in Feng-soft rough fuzzy sets and Meng-soft rough fuzzy sets. We study roughness in hemirings with respect to a ZS-approximation space. Some new soft rough fuzzy operations over hemirings are explored. In particular, Z-lower and Z-upper soft rough fuzzy ideals (k-ideals, h-ideals, strong h-ideals) are investigated. Finally, we put forth an approach for decision making problem based on Z-soft rough fuzzy sets and give an example. Corresponding decision making methods based on Z-soft rough fuzzy sets are analysed.

Vorheriger Artikel Fuzzy prime and maximal filters of residuated lattices

Nächster Artikel Multi-view spectral clustering via robust local subspace learning

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Titel: A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemirings and corresponding decision making
verfasst von: Jianming Zhan
Kuanyun Zhu
Publikationsdatum: 15.03.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 8/2017
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-016-2119-9

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