N-soft rough sets and its applications

In this paper, we propose a new hybrid model called N-soft rough sets, which can be seen as a combination of rough sets and N-soft sets. Moreover, approximation operators and some useful properties with respect to N-soft rough approximation space are introduced. Furthermore, we propose decision maki...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 40; no. 1; pp. 565 - 573
Main Authors Zhang, Di, Li, Pi-Yu, An, Shuang
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.01.2021
Sage Publications Ltd
Subjects
Algorithms
Approximation
Decision making
Mathematical analysis
Multiple criterion
N-soft rough sets
Decision making analysis
Rough sets
N-soft sets
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Summary:In this paper, we propose a new hybrid model called N-soft rough sets, which can be seen as a combination of rough sets and N-soft sets. Moreover, approximation operators and some useful properties with respect to N-soft rough approximation space are introduced. Furthermore, we propose decision making procedures for N-soft rough sets, the approximation sets are utilized to handle problems involving multi-criteria decision-making(MCDM), aiming at electing the optional objects and the possible optional objects based on their attribute set. The algorithm addresses some limitations of the extended rough sets models in dealing with inconsistent decision problems. Finally, an application of N-soft rough sets in multi-criteria decision making is illustrated with a real life example.
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ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-200338