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Generalized Multi-fuzzy Soft Set and Its Application in Decision Making

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 367)

Abstract

The soft set theory, proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By introducing a generalization parameter which itself is multi-fuzzy, we define generalized multi-fuzzy soft sets which are an extension to the multi-fuzzy soft sets. Some operations on a generalized multi-fuzzy soft set are investigated, such as complement operation, union and intersection operations, “AND” and “OR” operations. Finally, application of generalized multi-fuzzy soft sets in decision making problems has been shown.

Keywords

Multi-fuzzy set Multi-fuzzy soft set Generalized multi-fuzzy soft set Decision making 

Notes

Acknowledgments

The authors would like to thank the anonymous referees for their valuable comments and suggestions. This work is supported by the National Natural Science Foundation of China (No. 71261022) and the Fundamental Research Funds for the Central Universities of Northwest University for Nationalities (No. 31920130003).

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.School of Mathematics and Computer ScienceNorthwest University for NationalitiesLanzhouChina

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