Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 7, Pages 4915-4923Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.10.015
Keywords
Soft sets; Multi-fuzzy sets; Multi-fuzzy soft sets; Decision making
Funding
- National Science Foundation of China [61163036]
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Molodtsov's soft set theory was originally proposed as a general mathematical tool for dealing with uncertainty. By combining the multi-fuzzy set and soft set models, the purpose of this paper is to introduce the concept of multi-fuzzy soft sets. Some operations on a multi-fuzzy soft set are defined, such as complement operation, AND and OR operations, Union and Intersection operations. Then, the DeMorgan's laws are proved. Finally, by means of level soft set, an algorithm is presented, and a decision problem is analyzed using multi-fuzzy soft set. (C) 2012 Elsevier Inc. All rights reserved.
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