Abstract
In this paper, a new order relation on fuzzy soft sets, called soft information order, is introduced and its application to decision-making is investigated. It is shown that the collection of all fuzzy soft sets (over a given universe set), equipped with this new order, forms a complete Heyting algebra. The representation theorem of fuzzy soft sets with respect to the soft information order is also obtained. We initiate the concepts of soft set satisfaction problems and their solutions. An algorithm is presented to solve such decision-making problems.
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Acknowledgments
The authors are highly grateful to the reviewers for their very insightful suggestions. This work is supported by National Science Foundation of China (Grant No.60873119), the Higher School Doctoral Subject Foundation of Ministry of Education of China under Grant 200807180005, and a research grant from the Education Department of Shaanxi Province of China (No. 2010JK831).
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Guan, X., Li, Y. & Feng, F. A new order relation on fuzzy soft sets and its application. Soft Comput 17, 63–70 (2013). https://doi.org/10.1007/s00500-012-0903-8
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DOI: https://doi.org/10.1007/s00500-012-0903-8