Journal
SOFT COMPUTING
Volume 17, Issue 1, Pages 63-70Publisher
SPRINGER
DOI: 10.1007/s00500-012-0903-8
Keywords
Fuzzy soft sets; Soft information order; Complete Heyting algebras; Soft set satisfaction problems
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Funding
- National Science Foundation of China [60873119]
- Higher School Doctoral Subject Foundation of Ministry of Education of China [200807180005]
- Education Department of Shaanxi Province of China [2010JK831]
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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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