General fuzzy decision systems. (English) Zbl 0934.91007

The article proposes a general theory of fuzzy decision systems (GFDS) over a decision space \((\mathbf{U}, C)\), where \(\mathbf{U}\) is a set of variants and \(C\) is a set of criteria. This theory is based on the notion of fuzzy implication between fuzzy set and knowledge base. First there is defined a fuzzy inclusion relation and its connection with fuzzy deduction. Then a general fuzzy decision system is defined and its properties are studied. Finally there are investigated relations between general fuzzy decision systems, which are defined by means of pre-order relations on the set of GFDS.


91B06 Decision theory


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