Intuitionistic Fuzzy Reasoning under Quotient Space Structure
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This paper presents a theoretical basis of intuitionistic fuzzy reasoning under quotient space structure induced by an intuitionistic fuzzy equivalence relation. By constructing intuitionistic fuzzy set (IFS) representations of different grain-size spaces, the corresponding intuitionistic fuzzy reasoning method in quotient space and original universe space are studied and their relationships are then discussed.
KeywordsIntuitionistic fuzzy set Quotient space Intuitionistic fuzzy equivalence relation Approximate reasoning
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