Homomorphism Between Fuzzy Set-Valued Information Systems
Communication between various information systems (IS) has been an urgent issue that needs to be discussed in the granular world. Compatible and consistent homomorphism is an important analytical tool to study communication among various IS. Fuzzy set-valued information systems (FSIS) are those IS that contain fuzzy set-values for some attribute. This paper aims to discuss important properties related to communication between FSIS. Fuzzy relation mapping from the perspective of FSIS is discussed. The proposed approach proved that feature selection and other properties of the original FSIS and the corresponding image FSIS are assured under consistent and compatible homomorphism. Finally, a real-life example demonstrated the utilization of the proposed work.
KeywordsFuzzy set-valued information systems Homomorphism Feature selection Fuzzy relation mapping
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