Functional Partial Fuzzy Relations

Martina Daňková
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Martina Daňková: Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic

Mathematics, 2021, vol. 9, issue 18, 1-20

Abstract: We study fuzzy relations that satisfy the functionality property and that their membership functions can be partial functions. Such fuzzy relations are called partial fuzzy relations, and the variable-domain fuzzy set theory is a framework that provides powerful tools for handling these objects. There, the special operations based on connectives and quantifiers of a partial fuzzy logic are in use. The undefined degrees of membership are carried via those special operations. Furthermore, we show that a suitable combination of these operations leads to a meaningful definition of the functionality property, and we investigate its basic characteristics.

Keywords: fuzzy function; partial fuzzy relation; undefined values; functionality property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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