Minimum of Fuzzy Numbers with a Fuzzy Set of Operands

Minimum of Fuzzy Numbers with a Fuzzy Set of Operands

We analyze the operation of minimization with a fuzzy set of the indices of operands for fuzzy numbers. It is shown that the result of this operation is a type-2 fuzzy set, which can be decomposed, by secondary degrees of membership, into a collection of corresponding fuzzy numbers. This decompositi...

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Veröffentlicht in:Cybernetics and systems analysis 2022-03, Vol.58 (2), p.210-219
1. Verfasser: Mashchenko, S. O.
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Control
Decomposition
Fuzzy sets
Mathematics
Mathematics and Statistics
Processor Architectures
Software Engineering/Programming and Operating Systems
Systems Theory
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Zusammenfassung:We analyze the operation of minimization with a fuzzy set of the indices of operands for fuzzy numbers. It is shown that the result of this operation is a type-2 fuzzy set, which can be decomposed, by secondary degrees of membership, into a collection of corresponding fuzzy numbers. This decomposition helps to represent the resulting type-2 fuzzy set in a form that is easy to understand and use. An illustrative example is given.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-022-00452-3