UDC 519.8
MINIMUM OF FUZZY NUMBERS WITH A FUZZY SET OF OPERANDS
Abstract. The operation of minimization with a fuzzy set of operand indices for fuzzy numbers is investigated. 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.
Keywords: fuzzy number, fuzzy set, type-2 fuzzy set.
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