Abstract

Fuzzy intervals are classified as regular or irregular based on the defuzzification method. A fuzzy interval is regular if its membership function is maximized at its defuzzified value. If the center-of-area method or the fuzzy-mean method is used, the regularity of a fuzzy interval is preserved after applying an arithmetic operation with nonzero real number. Further, the regularities based on the center-of-area method are preserved after addition and subtraction operations on two or more regular fuzzy intervals. >

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