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Transitivity of interval and fuzzy-interval extensions of interval functions
Let I = [a, b] be a real compact interval and f : I → I a continuous function. Define Kc([a, b]) the class of all non empty compact subinterval of [a, b] and let f̄ the natural extension of f to Kc([a, b]), that is to say, f̄(J) = f(J) for all J ∈ I([a, b]). Also, let Fc([a, b]) the class of all fuzzy-intervals with support contained in [a, b] and consider f̂ the Zadeh’s extension of f to Fc([a, b...
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ژورنال
عنوان ژورنال: Japanese journal of mathematics :transactions and abstracts
سال: 1960
ISSN: 0075-3432,1861-3624
DOI: 10.4099/jjm1924.30.0_1