Paradoxical functions on the interval
نویسندگان
چکیده
منابع مشابه
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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Based on the concept of an interval-valued function which is motivated by the goal to represent an uncertain function, we define the Choquet integral with respect to a fuzzy measure of intervalvalued functions. We also discuss convergence in the C mean and convergence in a fuzzy measure of sequences of measurable interval-valued functions. In particular, we investigate the convergence theorem f...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1994
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1994-1172952-3