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Convergence and numbers

✍ Scribed by Roman Frič

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
544 KB
Volume
70
Category
Article
ISSN
0166-8641

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📜 SIMILAR VOLUMES

Graded numbers and graded convergence of
Graded numbers and graded convergence of fuzzy numbers
✍ JoséA. Herencia 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 795 KB

We apply the concept of "graded set" to define several kinds of "graded numbers". We consider the operations, order and convergence for graded numbers. The relationship between these concepts and the corresponding ones for Zadeh's and Hutton's fuzzy numbers gives rise to the definition of "graded co

Lacunary statistical convergence of sequ
Lacunary statistical convergence of sequences of fuzzy numbers
✍ Fatih Nuray 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 158 KB

The sequence X = {Ark } of fuzzy numbers is statistically convergent to the fuzzy number 3(o provided that for each e ~ 0 lim l{the number ofk~e} = 0. n In this paper we study a related concept of convergence in which the set {k: k<~n} is replaced by {k: kr-1 -~k<~kr} for some lacunary sequence {k~}

On the convergence and representation of
On the convergence and representation of random fuzzy number integrals
✍ Xiaoping Xue; Xiaomin Wang; Lizhong Wu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 424 KB

In this paper, a new kind of convergence, w-s convergence is introduced for certain type of fuzzy numbers taking values in separable reflexive Banach spaces. The convergence theorem of random fuzzy number integrals in the w-s sense is given and a condition, under which a fuzzy number function can be