Determination of the duals of classical sets of sequences of fuzzy numbers and related matrix transformations

被引：63

作者：

Talo, Oezer ^{[2
]}

Basar, Feyzi ^{[1
]}

机构：

[1] Fatih Univ, Fen Edebiyat Fak, Matemat Bolumu, TR-34500 Istanbul, Turkey

[2] Anadolu Lisesi Matemat Ogretmeni, TR-44170 Malatya, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 04期

关键词：

Set of the sequences of fuzzy numbers; alpha-dual; beta-dual; gamma-dual and matrix transformations; CONVERGENCE; SPACES;

D O I：

10.1016/j.camwa.2009.05.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The convergence of a series of fuzzy sets was examined via Zadeh's Extension Principle by M. Stojakovic and Z. Stojakovic [M. Stojakovic, Z. Stojakovic, Addition and series of fuzzy sets, Fuzzy Sets and Systems 83 (1996), 341-346]. Since the utilization of this approach is quite difficult in practice, we prefer the idea of using the sum of the series of lambda-level sets. The main purpose of the present paper is to determine the alpha-, beta- and gamma-duals of the classical sets of sequences of fuzzy numbers and is to give the necessary and sufficient conditions on an infinite matrix of fuzzy numbers transforming one of the classical sets to the another one. Published by Elsevier Ltd

引用

页码：717 / 733

页数：17

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