ON SOME STRUCTURES OF FUZZY NUMBERS

被引：0

作者：

Maturo, A. ^{[1
]}

机构：

[1] Univ G dAnnunzio, Dept Social Sci, I-66013 Chieti, Italy

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2009年 / 6卷 / 04期

关键词：

Fuzzy numbers; Fuzzy algebraic structures; Alternative fuzzy operations; Fuzzy hyperoperations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The operations ill the set of fuzzy numbers are usually obtained by the Zadeh extension principle. But these definitions can have some disadvantages for the applications both by all algebraic point of view and by practical aspects. In fact the Zadeh multiplication is riot distributive with respect to the addition, the shape of fuzzy numbers is not preserved by multiplication, the indeterminateness of the sum is too increasing. Then, for the applications ill the Natural and Social Sciences it is important to individuate some suitable variants of the classical addition and multiplication of fuzzy numbers that have not the previous disadvantage. Here, some possible. alternatives to the Zadeh operations are studied.

引用

页码：49 / 59

页数：11

共 24 条

[1]

[Anonymous], THESIS TOKYO

[2]

[Anonymous], ANAL FUZZY INFORM

[3]

[Anonymous], J BASIC SCI

[4]

Bede B, 2006, ACTA POLYTECH HUNG, V3, P123

[5]

Corsini P., 2003, Advances in Mathematics

[6]

Corsini P., 1993, PROLEGOMENA HYPERGRO

[7]

De Finetti B., 1974, Theory of Probability, VI

[8]

HOSKOVA S, 2008, THESIS U OSTRAVA, P90

[9] Discrete transformation hypergroups and transformation hypergroups with phase tolerance space [J].

Hoskova, Sarka ;

Chvalina, Jan .

DISCRETE MATHEMATICS, 2008, 308 (18) :4133-4143

[10]

Klir G., 1995, FUZZY SETS FUZZY LOG, V4

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