TOWARDS THE PROPERTIES OF FUZZY MULTIPLICATION FOR FUZZY NUMBERS

被引：3

作者：

Bica, Alexandru Mihai ^{[1
]}

Fechete, Dorina ^{[1
]}

Fechete, Ioan ^{[1
]}

机构：

[1] Univ Oradea, Dept Math & Informat, Oradea, Romania

来源：

KYBERNETIKA | 2019年 / 55卷 / 01期

关键词：

fuzzy number; semiring; fuzzy product distributivity; PARAMETRIC REPRESENTATION; CANONICAL REPRESENTATION; OPERATIONS; ARITHMETICS;

D O I：

10.14736/kyb-2019-1-0044

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, by using a new representation of fuzzy numbers, namely the ecart-representation, we investigate the possibility to consider such multiplication bet`ween fuzzy numbers that is fully distributive. The algebraic and topological properties of the obtained semiring are studied making a comparison with the properties of the existing fuzzy multiplication operations. The properties of the generated fuzzy power are investigated.

引用

页码：44 / 62

页数：19

共 42 条

[1] A FUNDAMENTAL THEOREM OF HOMOMORPHISMS FOR SEMIRINGS
ALLEN, PJ
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 21 (02) : 412 - &
[2] [Anonymous], 2006, INT J APPL MATH
[3] [Anonymous], 2011, J PHYS SCI
[4] Atani R.E., 2008, Bul. Acad. Stiiunte Rep. Mold. Matematica, V2, P14
[5] Atani R. Ebrahimi, 2008, B ACAD STIINTE REPUB, V57, P2
[6] Atani Shahabaddin Ebrahimi, 2007, Glasnik Matematicki, Serija III, V42, P301, DOI 10.3336/gm.42.2.05
[7] Ban A.I., 2006, J FUZZY MATH, V14, P513
[8] Bede B, 2013, STUD FUZZ SOFT COMP, V295, P1, DOI 10.1007/978-3-642-35221-8
[9] Bede B, 2006, ACTA POLYTECH HUNG, V3, P123
[10] Algebraic structures for fuzzy numbers from categorial point of view
Bica, Alexandru Mihai
[J]. SOFT COMPUTING, 2007, 11 (11) : 1099 - 1105

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