On interval fuzzy S-implications

被引:102
作者
Bedregal, B. C. [1 ]
Dimuro, G. P. [2 ]
Santiago, R. H. N. [1 ]
Reiser, R. H. S. [3 ]
机构
[1] Univ Fed Rio Grande do Norte, Dept Informat & Matemat Aplicada, BR-59072970 Natal, RN, Brazil
[2] Univ Fed Rio Grande, Programa Posgrad Modelagem Computac, BR-96201090 Rio Grande, Brazil
[3] Univ Catolica Pelotas, Programa Posgrad Informat, BR-96010000 Pelotas, Brazil
关键词
Fuzzy logic; Interval mathematics; Interval representation; Interval fuzzy implication; Interval S-implication; Interval automorphism; INTUITIONISTIC FUZZY; T-NORMS; IMPLICATION OPERATORS; R-IMPLICATIONS; UNCERTAINTY; SETS; REPRESENTATION; (S;
D O I
10.1016/j.ins.2009.11.035
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents an analysis of interval-valued S-implications and interval-valued automorphisms, showing a way to obtain an interval-valued S-implication from two S-implications, such that the resulting interval-valued S-implication is said to be obtainable. Some consequences of that are: (1) the resulting interval-valued S-implication satisfies the correctness property, and (2) some important properties of usual S-implications are preserved by such interval representations. A relation between S-implications and interval-valued S-implications is outlined, showing that the action of an interval-valued automorphism on an interval-valued S-implication produces another interval-valued S-implication. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:1373 / 1389
页数:17
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