Relating De Morgan triples with Atanassov's intuitionistic De Morgan triples via automorphisms

被引：35
作者：
da Costa, Claudilene Gomes [1 ]
Bedregal, Benjamin Callejas [2 ]
Doria Neto, Adriao Duarte [3 ]
机构：
[1] Fed Univ Paraiba UFPB, Dept Exact Sci DCE, BR-58297000 Rio Tinto, PB, Brazil
[2] Univ Fed Rio Grande do Norte, DIMAp, Grp Log Language Informat Theory & Applicat LoLIT, BR-59072970 Natal, RN, Brazil
[3] Univ Fed Rio Grande do Norte, Dept Comp Engn & Automat DCA, BR-59090530 Natal, RN, Brazil
来源：
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2011年 / 52卷 / 04期
关键词：
Atanassov's intuitionistic fuzzy sets; De Morgan triples; Automorphism; Atanassov's operators; INTERVAL-VALUED FUZZY; T-NORMS; REPRESENTATION; OPERATORS; NEGATIONS; SETS;
D O I：
10.1016/j.ijar.2010.11.004
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper the relation between De Morgan triples on the unit interval and Atanassov's intuitionistic De Morgan triples is presented, showing how to obtain, in a canonical way, Atanassov's intuitionistic De Morgan triples from De Morgan triples. Moreover, we also show that the automorphisms on the unit interval and on L* (the intuitionistic value lattice) are in one-to-one correspondence and how automorphisms on L* act on Atanassov's intuitionistic De Morgan triples. It is also proved that the action of automorphisms and the canonical construction of De Morgan triples on L* commutes. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：473 / 487
页数：15
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