THE ALGEBRA STRUCTURE OF LINGUISTIC TRUTH-VALUED INTUITIONISTIC FUZZY LATTICE

被引：0
作者：
Liu, Xin [1 ]
Yin, Ming'e [1 ]
Zou, Li [2 ,3 ]
机构：
[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China
[2] Liaoning Normal Univ, Sch Comp & Informat Technol, Dalian 116029, Peoples R China
[3] Nanjing Univ, State Key Lab Novel Software Technol, Nanjing 210093, Jiangsu, Peoples R China
来源：
DECISION MAKING AND SOFT COMPUTING | 2014年 / 9卷
基金：
中国国家自然科学基金;
关键词：
Lattice implication algebra; Linguistic truth-valued intuitionisitic fuzzy lattice; Triangle algebra; HEDGE ALGEBRAS; SET THEORY; LOGIC; WORDS; MODEL; REPRESENTATION; FUZZINESS; TERMS;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Linguistic truth-valued intuitionistic fuzzy lattice LI2n = (LI2n,U, boolean AND, ->, ((h(n), f), (h(n), f))), ((h(1), t), (h(1), f)) based on linguistic truth-valued lattice implication algebra has some special properties. We proof that linguistic truth valued intuitionistic fuzzy lattice is a triangle algebra. We obtain some triangle algebra structure of LI2n.
引用
收藏
页码：233 / 238
页数：6
相关论文
共 18 条
[1]   Elements of intuitionistic fuzzy logic. Part I [J].
Atanassov, K ;
Gargov, G .
FUZZY SETS AND SYSTEMS, 1998, 95 (01) :39-52
[2]   Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade's paper "Terminological difficulties in fuzzy set theory - the case of "Intuitionistic fuzzy sets" [J].
Atanassov, K .
FUZZY SETS AND SYSTEMS, 2005, 156 (03) :496-499
[3]   Advances and challenges in interval-valued fuzzy logic [J].
Cornelis, C ;
Deschrijver, G ;
Kerre, EE .
FUZZY SETS AND SYSTEMS, 2006, 157 (05) :622-627
[4]   On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision [J].
Deschrijver, Glad ;
Kerre, Etienne E. .
INFORMATION SCIENCES, 2007, 177 (08) :1860-1866
[5]   AN EXTENDED HIERARCHICAL LINGUISTIC MODEL FOR DECISION-MAKING PROBLEMS [J].
Espinilla, Macarena ;
Liu, Jun ;
Martinez, Luis .
COMPUTATIONAL INTELLIGENCE, 2011, 27 (03) :489-512
[6]   Computing with words in decision making: foundations, trends and prospects [J].
Herrera, F. ;
Alonso, S. ;
Chiclana, F. ;
Herrera-Viedma, E. .
FUZZY OPTIMIZATION AND DECISION MAKING, 2009, 8 (04) :337-364
[7]   A 2-tuple fuzzy linguistic representation model for computing with words [J].
Herrera, F ;
Martínez, L .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (06) :746-752
[8]   An algebraic approach to linguistic hedges in Zadeh's fuzzy logic [J].
Ho, NC ;
Nam, HV .
FUZZY SETS AND SYSTEMS, 2002, 129 (02) :229-254
[9]   A topological completion of refined hedge algebras and a model of fuzziness of linguistic terms and hedges [J].
Ho, Nguyen Cat .
FUZZY SETS AND SYSTEMS, 2007, 158 (04) :436-451
[10]   Fuzziness measure on complete hedge algebras and quantifying semantics of terms in linear hedge algebras [J].
Ho, Nguyen Cat ;
Long, Nguyen Van .
FUZZY SETS AND SYSTEMS, 2007, 158 (04) :452-471
12