DocumentCode :
3731399
Title :
2-Dimension Linguistic Lattice Implication Algebra
Author :
Hua Zhu;Jianbin Zhao;Wenjing Chang;Yang Xu
Author_Institution :
Syst. Credibility Automated Verification Eng. Lab. of Sichuan Province, Chengdu, China
fYear :
2015
Firstpage :
128
Lastpage :
132
Abstract :
This paper concerns the representation of the linguistic evaluation set, which is often a total order set for its simple structure and operations. However, in some uncertain situations, the linguistic evaluation set with total order set is not enough for providing the assessments of the decision maker because all the linguistic labels are comparable. For describing the comparable and incomparable linguistic linguistic evaluation labels, a 2-dimension linguistic lattice implication algebra (2DL-LIA) is firstly introduced by combining two linguistic evaluation sets and a lattice implication algebra (LIA). Subsequently, the comparison analysis between two labels of a 2DL-LIA is investigated according to the structure of lattice. Finally, some operators are defined by using of the logical operators in a 2DL-LIA, and some properties of these operators are discussed, which are quite useful in the aggregation process of multi-attribute decision making (MADM).
Keywords :
"Pragmatics","Lattices","Algebra","Cognition","Decision making","Electronic mail"
Publisher :
ieee
Conference_Titel :
Intelligent Systems and Knowledge Engineering (ISKE), 2015 10th International Conference on
Type :
conf
DOI :
10.1109/ISKE.2015.80
Filename :
7383036
Link To Document :
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