TY - GEN
T1 - The structure of linguistic truth-valued lattice implication algebra
AU - Chang, Zhiyan
AU - Xu, Yang
AU - Liu, Jun
AU - Lai, Jiajun
PY - 2008
Y1 - 2008
N2 - A lattice-valued logical algebra -lattice implication algebra (LIA) and its corresponding logic and reasoning systems have been extensively investigated in the last few years. There have been also some research works with an attempt to establish the linguistic truth valued logical algebra for decision making purpose, including the linguistic truth valued logical algebra based on LIA. In this paper, in order to characterize the feature of linguistic truth-valued algebra based on LIA, firstly the product-irreducible and sum-irreducible elements of LIA are introduced and their properties are discussed,. Then some decomposition theorems in linguistic truth-valued LIA are given, these results will place a support for the further investigation of linguistic truth-valued algebra structure and modeling.
AB - A lattice-valued logical algebra -lattice implication algebra (LIA) and its corresponding logic and reasoning systems have been extensively investigated in the last few years. There have been also some research works with an attempt to establish the linguistic truth valued logical algebra for decision making purpose, including the linguistic truth valued logical algebra based on LIA. In this paper, in order to characterize the feature of linguistic truth-valued algebra based on LIA, firstly the product-irreducible and sum-irreducible elements of LIA are introduced and their properties are discussed,. Then some decomposition theorems in linguistic truth-valued LIA are given, these results will place a support for the further investigation of linguistic truth-valued algebra structure and modeling.
UR - http://www.scopus.com/inward/record.url?scp=58049177614&partnerID=8YFLogxK
U2 - 10.1142/9789812799470_0044
DO - 10.1142/9789812799470_0044
M3 - Conference contribution
AN - SCOPUS:58049177614
SN - 981279946X
SN - 9789812799463
T3 - World Scientific Proceedings Series on Computer Engineering and Information Science 1; Computational Intelligence in Decision and Control - Proceedings of the 8th International FLINS Conference
SP - 271
EP - 276
BT - World Scientific Proceedings Series on Computer Engineering and Information Science 1; Computational Intelligence in Decision and Control - Proceedings of the 8th International FLINS Conference
PB - World Scientific Publishing Co. Pte Ltd
T2 - Computational Intelligence in Decision and Control - 8th International FLINS Conference
Y2 - 21 September 2008 through 24 September 2008
ER -