Affiliations: School of Computer and Information Technology,
Liaoning Normal University, Dalian, 116029, P.R. China | Belgian Nuclear Research Centre (SCKCEN), Boeretang
200, 2400 Mol, Belgium | School of Mathematics & Computer Engineering,
Xihua University, Chengdu, Sichuan, 610039, P.R. China | Department of Mathematics, Southwest Jiaotong
University, Chengdu, Sichuan, 610031, P.R. China
Note: [] Corresponding author
Abstract: In the framework of the linguistic truth-valued logic, a linguistic
truth-valued reasoning approach for decision making with both comparable and
incomparable truth values is proposed in this paper. By using the lattice
implication algebra, an 18-element linguistic truth lattice-valued logic system
with linguistic hedges is established for the linguistic truth-valued logic to
better express both comparable and incomparable truth values. Mathematical
properties of disjunction, conjunction, negation and implication for the
linguistic truth-valued propositional logic are further investigated
respectively. As reasoning and operation are directly acted by linguistic truth
values in the decision process, the issue on how to obtain the weight for
rational decision making results is discussed. An illustration example shows
the proposed approach seems more effective for decision making under a fuzzy
environment with both comparable and incomparable linguistic truth values.
Keywords: Linguistic truth-valued logic, lattice implication algebra, decision making, incomparable information
