An approach for solving fuzzy multi-criteria decision problem under linguistic information

Hongyue Diao (), Ansheng Deng (), Hui Cui (), Xin Liu () and Li Zou ()
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Hongyue Diao: Dalian Maritime University
Ansheng Deng: Dalian Maritime University
Hui Cui: Dalian Maritime University
Xin Liu: Liaoning Normal University
Li Zou: Shandong Jianzhu University

Fuzzy Optimization and Decision Making, 2022, vol. 21, issue 1, No 3, 45-69

Abstract: Abstract Linguistic information processing exists in multi-criteria decision making, and linguistic truth-valued lattice implication algebra (LTV-LIA) has definite advantages in handling comparable and incomparable linguistic values. To deal with the preference relations with linguistic evaluation information, we establish a novel approach for solving fuzzy multi-criteria decision problem under linguistic information based on LTV-LIA. In this paper, we propose linguistic lattice-valued preference relation (LLVPR). LLVPR positive and negative matrixes are introduced to evaluate the advantages and disadvantages of alternatives respectively. In order to get a reasonable result, we introduce a new algorithm to check and repair the consistency of a LLVPR. A linguistic lattice-valued 2-tuple representation model (LLV2-tuple) and some new aggregation operations are presented to get the comprehensive linguistic information without information loss. Considering different decision makers have different preferences, a multiple preferences implication operation of LLV2-tuple is introduced. Finally, we propose a novel linguistic analytic hierarchy process embedded in aggregation layer and implication layer, introducing algorithm and numerical examples. A comparative analysis is adopted to illustrate the rationality.

Keywords: 2-tuple linguistic representation model; Lattice implication algebra; Linguistic information processing; Multi-criteria decision problem; Preference relation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10700-021-09356-x

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