A Decision Making Approach with Linguistic Weight and Unavoidable Incomparable Ranking

DOI

10.2991/ijcis.d.190923.003How to use a DOI?

Keywords

Linguistic lattice implication algebra; Linguistic-real valuation function; Incomparable ranking; Linguistic decision making

Abstract

In order to deal with the decision making problem including some linguistic values uncertainty information, we propose an approach for decision making with linguistic weighted and unavoidable incomparable ranking based on Linguistic-valued lattice implication algebra (LV-LIA). The properties of binary operations ⊗ and ⊕ are discussed in LV-LIA, and used to handle importance degree of the attributes expressed by linguistic values. We define a linguistic-real valuation function which is a positive valuation function and a linguistic-real metric distance implied by the linguistic-real valuation function is introduced, to process incomparable linguistic values in the results which need further procedure to make a certain decision. Illustrating examples show the effectiveness of the proposed approach which can rank the incomparable elements elastic.

Copyright

© 2019 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Yunxia Zhang
AU  - Degen Huang
AU  - Wei Gao
AU  - Vassilis G. Kaburlasos
PY  - 2019
DA  - 2019/10/04
TI  - A Decision Making Approach with Linguistic Weight and Unavoidable Incomparable Ranking
JO  - International Journal of Computational Intelligence Systems
SP  - 1102
EP  - 1112
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.190923.003
DO  - 10.2991/ijcis.d.190923.003
ID  - Zhang2019
ER  -